{"id":10794,"date":"2020-12-18T11:44:36","date_gmt":"2020-12-18T06:14:36","guid":{"rendered":"https:\/\/cbselibrary.com\/?p=10794"},"modified":"2020-12-18T15:03:53","modified_gmt":"2020-12-18T09:33:53","slug":"specific-heat-capacity","status":"publish","type":"post","link":"https:\/\/cbselibrary.com\/specific-heat-capacity\/","title":{"rendered":"What is the Formula for Specific Heat Capacity?"},"content":{"rendered":"<h2><strong>What is the Formula for Specific <a href=\"https:\/\/cbselibrary.com\/heat-capacity\/\">Heat Capacity<\/a>?<\/strong><\/h2>\n<p><strong>Specific Heat Capacity<br \/>\n<\/strong>Figure shows water and cooking oil in similar pots and supplied with <a href=\"https:\/\/cbselibrary.com\/what-is-heat\/\">heat<\/a> at the same rate.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-93929 aligncenter\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity.png\" alt=\"Specific Heat Capacity\" width=\"395\" height=\"142\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity.png 395w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-300x108.png 300w\" sizes=\"(max-width: 395px) 100vw, 395px\" \/>Which liquid heats up at a faster rate: water or cooking oil?<br \/>\nSuch a deduction would be difficult to make because the water and cooking oil have different masses. A better comparison would be when both the water and cooking oil have the same mass.<\/p>\n<ol>\n<li>The <strong>specific heat capacity<\/strong> of a substance is <strong>the amount of heat that must be supplied to increase the temperature by 1\u00b0C for a mass of 1 kg<\/strong> of the substance.<\/li>\n<li>Specific heat capacity is expressed with units <strong>J kg<sup>-1<\/sup> \u00b0C<sup>-1<\/sup>\u00a0<\/strong> or \u00a0<strong>J kg<sup>-1<\/sup> \u00b0K<sup>-1<\/sup><\/strong>.<\/li>\n<li>The specific heat capacity of a type of glass is 840 J kg<sup>-1<\/sup> \u00b0C<sup>-1<\/sup>. This means that 840 J of heat is required to raise the temperature of 1 kg of the glass by 1 \u00b0C.<br \/>\nWater has a specific heat capacity of 4200 J kg<sup>-1<\/sup> \u00b0C<sup>-1<\/sup>\u00a0which is five times larger than the specific heat capacity glass.<br \/>\nFigure illustrates the difference in specific heat capacities of glass and water.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-93936 aligncenter\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-1.png\" alt=\"Specific Heat Capacity 1\" width=\"298\" height=\"320\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-1.png 298w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-1-279x300.png 279w\" sizes=\"(max-width: 298px) 100vw, 298px\" \/><\/li>\n<li>Specific heat capacity, c can be calculated from the amount of heat supplied, Q to a mass, m of a substance with the increase in temperature, \u03b8.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-93941 aligncenter\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-2.png\" alt=\"Specific Heat Capacity 2\" width=\"91\" height=\"68\" \/><\/li>\n<li>Therefore, the quantity of heat absorbed or lost from a body is given by:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-93944 aligncenter\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-3.png\" alt=\"Specific Heat Capacity 3\" width=\"363\" height=\"235\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-3.png 363w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-3-300x194.png 300w\" sizes=\"(max-width: 363px) 100vw, 363px\" \/><\/li>\n<li>It is important to relate the corresponding quantities and to use the correct units in the equation. Above figure illustrates this clearly.<\/li>\n<li>Specific heat capacity is a physical property of a substance. Some substances have low specific heat capacities while some have higher specific heat capacities. Table lists the specific heat capacities of some common substances.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-93955 aligncenter\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-4.png\" alt=\"Specific Heat Capacity 4\" width=\"407\" height=\"473\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-4.png 407w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-4-258x300.png 258w\" sizes=\"(max-width: 407px) 100vw, 407px\" \/><\/li>\n<li>Other forms of energy such as electrical energy, potential energy and kinetic energy can be converted to heat energy. This transformation can be summarised as shown in Figure.