States of Matter and Gaseous StatehardMCQ SINGLE⭐ Must-Do

In the very high-pressure region, the compressibility factor of a real gas varies linearly with presStates of Matter and Gaseous State Chemistry Question

Question

In the very high-pressure region, the compressibility factor $Z$ of a real gas varies linearly with pressure. Which of the following equations correctly represents this variation?

Answer: B

💡 Solution & Explanation

At very high pressures, the volume is small, but pressure is so large that the attraction term $a/V^2$ becomes negligible compared to $P$. The van der Waals equation simplifies to $P(V-b) = RT$, which rearranges to $Z = 1 + Pb/(RT)$.

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