The value of γ of triatomic gas (linear arrangement) molecules is:
Correct answer: D. 9/7
- A. 5/3
- B. 8/6
- C. 7/5
- D. 9/7
Explanation
The value of γ (gamma) for a gas is derived from the formula γ=1+2/f, where f is the number of degrees of freedom. For a linear triatomic molecule, there are 7 degrees of freedom (3 translational, 2 rotational, and 2 vibrational). Therefore, γ=1+2/7=9/7, making Option D correct. Other options such as 5/3, 8/6, and 7/5 represent γ values for gases with different degrees of freedom arrangements and do not apply to a linear triatomic gas.
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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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