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

$A$ piece of metal weighing $100 \, g$ is heated to $80^{\circ} C$ and dropped into $1 \, kg$ of cold water in an insulated container at $15^{\circ} C$. If the final temperature of the water in the container is $15.69^{\circ} C$,the specific heat of the metal in $J / g \cdot ^{\circ} C$ is

The heat required to raise the temperature of $1 \ mol$ of a substance by $1^{\circ}C$ is called:

The molar heat capacity of water at constant pressure is $75 \ J \ K^{-1} \ mol^{-1}$. When $1.0 \ kJ$ of heat is supplied to $100 \ g$ of water which is free to expand,the increase in temperature of water is $...... \ K$.

$20 \ cal$ 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 $Al = 27 \ g \ mol^{-1}$)