Six moles of oxygen gas is heated from 20° C to 35° C at constant volume. If specific heat capacity at constant pressure is 8 cal mol ⁻¹ k ⁻¹ and gas constant is 2 cal mol ⁻¹ k ⁻¹. The change in internal energy of the gas is (a) 180 cal (b) 300 cal (c) 360 cal (d) 540 cal

Answer: (d). Cv = Cp - R = 8 - 2 = 6 cal mol⁻¹K⁻¹ Δ U = nCvΔ T = 6 × 6 × 15 Δ U = 540 cal, so the answer is (d).

Six moles of oxygen gas is heated from 20° C to 35° C at constant… | MHT CET 2026 (13 May, Shift 1)

Q19MHT CET 2026 · 13 MAY · SHIFT 1Medium

Thermodynamic Processes

Six moles of oxygen gas is heated from $20^\circ$ C to $35^\circ$ C at constant volume. If specific heat capacity at constant pressure is $8$ cal mol $^{-1}$ k $^{-1}$ and gas constant is $2$ cal mol $^{-1}$ k $^{-1}$ . The change in internal energy of the gas is

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Answer: (d)

$C_v = C_p - R = 8 - 2 = 6\text{ cal mol}^{-1}\text{K}^{-1}$
$\Delta U = nC_v\Delta T = 6 \times 6 \times 15$
$\Delta U = 540$ cal, so the answer is (d).

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