The value of the gas constant $(R)$ calculated from the perfect gas equation is $8.32 \ J/mol \cdot K$,whereas its value calculated from the knowledge of $C_P$ and $C_V$ of the gas is $1.98 \ cal/mol \cdot K$. From this data,the value of $J$ is ......... $J/cal$.

Which of the following formulae is wrong?

For a diatomic gas,write the value of the ratio of $C_P$ and $C_V$.

$Assertion:$ At a given temperature,the specific heat of a gas at constant pressure $(C_p)$ is always greater than its specific heat at constant volume $(C_v)$.
$Reason:$ When a gas is heated at constant volume,some extra heat is needed compared to that at constant pressure for doing work in expansion.

The specific heat of a gas is:

If the difference between the specific heats of a gas is $4150 \, J/kg \cdot K$ and the ratio of specific heats is $1.4$,then the specific heat at constant volume is ...... $J/kg \cdot K$.