One mole of diatomic gas having rotational modes only is kept is a cylinder with a piston system. The cross-section area of the cylinder is 4 cm². The gas is heated slowly to raise the temperature by

Question

One mole of diatomic gas having rotational modes only is kept is a cylinder with a piston system. The cross-section area of the cylinder is 4 cm². The gas is heated slowly to raise the temperature by 1.2 °C during which the piston moves by 25 mm. The amount of heat supplied to the gas is __________

Accepted Answer

Answer: 25 — Q = ΔU + W Q = f/2 nRΔT + PΔV if f = 2 ⇒ Q = nRΔT + PΔV = 1 × 8.3 × 1.2 + 10⁵ × 25 × 10⁻³ × 4 × 10⁻⁴ = 10.96 (No option is matching) if f = 5 ⇒ Q = 2.5nRΔT + PΔV =2.5 × 1 × 8.3 × 1.2 + 10⁵ × 25 × 10⁻³

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