Given below are two statements: Statement I: The temperature of a gas… | JEE Main 2023 (24 Jan, Shift 1)

Q47JEE Main 2023 · 24 JAN · SHIFT 1Medium

Molecular Speeds & Maxwell Distribution

Given below are two statements:

Statement I: The temperature of a gas is $-73^\circ$ C. When the gas is heated to $527^\circ$ C, the root mean square speed of the molecules is doubled.

Statement II: The product of pressure and volume of an ideal gas will be equal to translational kinetic energy of the molecules.

In the light of the above statements, choose the correct answer from the options given below:

Show answer and solution

Answer: (a)

Statement I: $T$ goes from 200 K to 800 K, 4 times, so $v_{rms} \propto \sqrt T$ doubles. True.
Statement II: $PV = \frac{2}{3}E_{trans}$ , not $E_{trans}$ . False.
So the answer is (a) Statement I true, Statement II false.

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Molecular Speeds & Maxwell Distribution question from JEE Main 2023 (24 Jan, Shift 1)

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