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

[JEE Main 2026, 8 Apr (Shift 2)]

Question

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

[JEE Main 2026, 8 Apr (Shift 2)]

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