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

For a reaction $H_{2(g)} + \frac{1}{2}O_{2(g)} \longrightarrow H_2O_{(l)}$; $\Delta C_p = 32 \ J \ K^{-1}$,$\Delta H$ at $27 \ ^oC = -285.8 \ kJ \ mol^{-1}$. What will be the value of $\Delta H$ at $127 \ ^oC$ in $kJ \ mol^{-1}$?

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 $...... \ K$.

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

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 $1^{\circ}C$.

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?