In the equation C_P - C_V = R,what does R rep | vedclass

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(C) The relation $C_P - C_V = R$ is known as Mayer's relation for an ideal gas.Here,$C_P$ is the molar heat capacity at constant pressure and $C_V$ is

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Work done by the system when expanding one mole of gas per degree increase in temperature

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(C) The relation $C_P - C_V = R$ is known as Mayer's relation for an ideal gas.Here,$C_P$ is the molar heat capacity at constant pressure and $C_V$ is the molar heat capacity at constant volume.When one mole of an ideal gas is heated by $1 \ K$,the increase in internal energy is $C_V \Delta T = C_V 	imes 1 = C_V$.If the gas is heated at constant pressure,the heat supplied is $C_P \Delta T = C_P 	imes 1 = C_P$.According to the first law of thermodynamics,$Q = \Delta U + W$.Thus,$C_P = C_V + W$,which implies $C_P - C_V = W$.Therefore,$R$ represents the work done by the system during the expansion of one mole of an ideal gas when its temperature is increased by $1 \ K$ (or $1 \ ^\circ C$).

In the equation $C_P - C_V = R$,what does $R$ represent?

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