What will be the $\Delta U$ value, when one mole of oxygen $(O_2)$ is heated from $-20^{\circ} C$ to $40^{\circ} C$ at constant volume (in $J$)? (Molar heat capacity for oxygen $\simeq 20.8 \ J \ mol^{-1} \ K^{-1}$)

Molar heat capacity of water in equilibrium with ice at constant pressure is- (Enthalpy of fusion of ice $\Delta H_f = 6 \ kJ/mol$,$T_m = 273 \ K$)

When a $60 \, W$ electric heater is immersed in a gas for $100 \, s$ in a constant volume container with adiabatic walls,the temperature of the gas rises by $5^{\circ} \, C$. The heat capacity of the given gas is $......... \, J \, K^{-1}$ (Nearest integer).

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 $........$.

The heat required to raise the temperature of a body by $1 \, K$ is called

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