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-93963\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-11.png\" alt=\"Specific Heat Capacity 11\" width=\"409\" height=\"289\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-11.png 409w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-11-300x212.png 300w\" sizes=\"(max-width: 409px) 100vw, 409px\" \/><\/li>\n<\/ol>\n<p><strong>People also ask<\/strong><\/p>\n<ul>\n<li><a href=\"https:\/\/cbselibrary.com\/heat-capacity\/\">What is Heat Capacity?<\/a><\/li>\n<li><a href=\"https:\/\/cbselibrary.com\/latent-heat\/\">What is meant by Latent Heat?<\/a><\/li>\n<li><a href=\"https:\/\/cbselibrary.com\/specific-latent-heat\/\">What is the latent heat of fusion of Ice?<\/a><\/li>\n<li><a href=\"https:\/\/cbselibrary.com\/specific-latent-heat\/\">What is latent heat of vaporization of Water?<\/a><\/li>\n<\/ul>\n<h2><strong>Specific Heat Capacity of Water\u00a0Experiment<\/strong><\/h2>\n<p><strong>Aim:<\/strong> To determine the specific heat capacity of water.<br \/>\n<strong>Material:<\/strong> Tap water<br \/>\n<strong>Apparatus:<\/strong> Polystyrene cup, immersion heater, thermometer, power supply, stirrer, beam balance or electronic balance, stopwatch<br \/>\n<strong>Method:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-93970 aligncenter\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-5.png\" alt=\"Specific Heat Capacity 5\" width=\"352\" height=\"220\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-5.png 352w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-5-300x188.png 300w\" sizes=\"(max-width: 352px) 100vw, 352px\" \/><\/strong><\/p>\n<ol>\n<li>The apparatus is set up as shown in Figure.<\/li>\n<li>The cup is filled with m g of water (for example, m = 200 g).<\/li>\n<li>The initial temperature of the water, \u03b8<sub>1<\/sub>\u00a0is recorded.<\/li>\n<li>The heater is switched on. At the same time, the stopwatch is started.<\/li>\n<li>The water is stirred continuously so that its temperature is uniform.<\/li>\n<li>After t = 10 minutes, the heater Is switched off. The water is stirred and the highest temperature, \u03b8<sub>2<\/sub>\u00a0is recorded in Table.<\/li>\n<\/ol>\n<p><strong>Results:<br \/>\n<\/strong><img loading=\"lazy\" class=\"alignnone size-full wp-image-93976 aligncenter\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-6.png\" alt=\"Specific Heat Capacity 6\" width=\"599\" height=\"166\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-6.png 599w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-6-300x83.png 300w\" sizes=\"(max-width: 599px) 100vw, 599px\" \/><br \/>\n<strong>Analysis of Data:<br \/>\n<\/strong><img loading=\"lazy\" class=\"alignnone size-full wp-image-93978 aligncenter\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-7.png\" alt=\"Specific Heat Capacity 7\" width=\"462\" height=\"189\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-7.png 462w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-7-300x123.png 300w\" sizes=\"(max-width: 462px) 100vw, 462px\" \/><br \/>\n<strong>Discussion:<\/strong><\/p>\n<ol>\n<li>\u00a0The polystyrene cup is preferred to a glass beaker because it is a poor conductor of heat. This will reduce the amount of heat lost to the surroundings. It has a small heat capacity. The heat absorbed by the cup is negligible.<\/li>\n<li>The value of the specific heat capacity of water obtained in this activity is larger than the standard value because some heat was lost to the surroundings during the heating of the water. In the calculation, all the heat supplied by the heater was assumed to be absorbed by the water.<\/li>\n<\/ol>\n<p><strong>Conclusion:<\/strong><br \/>\nThe specific heat capacity of water determined by the activity is 4235\u00a0J kg<sup>-1<\/sup> \u00b0C<sup>-1<\/sup><\/p>\n<h2><strong>Specific Heat Capacity of Aluminium Experiment<\/strong><\/h2>\n<p><strong>Aim:<\/strong> To determine the specific heat capacity of aluminium.<br \/>\n<strong>Materials:<\/strong> Tissue paper, polystyrene sheet, a small amount of oil<br \/>\n<strong>Apparatus:<\/strong> Immersion heater, thermometer, power supply, beam balance, stopwatch, aluminium cylinder<br \/>\n<strong>Method:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-93982 aligncenter\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-8.png\" alt=\"Specific Heat Capacity 8\" width=\"456\" height=\"286\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-8.png 456w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-8-300x188.png 300w\" sizes=\"(max-width: 456px) 100vw, 456px\" \/><\/strong><\/p>\n<ol>\n<li>The apparatus is set up as shown in Figure.<\/li>\n<li>The mass of the aluminium cylinder, m is determined using the beam balance.