What is the value of ${\left[ {\partial U/\partial T} \right]_V}$ for $He$ gas?

Molar heat capacity $(C_p)$ of water at constant pressure is $75 \ J \ K^{-1} \ mol^{-1}$. The increase in temperature (in $K$) of $100 \ g$ of water when $1 \ kJ$ of heat is supplied to it is

$20 \ cal$ of heat is required to increase the temperature of a $15 \ g$ piece of $Al$ metal from $25^{\circ}C$ to $30^{\circ}C$. Calculate the heat capacity,specific heat capacity,and molar heat capacity of the $Al$ piece. (Given: Atomic mass of $Al = 27 \ g \ mol^{-1}$)

Heat capacity $(C_{p})$ is an extensive property but specific heat $(c)$ is an intensive property. What will be the relation between $C_{p}$ and $c$ for $1 \ mol$ of water?

Calculate the number of $kJ$ of heat necessary to raise the temperature of $60.0 \, g$ of aluminium from $35^{\circ} C$ to $55^{\circ} C$. Molar heat capacity of $Al$ is $24 \, J \, mol^{-1} \, K^{-1}$.

State the units of specific heat capacity and molar heat capacity.