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Question

(A) For an ideal gas,the relationship between molar heat capacity at constant pressure $(C_P)$ and molar heat capacity at constant volume $(C_V)$ is g

Vedclass · Accepted Answer

$C_P - C_V = \frac{R}{J}$

Vedclass · Answer

(A) For an ideal gas,the relationship between molar heat capacity at constant pressure $(C_P)$ and molar heat capacity at constant volume $(C_V)$ is given by Mayer's relation: $C_P - C_V = R$,where $R$ is the universal gas constant.If the heat capacities are measured in units of energy (like Joules) and the gas constant $R$ is expressed in units of work,the relation holds directly.However,in older systems where heat is measured in calories and work in Joules,the mechanical equivalent of heat $J$ is introduced to convert units,resulting in the relation $C_P - C_V = \frac{R}{J}$.

Identify the correct relationship between the molar heat capacities of an ideal gas.

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