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

The energy required to increase the temperature of $180 \ g$ of liquid water from $10^{\circ} C$ to $15^{\circ} C$ is $3765 \ J$. What is $C_{p}$ of water in $J \ mol^{-1} \ K^{-1}$ ? $(H_2O = 18 \ u)$

$A$ 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

If $192 \ J$ of heat is required to increase the temperature of $45.0 \ g$ of silicon by $6 \ ^oC$,what is its specific heat capacity?

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 $...... \ K$.