`c_(P)-c_(V)=xJ*g^(-1)*K^(-1) and C_(P,m)-C_(V,m)=Xj*mol^(-1)*K^(-1)` for an ideal gas. If the molecular mass of the gas be M, then establish a relation among x, X and M.

Explanation

For a substance, molar heat capacity=specific heat capacity`xx`molar mass.
Therefore, `C_(P,m)=C_(P)xxM and C_(P)xxM and C_(V,m)=C_(V)xxM`
Given: `C_(P,m)-C_(V,m)=XJ*mol^(-1)K^(-1)`
`therefore C_(P)xxM-C_(V)xxM=X`
or, `(C_(P)-C_(V))M=X`, hence, X=xM.