What is the ratio of molar heat capacities gamma = C_p / C_v for an ideal diatomic gas at room temperature?
Answer and explanation
Correct answer: C. 1.40 or 7/5
- Step 1: For a rigid diatomic molecule with 5 degrees of freedom (3 translational + 2 rotational), C_v = (5/2) R. Step 2. C_p = (7/2) R, so gamma = 7/5 = 1.40. Answer: 1.40 or 7/5. Why not the others: 1.67 is for monoatomic gas; 1.33 is for polyatomic gas; 2.00 is non-physical.
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