Define specific heat of a gas at constant pressure. Derive the relationship between c p and cV
Answers
Molar Specific Heat of Gas at Constant Pressure:
The quantity of heat required to raise the temperature of one mole of a gas through 1K (or 1 °C) when pressure is kept constant is called molar specific heat at constant pressure. It is denoted by CP. Its S.I. unit is J K-1 mol-1.
Mayer's Relation
The difference between Cp and Cv is equal to the work done by 1 mole of gas in expansion when heated through 1° C. Work done by the gas at constant pressure = P.ΔV For 1 mole of gas PV=RT. When temperature is raised by 1° C , the volume changes from ΔV to ΔV+V, thus. PV=RT.
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Explanation:
Ques 3 Define specific heat of a gas at constant pressure. Derive relation between cp and cv.
Ans: The quantity of heat required to raise the temperature of one mole of a gas through 1K (or 1 °C) when pressure is kept constant is called molar specific heat at constant pressure. It is denoted by CP. Its S.I. unit is J K-1 mol-1.
Mayer's Relation