One mole of diatomic gas having rotational modes only is kept in a cylinder with a piston system. The cross-section area of the cylinder is 4 cm^2.…

One mole of diatomic gas having rotational modes only is kept in a cylinder with a piston system. The cross-section area of the cylinder is $\displaystyle 4 \mathrm{~cm}^2$. The gas is heated slowly to raise the temperature by $\displaystyle 1.2$ °C during which the piston moves by $\displaystyle 25$ mm. The amount of heat supplied to the gas is $\displaystyle \_\_\_\_$J. (Atmospheric pressure $\displaystyle =100 \mathrm{kPa}, R=8.3 \mathrm{~J} / \mathrm{mol}$. K) (Neglect mass of the piston)