States of Matter - Result Question 15

15. The given graph represent the variations of $Z$ (compressibility factor $(Z)=\frac{p V}{n R T}$ ) versus $p$, for three real gases $A, B$ and $C$. Identify the only incorrect statement.

(2006, 5M)

<img src=“https://imagedelivery.net/YfdZ0yYuJi8R0IouXWrMsA/cc4c9b45-cfb3-4efe-37b6-6d1b50052a00/public"width="350">

(a) For the gas $A, a=0$ and its dependence on $p$ is linear at all pressure

(b) For the gas $B, b=0$ and its dependence on $p$ is linear at all pressure

(c) For the gas $C$, which is typical real gas for which neither $a$ nor $b=0$. By knowing the minima and the point of intersection, with $Z=1, a$ and $b$ can be calculated

(d) At high pressure, the slope is positive for all real gases

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Answer:

Correct Answer: 15. (b)

Solution:

Option (b) is incorrect statement because at high pressure slope of the line will change from negative to positive.