Student Login

Home›Chapters›Kinetic Theory of Gases PYQs›Molecular Speeds & Maxwell Distribution›Question 33

MHT CET 2023 (14 May, Shift 2) · Molecular Speeds & Maxwell Distribution

Molecular Speeds & Maxwell Distribution question from MHT CET 2023 (14 May, Shift 2)

Q33MHT CET 2023 · 14 MAY · SHIFT 2Easy

Molecular Speeds & Maxwell Distribution

The molecular mass of a gas having r.m.s. speed four times as that of another gas having molecular mass 32 is

Show answer and solution

Answer: (a)

At the same temperature $v_{rms} \propto \frac{1}{\sqrt{M}}$ .
$\frac{v_1}{v_2} = \sqrt{\frac{M_2}{M_1}} \Rightarrow 4 = \sqrt{\frac{32}{M_1}}$
$16 = \frac{32}{M_1} \Rightarrow M_1 = 2$
So the answer is (a) 2.

Report a mistake

More questions on Molecular Speeds & Maxwell Distribution

The temperature of a gas is measure ofMHT CET 2023 (14 May, Shift 2)
If temperature of gas molecules is raised from 127 to 527, the ratio of r.m.s. speed of…MHT CET 2023 (11 May, Shift 2)
The pressure exerted by an ideal gas at a particular temperature is directly proportional…MHT CET 2023 (9 May, Shift 2)
The temperature of an ideal gas is increased from 27 to 927. The r.m.s. speed of its…MHT CET 2023 (9 May, Shift 2)
The temperature of a gas is -50. To what temperature the gas should be heated so that the…NEET 2023
The temperature of an ideal gas is increased from 200 K to 800 K. If r.m.s. speed of gas…JEE Main 2023 (6 Apr, Shift 2)
The root mean square velocity of molecules of gas isJEE Main 2023 (25 Jan, Shift 1)
The temperature of a gas is -68. To what temperature should it be heated, so that the…MHT CET 2023 (14 May, Shift 1)