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AP EAMCET · PHYSICS · Kinetic Theory of Gases

The molar specific heat capacity of a diatomic gas at constant pressure is C . The molar specific heat capacity of a monoatomic gas at constant volume is

  1. A \(\frac{2 \mathrm{C}}{7}\)
  2. B \(\frac{3 \mathrm{C}}{7}\)
  3. C \(\frac{\mathrm{C}}{7}\)
  4. D \(\frac{4 \mathrm{C}}{7}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\frac{3 \mathrm{C}}{7}\)

Step-by-step Solution

Detailed explanation

For diatomic gas, \(\mathrm{f}_1=5\) \(C_{v_1}=\frac{f_1 R}{2}=\frac{5 R}{2}\) \(C_{p_1}=C_v+R=\frac{5 R}{2}+R \frac{7 R}{2}=C\) For monoatomic gas, \(\mathrm{f}_2=3\) \(C_{v_2}=\frac{f_2 R}{2}=\frac{3 R}{2}\) Now,…