<\/li>\n<li>The initial temperature of the aluminium cylinder, \u03b8<sub>1<\/sub>\u00a0is recorded in Table.<\/li>\n<li>The heater is switched on. At the same time, the stopwatch is started.<\/li>\n<li>After t = 10 minutes, the heater is switched off. The highest temperature, \u03b8<sub>2<\/sub>\u00a0of the aluminium cylinder is recorded in Table.<\/li>\n<\/ol>\n<p><strong>Results:<br \/>\n<\/strong><img loading=\"lazy\" class=\"alignnone size-full wp-image-93989 aligncenter\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-9.png\" alt=\"Specific Heat Capacity 9\" width=\"653\" height=\"181\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-9.png 653w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-9-300x83.png 300w\" sizes=\"(max-width: 653px) 100vw, 653px\" \/><br \/>\n<strong>Analysis of Data:<br \/>\n<\/strong><img loading=\"lazy\" class=\"alignnone size-full wp-image-93996\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-10.png\" alt=\"Specific Heat Capacity 10\" width=\"473\" height=\"192\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-10.png 473w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-10-300x122.png 300w\" sizes=\"(max-width: 473px) 100vw, 473px\" \/><br \/>\n<strong>Discussion:<\/strong><\/p>\n<ol>\n<li>The tissue paper and polystyrene sheet were used to reduce the heat lost from the aluminium cylinder to the surroundings.<\/li>\n<li>A small amount of oil was put into the hole so that there will be good thermal contact between the bulb of the thermometer and the aluminium cylinder. This is to ensure that thermal equilibrium between the thermometer and the cylinder can be reached very quickly. The reading of the thermometer will then be equal to the temperature of the aluminium cylinder.<\/li>\n<li>The value of the specific heat capacity of aluminium obtained in this activity is slightly larger than the standard value because some heat was lost to the surroundings during the heating of the aluminium cylinder. In the calculation, all the heat supplied by the heater was assumed to be absorbed by the cylinder.<\/li>\n<\/ol>\n<p><strong>Conclusion:<\/strong><br \/>\nThe specific heat capacity of aluminium determined by the activity is 929 J kg<sup>-1<\/sup> \u00b0C<sup>-1<\/sup>.<\/p>\n<h2><strong>Applications of Specific Heat Capacity<\/strong><\/h2>\n<ol>\n<li>The physical meaning of specific heat capacity, c can be illustrated as follows:<br \/>\n(a) When two objects of equal mass are heated at equal rates, the object with the smaller specific heat capacity will have a faster temperature increase.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-94011 aligncenter\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-Applications.png\" alt=\"Specific Heat Capacity Applications\" width=\"393\" height=\"127\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-Applications.png 393w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-Applications-300x97.png 300w\" sizes=\"(max-width: 393px) 100vw, 393px\" \/>(b) When two objects of equal mass are heated, to obtain the same temperature increase, more heat is needed to be supplied to the object with a larger specific heat capacity.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-94017\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-Applications-1.png\" alt=\"Specific Heat Capacity Applications 1\" width=\"393\" height=\"173\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-Applications-1.png 393w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-Applications-1-300x132.png 300w\" sizes=\"(max-width: 393px) 100vw, 393px\" \/><\/li>\n<li>When two hot objects of equal mass are left to cool down,<br \/>\n(a) the object with a smaller specific heat capacity will cool down at a faster rate,<br \/>\n(b) the object with a larger specific heat capacity will cool down at a slower rate.<\/li>\n<li>Materials with small specific heat capacities are used in situations that are different from materials with large specific heat capacities.<\/li>\n<li><strong>Cooking pot:<br \/>\n<\/strong><img loading=\"lazy\" class=\"alignnone size-full wp-image-94024\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-Applications-2.png\" alt=\"Specific Heat Capacity Applications 2\" width=\"274\" height=\"117\" \/><br \/>\nThe body, base and handle of the cooking pot in Figure are made of materials with different specific heat capacities.<br \/>\n(b) Table shows the characteristics of the parts of the cooking pot.