A gas is compressed at a constant pressure of 50 N/m² from a volume of 10 m³ to a volume of 4 m³. Energy of 100 J is then added to the gas by heating. Its internal energy is (a) increased by 400 J (b) increased by 200 J (c) increased by 100 J (d) decreased by 200 J

Answer: (a). Work done by gas W = PΔ V = 50 × (4 - 10) = -300 J (work is done on the gas). First law: Δ U = Q - W = 100 - (-300) = 400 J So the answer is (a) increased by 400 J.

A gas is compressed at a constant pressure of 50 N/m² from a volume… | MHT CET 2023 (9 May, Shift 2)

Q144MHT CET 2023 · 9 MAY · SHIFT 2Medium

Thermodynamic Processes

A gas is compressed at a constant pressure of $50\text{ N/m}^2$ from a volume of $10\text{ m}^3$ to a volume of $4\text{ m}^3$ . Energy of $100\text{ J}$ is then added to the gas by heating. Its internal energy is

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Answer: (a)

Work done by gas $W = P\Delta V = 50 \times (4 - 10) = -300\text{ J}$ (work is done on the gas).
First law: $\Delta U = Q - W = 100 - (-300) = 400\text{ J}$
So the answer is (a) increased by $400\text{ J}$ .

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