Question:
If a gas is compressed isothermally then the r.m.s. velocity of the molecules
If a gas is compressed isothermally then the r.m.s. velocity of the molecules
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The r.m.s. speed depends only on temperature.
Updated On: Oct 1, 2026
- increases
- remains the same
- decreases
- first increases and then decreases
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The Correct Option is B
Solution and Explanation
Step 1: Formula
\(v_{rms} = \sqrt{\frac{3RT}{M}}\).
Step 2: Isothermal
The temperature is constant during isothermal compression, so \(v_{rms}\) does not change. Pressure and density change, but not the speed.
Step 3: Result
The r.m.s. velocity remains the same. Option (B).
Final Answer:
The r.m.s. velocity remains the same. \[ \boxed{\text{(B)}\ \text{remains the same}} \]
\(v_{rms} = \sqrt{\frac{3RT}{M}}\).
Step 2: Isothermal
The temperature is constant during isothermal compression, so \(v_{rms}\) does not change. Pressure and density change, but not the speed.
Step 3: Result
The r.m.s. velocity remains the same. Option (B).
Final Answer:
The r.m.s. velocity remains the same. \[ \boxed{\text{(B)}\ \text{remains the same}} \]
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