For mono-atomic gas, Cv=3R/2, therefore γ for this gas is:
Correct answer: B. 5/3
- A. 3/2
- B. 5/3
- C. 3/5
- D. 3/4
Explanation
The correct answer is B: γ = 5/3. For a monoatomic gas, the specific heat capacity at constant volume (Cv) is 3R/2, and at constant pressure (Cp) is 5R/2. The heat capacity ratio γ is calculated as γ = Cp / Cv = (5R/2) / (3R/2) = 5/3. This is characteristic of monoatomic gases such as helium, neon, and argon. Options A, C, and D provide incorrect ratios for a monoatomic gas, as they do not reflect the correct relationship between Cp and Cv for these gases.
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About Molar Specific Heat of a Gas
Molar specific heat is the heat required to raise the temperature of one mole of a gas by one kelvin, expressed through Q = nCΔT. Questions compare the constant volume value Cv with the constant pressure value Cp, apply the ideal gas relation Cp − Cv = R, and identify how the thermodynamic process affects heat capacity.
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