<\/p>\n<table border=\"2\">\n<tbody>\n<tr>\n<td style=\"text-align: center;\" width=\"78\"><strong>Part<\/strong><\/td>\n<td style=\"text-align: center;\" width=\"324\"><strong>Characteristics<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\" width=\"78\">Base<\/td>\n<td style=\"text-align: center;\" width=\"324\">Copper base.<br \/>\nLow specific heat capacity. Becomes hot very quickly. Enables quick cooking of the food in the pot.<br \/>\nHigh density. The heavier base ensures that the pot is stable and will not topple over easily.<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\" width=\"78\">Handle<\/td>\n<td style=\"text-align: center;\" width=\"324\">Handle made of synthetic material.<br \/>\nLarge specific heat capacity. Will not become too hot when heat is absorbed.<br \/>\nPoor conductor of heat. Very little heat from the body and contents of the pot is transferred to the hand of the person holding the pot.<br \/>\nLow density. Does not add very much to the total weight of the pot.<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\" width=\"78\">Body<\/td>\n<td style=\"text-align: center;\" width=\"324\">Aluminium body.<br \/>\nRelatively low specific heat capacity. Becomes hot quickly.<br \/>\nLow density. Reduces the overall weight of the pot.<br \/>\nDoes not react with the food in the pot.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li><strong>The cooling system of a car engine:<\/strong><br \/>\n(a) Water has a large specific heat capacity. It can absorb a large amount of heat without a high increase in temperature. Water is also readily available at low cost. This makes water very useful as a cooling agent in car engines and large machines that generate a lot of heat.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-94026\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-Applications-3.png\" alt=\"Specific Heat Capacity Applications 3\" width=\"410\" height=\"235\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-Applications-3.png 410w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-Applications-3-300x172.png 300w\" sizes=\"(max-width: 410px) 100vw, 410px\" \/><br \/>\n(b) Water is used to cool down internal combustion engines such as the car engine. Figure shows how heat is removed from the engine and lost to the surroundings using water as the surroundings using water as the cooling agent.<br \/>\n(c) A water pump circulates the water. Heat generated from the combustion of the petrol-air mixture is absorbed by the water that flows along the spaces in the engine walls. The hot water flows to the radiator where heat is lost to the cooler air that flows through the cooling<br \/>\n(d) The transfer of heat energy in the cooling system can be summarised as in Figure.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-94028\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-Applications-4.png\" alt=\"Specific Heat Capacity Applications 4\" width=\"333\" height=\"45\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-Applications-4.png 333w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-Applications-4-300x41.png 300w\" sizes=\"(max-width: 333px) 100vw, 333px\" \/><\/li>\n<li><strong>Sea breeze and land breeze<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-94030\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-Applications-5.png\" alt=\"Specific Heat Capacity Applications 5\" width=\"379\" height=\"314\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-Applications-5.png 379w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-Applications-5-300x249.png 300w\" sizes=\"(max-width: 379px) 100vw, 379px\" \/><br \/>\n<\/strong><img loading=\"lazy\" class=\"alignnone size-full wp-image-94033\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-Applications-6.png\" alt=\"Specific Heat Capacity Applications 6\" width=\"376\" height=\"306\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-Applications-6.png 376w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-Applications-6-300x244.png 300w\" sizes=\"(max-width: 376px) 100vw, 376px\" \/><br \/>\n(a) Sea breeze is the natural breeze that blows from the sea towards the land during the day.<br \/>\n(b) Land breeze is the natural breeze that blows from the land towards the sea at night.<br \/>\n(c) They are caused by the sea having a bigger heat capacity than the land.<br \/>\n(d) Figure explain the formation of the sea breeze and land breeze.<\/li>\n<li><strong>Moderate climate:<\/strong><br \/>\n(a) The presence of large masses of water such as lakes, the sea and the ocean can have an effect on the climate at a certain place.