Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main
Exam
JEE Main
Subject
Physics
Chapter
Kinetic Theory of Gases

JEE Main · Physics · Kinetic Theory of Gases

A mixture of two gases is contained in a vessel. The Gas 1 is...

A mixture of two gases is contained in a vessel. The Gas 11 is monoatomic and gas 22 is diatomic and the ratio of their molecular masses M1M2=14\dfrac{M1}{M2} = \dfrac{1}{4}. The ratio of root mean square speeds of the molecules of two gases is

Options

  1. A22
  2. B44
  3. C88
  4. D1616

Correct answer

A. 22

Step-by-step solution

From kinetic theory of gases

P=13MV×Vrms2P = \dfrac{1}{3}\dfrac{M}{V} \times {V}_{rms}^{2}

Since, PP and VV are constant (same)

∴M1Vrms12=M2Vrms22∴ {M}_{1}{V}_{rms1}^{2} = {M}_{2}{V}_{rms2}^{2}

⇒Vrms12Vrms22=M2M1⇒ {V}_{rms1}^{2}{V}_{rms2}^{2} = \dfrac{M2}{M1}

⇒Vrms1Vrms2=M2M1=4/1=2⇒ \dfrac{Vrms1}{Vrms2} = \sqrt{\dfrac{M2}{M1}} = \sqrt{4 / 1} = 2\left[given, \dfrac{M1}{M2} = \dfrac{1}{4}\right]
Practice Kinetic Theory of Gases on Quantrex Academy →

More from Kinetic Theory of Gases

If 2 mole of an ideal monoatomic gas at temperature T , is mixed with 6 mole of another… JEE Main 2026Given below are two statements: one is labelled as Assertion A and the other is labelled… JEE Main 2026Given below are two statements: one is labelled as Assertion A and the other is labelled… JEE Main 2026One gas of n_1 mole of molecules at temperature T_1 , volume V_1 , and pressure P_1 , and… JEE Main 2026A mixture of carbon dioxide and oxygen has volume 8310 cm ^3 , temperature 300 K… JEE Main 2026The mean free path of a molecule of diameter 5 × 10^ -10 ~m at the temperature 41^ ∘ C… JEE Main 2026A gas of certain mass filled in a closed cylinder at a pressure of 3.23 kPa has… JEE Main 2026Consider two boxes containing ideal gases A and B such that their temperatures, pressures… JEE Main 2026 Full Kinetic Theory of Gases list All 99 Percentile Qs Bank for JEE Main PYQs