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The value of γ = Cp / Cv for hydrogen, helium and another ideal diatomic gas X (whose molecules are not rigid but have an additional vibrational mode), are respectively equal to:

1. 7 / 5, 7 / 5, 7 / 3
2. 5 / 3, 7 / 5, 7 / 3
3. 5 / 7, 9 / 7, 3 / 5
4. 7 / 5, 7 / 7, 7 / 3

Correct answer: 5 / 3, 7 / 5, 7 / 3

Solution

For hydrogen (diatomic gas without vibrational modes), γ = 7/5. For helium (monatomic gas), γ = 5/3. For the diatomic gas X with an additional vibrational mode, γ = 7/3 due to the increased degrees of freedom.

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