States of Matter - Result Question 30

####30. A gas at $350 K$ and 15 bar has molar volume 20 percent smaller than that for an ideal gas under the same conditions. The correct option about the gas and its compressibility factor $(Z)$ is:

[2019]

(a) $Z>1$ and attractive forces are dominant

(b) $Z>1$ and repulsive forces are dominant (c) $Z<1$ and attractive forces are dominant

(d) $Z<1$ and repulsive forces are dominant

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Solution:

(c) Compressibility factor, $Z=\frac{PV}{nRT}$

Given: At $350 K$ and 15 bar, molar volume $<$ volume of ideal gas

$\therefore Z<1$

Therefore, attractive forces are dominant and the gas can be compressed easily.



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