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 \( 4 \, \text{cm}^2 \). The gas is heated slowly to raise the temperature by \( 1.2^\circ \text{C} \) during which the piston moves by \( 25 \, \text{mm} \). The amount of heat supplied to the gas is ______ \( \text{J} \). (Neglect mass of the piston) [Atmospheric pressure = \( 100 \, \text{kPa} \), \( R = 8.3 \, \text{J} \, \text{mol}^{-1} \, \text{K}^{-1} \)]