<br \/>\n(b) During the daytime in hot weather conditions, the water absorbs heat from the surroundings. This helps to reduce the temperature of the surroundings.<br \/>\n(c) During night-time, the water releases the heat absorbed. This prevents the temperature from dropping to very low values.<br \/>\n(d) In this way, areas near a large mass of water will have a smaller range of temperature changes and therefore, moderate climate conditions.<\/li>\n<li><strong>Factories with low ceilings:<\/strong><br \/>\nSome factories which do not have large machinery are constructed with low ceilings. This reduces the volume of air inside the building. The smaller mass of air will have a smaller heat capacity. Less heat needs to be removed to cool down the air. This helps to reduce the air conditioning costs for the factory.<\/li>\n<\/ol>\n<h2><strong>Specific Heat Capacity Example Problems with Solutions<\/strong><\/h2>\n<p><strong>Example 1.<\/strong> How much heat energy is required to raise the temperature of a 3 kg sheet of glass from 24\u00b0C to 36\u00b0C? [Specific heat capacity of glass = 840 J kg<sup>-1<\/sup> \u00b0C<sup>-1<\/sup>]<br \/>\n<strong>Solution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-94051\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-Example-Problem.png\" alt=\"Specific Heat Capacity Example Problem\" width=\"198\" height=\"186\" \/><br \/>\n<\/strong><\/p>\n<p><strong>Example 2.\u00a0<\/strong>Water in an ice maker of a refrigerator has a mass of 0.4 kg and a temperature of 22\u00b0C. What is the temperature of the water after 33 600 J of heat has been removed from it?<br \/>\n[Specific heat capacity of water = 4200 J kg<sup>-1<\/sup> \u00b0C<sup>-1<\/sup>]<br \/>\n<strong>Solution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-94053\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-Example-Problem-2.png\" alt=\"Specific Heat Capacity Example Problem 2\" width=\"369\" height=\"168\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-Example-Problem-2.png 369w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-Example-Problem-2-300x137.png 300w\" sizes=\"(max-width: 369px) 100vw, 369px\" \/><br \/>\n<\/strong><\/p>\n<p><strong>Example 3.\u00a0<\/strong>A mechanic dropped a steel nut of mass 0.02 kg and temperature 90\u00b0C into 0.25 kg of water at 24\u00b0C in a polystyrene cup. What is the temperature when the steel nut and water have come to thermal equilibrium?<br \/>\n[Specific heat capacity of water = 4200 J kg<sup>-1<\/sup> \u00b0C<sup>-1<\/sup>; Specific heat capacity of steel = 450 J kg<sup>-1<\/sup> \u00b0C<sup>-1<\/sup>]<br \/>\n* Assume that the exchange of heat is between the steel nut and water only.<br \/>\n<strong>Solution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-94056\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-Example-Problem-3.png\" alt=\"Specific Heat Capacity Example Problem 3\" width=\"393\" height=\"313\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-Example-Problem-3.png 393w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-Example-Problem-3-300x239.png 300w\" sizes=\"(max-width: 393px) 100vw, 393px\" \/><br \/>\n<\/strong><\/p>\n<p><strong>Example 4.\u00a0<\/strong>An electric kettle with a power rating, P can heat up 4.0 kg of water from 30\u00b0C to 100\u00b0C in 10 minutes.<br \/>\n(a) Calculate the power, P of the kettle.<br \/>\n(b) What assumption must you make to arrive at\u00a0the answer?<br \/>\n[Specific heat capacity of water = 4200 J kg<sup>-1<\/sup> \u00b0C<sup>-1<\/sup>]<br \/>\n<strong>Solution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-94061\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-Example-Problem-4.png\" alt=\"Specific Heat Capacity Example Problem 4\" width=\"391\" height=\"252\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-Example-Problem-4.png 391w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-Example-Problem-4-300x193.png 300w\" sizes=\"(max-width: 391px) 100vw, 391px\" \/><br \/>\n<\/strong><\/p>\n<p><strong>Example 5.\u00a0<\/strong>At a certain section of the Victoria Falls in Africa, water drops vertically through a height of 480 m.<br \/>\n(a) Explain why the water at the base of the waterfall has a temperature slightly higher than the water at the top.<br \/>\n(b) Estimate the maximum possible difference in the temperature between the water at the base and at the top of the waterfall. (Take g = 10 m s<sup>-2<\/sup>)<br \/>\n<strong>Solution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-94070\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-Example-Problem-5.png\" alt=\"Specific Heat Capacity Example Problem 5\" width=\"393\" height=\"220\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-Example-Problem-5.png 393w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-Example-Problem-5-300x168.png 300w\" sizes=\"(max-width: 393px) 100vw, 393px\" \/><br \/>\n<\/strong><\/p>\n<p><strong>Example 6.