MCQ
A diatomic gas, having $C_{p}=\frac{7}{2} R$ and $C _{ v }=\frac{5}{2} R ,$ is heated at constant pressure. The ratio $dU : dQ : dW :$
- A$5: 7: 3$
- ✓$5: 7: 2$
- C$3: 7: 2$
- D$3: 5: 2$
✓
Answer
Correct option: B.
$5: 7: 2$
b
$d U = n C _{ v } dT$
$d U = n C _{ v } dT$
$dQ = nC _{ p } dT$
$dW = PdV = nRdT$ (isobaric process)
$d U : dQ : dW : C _{ v }: C _{ p }: R$
$=\frac{5 R }{2}: \frac{7 R }{2} \cdot R =5: 7: 2$
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