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 ............... $J \; mol^{-1} \; K^{-1}$

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

Explain Heat Capacity.

$20 \ cal$ of heat is required to increase the temperature of a $15 \ g$ piece of $Al$ metal from $25^{\circ}C$ to $30^{\circ}C$. Calculate the heat capacity,specific heat capacity,and molar heat capacity of the $Al$ piece. (Given: Atomic mass of $Al = 27 \ g \ mol^{-1}$)

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 $1^{\circ}C$.

Calculate the number of $kJ$ of heat necessary to raise the temperature of $60.0 \, g$ of aluminium from $35^{\circ} C$ to $55^{\circ} C$. Molar heat capacity of $Al$ is $24 \, J \, mol^{-1} \, K^{-1}$.