\u00a0<\/strong>In a ballistics test, a bullet travelling at a velocity of 360 m s<sup>-1<\/sup>\u00a0is stopped by a stationary sand bag as shown in Figure. 20% of the energy lost by the bullet is converted to heat energy that is absorbed by the bullet.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-94080\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-Example-Problem-6.png\" alt=\"Specific Heat Capacity Example Problem 6\" width=\"278\" height=\"120\" \/><br \/>\nWhat is the increase in temperature of the bullet? [Specific heat capacity of the bullet = 150 J kg<sup>-1<\/sup> \u00b0C<sup>-1<\/sup>]<br \/>\n<strong>Solution:<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-94089\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-Example-Problem-7.png\" alt=\"Specific Heat Capacity Example Problem 7\" width=\"396\" height=\"260\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-Example-Problem-7.png 396w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity-Example-Problem-7-300x197.png 300w\" sizes=\"(max-width: 396px) 100vw, 396px\" \/><\/p>\n","protected":false},"excerpt":{"rendered":"<p>What is the Formula for Specific Heat Capacity? Specific Heat Capacity Figure shows water and cooking oil in similar pots and supplied with heat at the same rate. Which liquid heats up at a faster rate: water or cooking oil? Such a deduction would be difficult to make because the water and cooking oil have &#8230; <a title=\"What is the Formula for Specific Heat Capacity?\" class=\"read-more\" href=\"https:\/\/cbselibrary.com\/specific-heat-capacity\/\" aria-label=\"More on What is the Formula for Specific Heat Capacity?\">Read more<\/a><\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[404],"tags":[3898,3905,3906,3896,3899,3903,3904,3902,3897,3901,3900,3895],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v17.8 (Yoast SEO v18.4.1) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>What is the Formula for Specific Heat Capacity? - CBSE Library<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/cbselibrary.com\/specific-heat-capacity\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"What is the Formula for Specific Heat Capacity?\" \/>\n<meta property=\"og:description\" content=\"What is the Formula for Specific Heat Capacity? Specific Heat Capacity Figure shows water and cooking oil in similar pots and supplied with heat at the same rate. Which liquid heats up at a faster rate: water or cooking oil? Such a deduction would be difficult to make because the water and cooking oil have ... Read more\" \/>\n<meta property=\"og:url\" content=\"https:\/\/cbselibrary.com\/specific-heat-capacity\/\" \/>\n<meta property=\"og:site_name\" content=\"CBSE Library\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/aplustopper\/\" \/>\n<meta property=\"article:published_time\" content=\"2020-12-18T06:14:36+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2020-12-18T09:33:53+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity.png\" \/>\n<meta name=\"twitter:card\" content=\"summary\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Veerendra\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"9 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Organization\",\"@id\":\"https:\/\/cbselibrary.com\/#organization\",\"name\":\"Aplus Topper\",\"url\":\"https:\/\/cbselibrary.com\/\",\"sameAs\":[\"https:\/\/www.facebook.com\/aplustopper\/\"],\"logo\":{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/cbselibrary.com\/#logo\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2018\/12\/Aplus_380x90-logo.jpg\",\"contentUrl\":\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2018\/12\/Aplus_380x90-logo.jpg\",\"width\":1585,\"height\":375,\"caption\":\"Aplus Topper\"},\"image\":{\"@id\":\"https:\/\/cbselibrary.com\/#logo\"}},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/cbselibrary.com\/#website\",\"url\":\"https:\/\/cbselibrary.com\/\",\"name\":\"CBSE Library\",\"description\":\"Improve your Grades\",\"publisher\":{\"@id\":\"https:\/\/cbselibrary.com\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/cbselibrary.com\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"en-US\"},{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/cbselibrary.com\/specific-heat-capacity\/#primaryimage\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity.png\",\"contentUrl\":\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity.png\",\"width\":395,\"height\":142,\"caption\":\"Specific