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MHT CET202520 Apr 2025Evening ShiftPhysicsKinetic Theory of GasesActual

If a gas is compressed isothermally then the r.m.s. velocity of its molecules

Options

  1. Aincreases.
  2. Bdecreases.
  3. Cremains the same.
  4. Dfirst increases and then decreases.

Correct answer

C. remains the same.

Step-by-step solution

The root-mean-square velocity of gas molecules is given by v_ rms = 3RT M , where R is the ideal gas constant, T is absolute temperature, and M is molar mass. During isothermal compression, temperature T remains constant. Since v_ rms T , the r.m.s. velocity is unaffected by changes in pressure or volume and remains unchanged. Final answer: C

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