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

$4.48 \ L$ 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 $... \ cal \ mol^{-1} K^{-1}$.

What is heat capacity?

At constant volume,$4 \; mol$ of an ideal gas when heated from $300 \; K$ to $500 \; K$ changes its internal energy by $5000 \; J$. The molar heat capacity at constant volume is ............... $J \; mol^{-1} \; K^{-1}$

Heat capacity $(C_{p})$ is an extensive property but specific heat $(c)$ is an intensive property. What will be the relation between $C_{p}$ and $c$ for $1 \ mol$ of water?