Heat Capacity\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/cbselibrary.com\/specific-heat-capacity\/#webpage\",\"url\":\"https:\/\/cbselibrary.com\/specific-heat-capacity\/\",\"name\":\"What is the Formula for Specific Heat Capacity? - CBSE Library\",\"isPartOf\":{\"@id\":\"https:\/\/cbselibrary.com\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/cbselibrary.com\/specific-heat-capacity\/#primaryimage\"},\"datePublished\":\"2020-12-18T06:14:36+00:00\",\"dateModified\":\"2020-12-18T09:33:53+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/cbselibrary.com\/specific-heat-capacity\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/cbselibrary.com\/specific-heat-capacity\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/cbselibrary.com\/specific-heat-capacity\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/cbselibrary.com\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"What is the Formula for Specific Heat Capacity?\"}]},{\"@type\":\"Article\",\"@id\":\"https:\/\/cbselibrary.com\/specific-heat-capacity\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/cbselibrary.com\/specific-heat-capacity\/#webpage\"},\"author\":{\"@id\":\"https:\/\/cbselibrary.com\/#\/schema\/person\/1363657f2432a17193a1f5d6404b8a0e\"},\"headline\":\"What is the Formula for Specific Heat Capacity?\",\"datePublished\":\"2020-12-18T06:14:36+00:00\",\"dateModified\":\"2020-12-18T09:33:53+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/cbselibrary.com\/specific-heat-capacity\/#webpage\"},\"wordCount\":1837,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/cbselibrary.com\/#organization\"},\"image\":{\"@id\":\"https:\/\/cbselibrary.com\/specific-heat-capacity\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity.png\",\"keywords\":[\"How to Calculate Specific Heat Capacity\",\"How to calculate specific heat capacity of aluminium\",\"How to calculate specific heat capacity of water\",\"Specific Heat Capacity\",\"Specific Heat Capacity Equation\",\"Specific Heat Capacity Example Problems\",\"Specific Heat Capacity Example Problems with Solutions\",\"Specific Heat Capacity ExampleS\",\"Specific Heat Capacity formula\",\"specific heat capacity formula physics\",\"specific heat capacity unit\",\"Understanding Specific Heat Capacity\"],\"articleSection\":[\"Physics\"],\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/cbselibrary.com\/specific-heat-capacity\/#respond\"]}]},{\"@type\":\"Person\",\"@id\":\"https:\/\/cbselibrary.com\/#\/schema\/person\/1363657f2432a17193a1f5d6404b8a0e\",\"name\":\"Veerendra\",\"image\":{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/cbselibrary.com\/#personlogo\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/93ba5dedf76e89af65ae2e1d6ac09855?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/93ba5dedf76e89af65ae2e1d6ac09855?s=96&d=mm&r=g\",\"caption\":\"Veerendra\"},\"url\":\"https:\/\/cbselibrary.com\/author\/veerendra\/\"}]}<\/script>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"What is the Formula for Specific Heat Capacity? - CBSE Library","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/cbselibrary.com\/specific-heat-capacity\/","og_locale":"en_US","og_type":"article","og_title":"What is the Formula for Specific Heat Capacity?","og_description":"What is the Formula for Specific Heat Capacity? Specific Heat Capacity Figure shows water and cooking oil in similar pots and supplied with heat at the same rate. Which liquid heats up at a faster rate: water or cooking oil? Such a deduction would be difficult to make because the water and cooking oil have ... Read more","og_url":"https:\/\/cbselibrary.com\/specific-heat-capacity\/","og_site_name":"CBSE Library","article_publisher":"https:\/\/www.facebook.com\/aplustopper\/","article_published_time":"2020-12-18T06:14:36+00:00","article_modified_time":"2020-12-18T09:33:53+00:00","og_image":[{"url":"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity.png"}],"twitter_card":"summary","twitter_misc":{"Written by":"Veerendra","Est. reading time":"9 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Organization","@id":"https:\/\/cbselibrary.com\/#organization","name":"Aplus