`C_(p)-C_(v)=R//J` for one mole of the gas. If we consider n moles of the gas, the formula becomes:

Options

A. `C_(p)-C_(v)=(R )/(J)`
B. `C_(p)-C_(v)=n.R//J`
C. `C_( r)-C_(v)=(R )/(nJ)`
D. None of the above.

Answer

A

Explanation

`C_(p)-C_(v)=(R )/(J)` Here R is gas constant for 1 mole of the gas.
For n moles of the gas each terms on L.H.S and the term on R.H.S. is multiplied by n and hence even for n moles of gas the relation remains the same.
Thus, correct choice is (a).