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A diatomic gas having C_P = 7/2R and C_V = 5/2R is heated at constant pressure. The ratio dU : dQ : dW is

Asked in JEE Main 25th Feb 1st Shift 2021 · Heat at constant volume and pressure

Answer: (2) 5 : 7 : 2

Step-by-step solution

At constant pressure dU=nC_V dT, dQ=nC_P dT and dW=dQ-dU=nR dT.

With C_V=5/2 R and C_P=7/2 R:

dU:dQ:dW=5/2 R:7/2 R:R.

Multiplying by 2: 5:7:2.

Why the other options are wrong

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