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IIT-JEE 2009 · Paper 1, Physics question 52

CvC_v and CpC_p denote the molar specific heat capacities of a gas at constant volume and constant pressure, respectively. Then

Choose one or more options
Answer and worked solution

Official answer: B, D

Values. Monoatomic: Cv=32RC_v=\frac32R, Cp=52RC_p=\frac52R. Diatomic: Cv=52RC_v=\frac52R, Cp=72RC_p=\frac72R.

  • Cp−Cv=RC_p-C_v=R for both.
  • Cp+CvC_p+C_v: 4R4R vs 6R6R, larger for diatomic. ✓
  • Cp/CvC_p/C_v: 53\frac53 vs 75\frac75, smaller for diatomic.
  • CpCvC_pC_v: 154R2\frac{15}4R^2 vs 354R2\frac{35}4R^2, larger for diatomic. ✓

(B), (D)

Topics:Specific heats of gases
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