First slide

Different type of processes

Question

A certain quantity of heat energy is given to a diatomic ideal gas which expands at constant pressure. The fraction of the heat energy that is converted into work is:

Easy

A

2/3
B

2/7
C

1/5
D

1/7

Solution

$\frac{W}{Q} = \frac{W}{W + ∆ U} = \frac{nR ∆ T}{nR ∆ T + {nC}_{V} ∆ T} = \frac{nR ∆ T}{nR ∆ T + {nC}_{V} ∆ T} = \frac{nR ∆ T}{nR ∆ T + n (\frac{5}{2} R) ∆ T} = \frac{2}{7}$

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