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).

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

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 $...... \ K$.

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

Fill in the blanks:
$(i)$ The foundation of thermochemistry is based on the ......... law of thermodynamics.
$(ii)$ The amount of heat required to raise the temperature of a substance by $1^{\circ}C$ is called its ......... .
$(iii)$ Specific heat capacity is the amount of heat required to raise the temperature of ......... of a substance by $1^{\circ}C$.

The $C_{p}$ of $H_{2}O_{(l)}$ is $75.3 \ J \ mol^{-1} \ K^{-1}$. What is the energy (in $J$) required to raise $180 \ g$ of liquid water from $10^{\circ}C$ to $15^{\circ}C$? $(H_{2}O = 18 \ u)$