Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
MHT CET202616 April 2026Evening ShiftPhysicsKinetic Theory of GasesActual

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

Options

  1. Aincreases
  2. Bremains the same
  3. Cdecreases
  4. Dfirst increases and then decreases

Correct answer

B. remains the same

Step-by-step solution

The root mean square (r.m.s.) velocity of gas molecules is given by the formula v_ rms = 3RT M , where R is the universal gas constant, T is the absolute temperature, and M is the molar mass of the gas. In an isothermal process, the temperature T of the gas remains constant. Since v_ rms depends only on the absolute temperature for a given gas, it remains the same during isothermal compression. Answer: remains the same

Practice Kinetic Theory of Gases on Quantrex Academy →

More from Kinetic Theory of Gases

A vessel of volume 27 10^4 cc, contains a mixture of Hydrogen (molar mass = 2 g mol⁻¹ ) and oxygen (molar mass = 32 g mol⁻¹ ) gas at standard temperature and pressure. If the mass 2026Find the mass of oxygen gas with which 1.882 10²³ degrees of freedom are associated at N.T.P. Given: Molar mass of diatomic gas, oxygen is 32 g mol⁻¹ and oxygen molecule possess th 2026An ideal gas has molar specific heat 5R 2 at constant pressure. If 1662 J of heat brings about 50 K temperature change, the number of moles of gas is 2026A jar is filled with two monoatomic non-interacting gases A and B with total masses M_A and M_B , respectively. The molar mass of A is double the molar mass of B . If the jar is ke 2026The graph of pressure P and volume V of 1 mole of an ideal gas at constant temperature is 2026Gas at pressure P, temperature T, and volume V is filled in jar A. Another jar B is filled with gas having parameters 2P , V 4 , 2T . The ratio of number of molecules of jar B to t 2026An ideal gas ( = 1.5 ) is expanded adiabatically. To reduce the root mean square velocity of molecules two times, the gas should be expanded 2026Assuming the expression for the pressure exerted by the gas, it can be shown that pressure is 2026 Full Kinetic Theory of Gases list All MHT CET PYQs