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At a given temperature T, gases Ne, Ar, ...

At a given temperature T, gases Ne, Ar, Xe and Kr are found to deviate from ideal gas behavior.
Their equation of state is given as `P = (RT)/(V-b)` at T. Here, b is the van der Waals constant. Which gas will exhibit steepest increase in the plot of Z (compression factor) vs P?

A

Xe

B

Ar

C

Kr

D

Ne

Text Solution

Verified by Experts

The correct Answer is:
A
`Z = 1+(Pb)/(RT)`
At constant T , slope of Z vs . P graph `prop `b
Xe has the maximum radius , maximum b and hence its graph will be steepest .
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