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(a) The specific heat capacity at constant volume (c v) is defined as the quantity of heat required to raise the temperature of 1 kg of the gas by 1 K if the volume of the gas remains constant.he molar heat capacity at constant volume (C V) is the quantity of heat required to raise the temperature of 1 mole of the gas by 1 K if the volume of the gas remains constant.
Heat Capacity: ratio of the amount of energy absorbed to the associated temperature rise. Example: if it takes 10 calories to raise the temperature of a glass of water by 2 C, then the heat capacity of the glass of water is 10 calories/2C = 5 calories per C. Specific Heat: the heat capacity of a substance per unit mass. Example: for water, it takes 1 calorie to raise the temperature of 1 gram of water by 1C. So the specific heat for water is 1cal/gram C.