Student Login

Home›Chapters›Kinetic Theory of Gases PYQs›Molecular Speeds & Maxwell Distribution›Question 67

MHT CET 2021 (23 Sep, Shift 2) · Molecular Speeds & Maxwell Distribution

Molecular Speeds & Maxwell Distribution question from MHT CET 2021 (23 Sep, Shift 2)

Q67MHT CET 2021 · 23 SEP · SHIFT 2Medium

Molecular Speeds & Maxwell Distribution

Equal volumes of two gases, having their densíties in the ratio of $1 : 16$ exert equal pressures on the walls of two containers. The ratio of their rms speads ( $C_1 : C_2)$ is

Show answer and solution

Answer: (b)

$P = \frac{1}{3}\rho C^2 \Rightarrow C = \sqrt{\frac{3P}{\rho}}$
Same $P$ : $\frac{C_1}{C_2} = \sqrt{\frac{\rho_2}{\rho_1}} = \sqrt{16} = 4$
So the answer is (b) $4 : 1$ .

Report a mistake

More questions on Molecular Speeds & Maxwell Distribution

What is the ratio of the velocity of sound in hydrogen (γ = 7/5) to that in helium (γ =…MHT CET 2021 (21 Sep, Shift 2)
Equal volumes of two gases are kept in different containers having densities in the ratio…MHT CET 2021 (21 Sep, Shift 2)
Consider a sample of oxygen behaving like an ideal gas. At 300 K, the ratio of root mean…JEE Main 2021 (18 Mar, Shift 2)
The root mean square speed of molecules of a given mass of a gas at 27 ° C and 1…JEE Main 2021 (24 Feb, Shift 2)
The root mean square velocity of molecules of a gas is 200 m/s. What will be the root…MHT CET 2020 (19 Oct, Shift 2)
Nitrogen gas is at 300oC temperature. The temperature (in K) at which the rms speed of a…JEE Main 2020 (5 Sep, Shift 2)
Increase in tempertaure of a gas filled in a container would lead to:NEET 2019
A mixture of 2 moles of helium gas (atomic mass = 4 u), and 1 mole of argon gas (atomic…JEE Main 2019 (9 Jan, Shift 1)