The temperature of an ideal gas is increased from 200 K to 800 K. If r.m.s. speed of gas at 200 K is v₀. Then, r.m.s. speed of the gas at 800 K will be: (a) v₀ (b) 2v₀ (c) 4v₀ (d) v₀/4

Answer: (b). vrms ∝ √(T) v/v₀ = √((800)/(200)) = 2 So the answer is (b) 2v₀.

The temperature of an ideal gas is increased from 200 K to 800 K. If… | JEE Main 2023 (6 Apr, Shift 2)

Q39JEE Main 2023 · 6 APR · SHIFT 2Easy

Molecular Speeds & Maxwell Distribution

The temperature of an ideal gas is increased from $200\text{ K}$ to $800\text{ K}$ . If r.m.s. speed of gas at $200\text{ K}$ is $v_0$ . Then, r.m.s. speed of the gas at $800\text{ K}$ will be:

Show answer and solution

Answer: (b)

$v_{rms} \propto \sqrt{T}$
$\frac{v}{v_0} = \sqrt{\frac{800}{200}} = 2$
So the answer is (b) $2v_0$ .

Report a mistake

More questions on Molecular Speeds & Maxwell Distribution

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)
In a vessel, the ideal gas is at a pressure P. If the mass of all the molecules is halved…MHT CET 2023 (10 May, Shift 2)
The rms speed of oxygen molecule in a vessel at particular temperature is (1 + 5/x)1/2 v…JEE Main 2023 (13 Apr, Shift 1)
If the r. m.s speed of chlorine molecule is 490 m/s at 27, the r. m. s speed of argon…JEE Main 2023 (12 Apr, Shift 1)
The root mean square speed of molecules of nitrogen gas at 27 is approximately: (Given…JEE Main 2023 (11 Apr, Shift 2)
At 300 K, the rms speed of oxygen molecules is √((α+5)/(α)) times to that of its average…JEE Main 2023 (29 Jan, Shift 2)
Given below are two statements: Statement I: The temperature of a gas is -73° C. When the…JEE Main 2023 (24 Jan, Shift 1)

Molecular Speeds & Maxwell Distribution question from JEE Main 2023 (6 Apr, Shift 2)

More questions on Molecular Speeds & Maxwell Distribution