The total internal energy of $2$ mole monoatomic ideal gas at temperature $T=300\,K$ will be ...........$J$. (Given $R = 8.31\,J/mol\cdot K$)

What is the molar heat capacity of water? ($R$ is the universal gas constant.)

For a monoatomic gas,work done at constant pressure is $W$. The heat supplied at constant volume for the same rise in temperature of the gas is

One mole of an ideal gas requires $207 \, J$ of heat to raise the temperature by $10 \, K$ when heated at constant pressure. If the same gas is heated at constant volume to raise the temperature by the same $10 \, K$,the heat required is ...... $J$ (Given the gas constant $R = 8.3 \, J/mol \cdot K$)

On giving an equal amount of heat at constant volume to $1 \, mol$ of a monoatomic and a diatomic gas,the rise in temperature $(\Delta T)$ is more for:

The molar specific heat at constant pressure of an ideal gas is $(7/2)R$. The ratio of specific heat at constant pressure to that at constant volume is