JEE Main 2023ChemistryStates of MatterMediumMCQ

JEE Main 2023 — States of Matter Question with Solution

JEE Main 2023 (29 Jan Shift 1)

Question

For 1 mol of gas, the plot of pV vs p is shown below. p is the pressure and V is the volume of the gas.

What is the value of compressibility factor at point A?

Choose an option

Show full solutionCorrect option: A
Correct answer
A1-aRTV

Step-by-step explanation

According to Van der Waals equation,

(P + aVm2) (Vm - b) = RT

Where, Vm = molar volume of the gas

R = Universal gas constant

T = Temperature

P = Pressure

At point A 'a' is considerable and 'b' is negligible.

So, (P + aVm2) Vm = RT

PVm + aVm = RT

Compressibility factor (Z) = 1 - aVmRT

Hence, the correct answer is 1 - aRTV

Practice this on the real CBT interface

Solve this JEE Main question (and the rest of the States of Matter chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.

Solve interactively →

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.