In an isobaric process, heat is supplied to a monoatomic ideal gas. The fraction of heat that goes into mechanical work is

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In an isobaric process, heat is supplied to a monoatomic ideal gas. The fraction of heat that goes into mechanical work is

PhysicsThermodynamicsNEET

Options:

A $1$
B $\frac{2}{3}$
C $\frac{3}{5}$
D $\frac{2}{5}$

Solution:

2494 Upvotes Verified Answer

The correct answer is:

\frac{2}{5}

$Q_{P} = n C_{P} ∆ T = \frac{5}{2} n R ∆ T W = P ∆ V = n R ∆ T \Rightarrow \frac{W}{Q_{P}} = \frac{n R ∆ T}{\frac{5}{2} n R ∆ T} = \frac{2}{5}$

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