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

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 $...... \ K$.

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 $1^{\circ}C$.

Molar heat capacity of water in equilibrium with ice at constant pressure is

$4.48 \ L$ of an ideal gas at $1 \ atm$ and $273 \ K$ requires $12 \ cal$ to raise the temperature by $15 \ ^\circ C$ at constant volume. The $C_p$ of the gas is $... \ cal \ mol^{-1} K^{-1}$.

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 $........$.