MHT CET · Physics · Kinetic Theory of Gases
A perfect gas of volume 5 litre is compressed isothermally to volume of 1 litre. The r.m.s. speed of the molecules will
- A increase by 10 times
- B decrease by 10 times
- C increase by 5 times
- D remain unchanged
Answer & Solution
Correct Answer
(D) remain unchanged
Step-by-step Solution
Detailed explanation
As the gas is compressed isothermally, the temperature remains constant. The rms speed is given by,
\(\mathrm{v}_{\mathrm{rms}}=\sqrt{\frac{3 \mathrm{RT}}{\mathrm{M}}}\)
\(\therefore \quad\) The rms speed remains unchanged.
\(\mathrm{v}_{\mathrm{rms}}=\sqrt{\frac{3 \mathrm{RT}}{\mathrm{M}}}\)
\(\therefore \quad\) The rms speed remains unchanged.
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