Question:
The ratio of the degrees of freedom of monatomic and diatomic gas molecules is:
The ratio of the degrees of freedom of monatomic and diatomic gas molecules is:
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Monatomic gases have only translational motion, while diatomic gases have translational and rotational motion, leading to more degrees of freedom.
Updated On: May 5, 2026
- 5:7
- 3:5
- 3:4
- 5:6
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The Correct Option is B
Solution and Explanation
- For a monatomic gas, molecules can move only in three mutually perpendicular directions.
- Hence, the degrees of freedom for a monatomic gas are: \[ f_1 = 3 \]
- For a diatomic gas (at ordinary temperatures), molecules have:
- 3 translational degrees of freedom
- 2 rotational degrees of freedom
- So total degrees of freedom: \[ f_2 = 5 \]
- Therefore, the ratio of degrees of freedom (monatomic : diatomic) is: \[ \frac{f_1}{f_2} = \frac{3}{5} \]
- Hence, the required ratio is: 3:5
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