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

$A$ 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 a body by $1 \, K$ is called

The ratio of the heat capacities $C_p / C_V$ for one mole of a gas is $1.67$. The gas is

$C_P$ is always greater than $C_V$ for an ideal gas. Choose the correct option.

Fill in the blanks given below:
$(i)$ Specific heat capacity is the amount of heat required to raise the temperature of $1 \ g$ of a substance by $1^{\circ} C$.
$(ii)$ The unit of heat capacity is $........$.
$(iii)$ Heat capacity is an $........$ property of a substance.
$(iv)$ The amount of heat required to raise the temperature of $1 \ mol$ of a substance by $1^{\circ} C$ is called $........$.