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← JEE Main 2014 · 19 Apr · Shift 1
PhysicsSingle correct+4 / -1Question 12 of 90

JEE Main 2014 · 19 Apr · Shift 1, Physics question 12

A gas is compressed from a volume of 2 m3^3 to a volume of 1 m3^3 at a constant pressure of 100 N/m2^2. Then it is heated at constant volume by supplying 150 J of energy. As a result, the internal energy of the gas :

Choose one option
Answer and worked solution

Official answer: A

Compression at 100 N/m² through 1 m³: 100 J of work is done on the gas. Heating at constant volume adds 150 J.

The key treats the compression as having no heat exchange, giving ΔU=100+150=250\Delta U=100+150=250 J, an increase of 250 J.

(The question does not actually say whether heat flowed during the compression; for an ideal gas, an isobaric compression releases heat, so the key's reading is the one intended.)