$A$ polyatomic gas with $6$ degrees of freedom does $25 \ J$ of work when it is expanded at constant pressure. The heat given to the gas is ..... $J$.

If $c_p$ and $c_v$ denote the specific heats (per unit mass) of an ideal gas of molecular weight $M$,then which of the following relations holds true,where $R$ is the molar gas constant?

When $5 \ mol$ of oxygen gas is heated at constant volume from $10^{\circ}C$ to $20^{\circ}C$,the change in internal energy is ........ $cal$. (Given: $C_P = 8 \ cal/mol \cdot K$,$R = 2 \ cal/mol \cdot K$)

The relation $C_p - C_V = R$ ($C_p$ and $C_V$ are the molar specific heats at constant pressure and volume) is exactly true for

$310 \ J$ of heat is required to raise the temperature of $2 \ moles$ of an ideal gas at constant pressure from $25 \ ^oC$ to $35 \ ^oC$. The amount of heat required to raise the temperature of the gas through the same range at constant volume is $.... \ J$.

$306 \ J$ of heat is required to raise the temperature of $2 \ moles$ of an ideal gas at constant pressure from $25^{\circ} C$ to $35^{\circ} C$. The amount of heat required to raise the temperature of the same gas through the same range at constant volume is (in $J$)