JEE Main 2023ChemistryStates of MatterEasyNumerical

JEE Main 2023 — States of Matter Question with Solution

JEE Main 2023 (12 Apr Shift 1)

Question

At 600 K, the root mean square (rms) speed of gas X (molar mass =40) is equal to the most probable speed of gas Y at 90 K. The molar mass of the gas Y is _____ g mol–1. (Nearest integer)

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Show full solutionCorrect answer: 4
Correct answer
4

Step-by-step explanation

The root mean square velocity Vrms=3RTM

The most probable speed Vmp=2RTM

T=Temperature in Kelvin

M=Molar mass

Vrms of XVmp of Y=3TXMY2TYMX

1=3×600×MY2×90×40=MY4

MY=4 gm mol-1

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About this question

This is a previous-year question from JEE Main 2023, covering the States of Matter chapter of Chemistry. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.