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 $...... \ K$.

Specific heat capacity is defined as:

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

$A$ piece of metal weighing $100 \, g$ is heated to $80^{\circ} C$ and dropped into $1 \, kg$ of cold water in an insulated container at $15^{\circ} C$. If the final temperature of the water in the container is $15.69^{\circ} C$,the specific heat of the metal in $J / g \cdot ^{\circ} C$ is

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 $1^{\circ}C$.

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