Figure displays the plot of the compression factor Z verses…

Chemistry Gaseous State ( Not In Syllabus ) JEE Advanced Previous Years Question Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 14, 2026

Figure displays the plot of the compression factor Z verses p for a few gases

Which of the following statements is/are correct for a van-der waals gas :

The plot I is applicable provided the vander waals constant a is negligible.

The plot II is applicable provided the vander waals constant b is negligible.

The plot III is applicable provided the vander waals constants a and b are negligible.

The plot IV is applicable provided the temperature of the gas is much higher than its critical temperature.

Text Solution

Verified by Experts

The correct answer is:

(a,b,c)The vander waals equation of state is : (for 1 mole of gas)

(V m – b) = RT

When a is negligible, then

Z = = 1 + P

that is Z increases with increaser in p.

when b is negligible, then

Z = = 1 –

increasing p implies decrease in V, which is turn, implies increase in the value of a/VRT and hence decrease in the value of Z.

The curve IV is applicable provided temperature of the gas is near but larger than it’s critical temperature Hence, the choice , and are correct.

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