MHT CET20239 May 2023Evening ShiftPhysicsThermodynamicsActual
A gas is compressed at a constant pressure of 50 ~N / m ^2 from a volume of 10 ~m ^3 to a volume of 4 ~m ^3 . Energy of 100 ~J is then added to the gas by heating. Its internal energy is
Options
- Aincreased by 400 ~J
- Bincreased by 200 ~J
- Cincreased by 100 ~J
- Ddecreased by 200 ~J
Correct answer
A. increased by 400 ~J
Step-by-step solution
From first law of thermodynamics, Q = U + W = U + P V Change in yolume due to compression V = V ₂- V ₁=4-10=-6 ~m ^3 Negatiye sign indicates gas is compressed. U = Q - P V =100-[50 (-6)]=400 ~J As, U is positive, the internal energy is increased.