JEE Mains · Physics · STD 11 - 11. thermodynamics
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 \(5: 7: 3\)
- B \(5: 7: 2\)
- C \(3: 7: 2\)
- D \(3: 5: 2\)
Answer & Solution
Correct Answer
(B) \(5: 7: 2\)
Step-by-step Solution
Detailed explanation
\(d U = n C _{ v } dT\) \(dQ = nC _{ p } dT\) \(dW = PdV = nRdT\) (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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