Topper","url":"https:\/\/cbselibrary.com\/","sameAs":["https:\/\/www.facebook.com\/aplustopper\/"],"logo":{"@type":"ImageObject","@id":"https:\/\/cbselibrary.com\/#logo","inLanguage":"en-US","url":"https:\/\/cbselibrary.com\/wp-content\/uploads\/2018\/12\/Aplus_380x90-logo.jpg","contentUrl":"https:\/\/cbselibrary.com\/wp-content\/uploads\/2018\/12\/Aplus_380x90-logo.jpg","width":1585,"height":375,"caption":"Aplus Topper"},"image":{"@id":"https:\/\/cbselibrary.com\/#logo"}},{"@type":"WebSite","@id":"https:\/\/cbselibrary.com\/#website","url":"https:\/\/cbselibrary.com\/","name":"CBSE Library","description":"Improve your Grades","publisher":{"@id":"https:\/\/cbselibrary.com\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/cbselibrary.com\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"ImageObject","@id":"https:\/\/cbselibrary.com\/specific-heat-capacity\/#primaryimage","inLanguage":"en-US","url":"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity.png","contentUrl":"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity.png","width":395,"height":142,"caption":"Specific Heat Capacity"},{"@type":"WebPage","@id":"https:\/\/cbselibrary.com\/specific-heat-capacity\/#webpage","url":"https:\/\/cbselibrary.com\/specific-heat-capacity\/","name":"What is the Formula for Specific Heat Capacity? - CBSE Library","isPartOf":{"@id":"https:\/\/cbselibrary.com\/#website"},"primaryImageOfPage":{"@id":"https:\/\/cbselibrary.com\/specific-heat-capacity\/#primaryimage"},"datePublished":"2020-12-18T06:14:36+00:00","dateModified":"2020-12-18T09:33:53+00:00","breadcrumb":{"@id":"https:\/\/cbselibrary.com\/specific-heat-capacity\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/cbselibrary.com\/specific-heat-capacity\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/cbselibrary.com\/specific-heat-capacity\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/cbselibrary.com\/"},{"@type":"ListItem","position":2,"name":"What is the Formula for Specific Heat Capacity?"}]},{"@type":"Article","@id":"https:\/\/cbselibrary.com\/specific-heat-capacity\/#article","isPartOf":{"@id":"https:\/\/cbselibrary.com\/specific-heat-capacity\/#webpage"},"author":{"@id":"https:\/\/cbselibrary.com\/#\/schema\/person\/1363657f2432a17193a1f5d6404b8a0e"},"headline":"What is the Formula for Specific Heat Capacity?","datePublished":"2020-12-18T06:14:36+00:00","dateModified":"2020-12-18T09:33:53+00:00","mainEntityOfPage":{"@id":"https:\/\/cbselibrary.com\/specific-heat-capacity\/#webpage"},"wordCount":1837,"commentCount":0,"publisher":{"@id":"https:\/\/cbselibrary.com\/#organization"},"image":{"@id":"https:\/\/cbselibrary.com\/specific-heat-capacity\/#primaryimage"},"thumbnailUrl":"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/Specific-Heat-Capacity.png","keywords":["How to Calculate Specific Heat Capacity","How to calculate specific heat capacity of aluminium","How to calculate specific heat capacity of water","Specific Heat Capacity","Specific Heat Capacity Equation","Specific Heat Capacity Example Problems","Specific Heat Capacity Example Problems with Solutions","Specific Heat Capacity ExampleS","Specific Heat Capacity formula","specific heat capacity formula physics","specific heat capacity unit","Understanding Specific Heat Capacity"],"articleSection":["Physics"],"inLanguage":"en-US","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/cbselibrary.com\/specific-heat-capacity\/#respond"]}]},{"@type":"Person","@id":"https:\/\/cbselibrary.com\/#\/schema\/person\/1363657f2432a17193a1f5d6404b8a0e","name":"Veerendra","image":{"@type":"ImageObject","@id":"https:\/\/cbselibrary.com\/#personlogo","inLanguage":"en-US","url":"https:\/\/secure.gravatar.com\/avatar\/93ba5dedf76e89af65ae2e1d6ac09855?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/93ba5dedf76e89af65ae2e1d6ac09855?s=96&d=mm&r=g","caption":"Veerendra"},"url":"https:\/\/cbselibrary.com\/author\/veerendra\/"}]}},"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/cbselibrary.com\/wp-json\/wp\/v2\/posts\/10794"}],"collection":[{"href":"https:\/\/cbselibrary.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/cbselibrary.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/cbselibrary.com\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/cbselibrary.com\/wp-json\/wp\/v2\/comments?post=10794"}],"version-history":[{"count":0,"href":"https:\/\/cbselibrary.com\/wp-json\/wp\/v2\/posts\/10794\/revisions"}],"wp:attachment":[{"href":"https:\/\/cbselibrary.com\/wp-json\/wp\/v2\/media?parent=10794"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/cbselibrary.com\/wp-json\/wp\/v2\/categories?post=10794"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/cbselibrary.com\/wp-json\/wp\/v2\/tags?post=10794"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}