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Question: Answered & Verified by Expert
In the following compressibility factor $(\mathrm{Z})$ vs pressure graph at $300 \mathrm{~K}$, the compressibility of $\mathrm{CH}_{4}$ at pressure $ < 200$ bar deviates from ideal behaviour because
ChemistryStates of MatterKVPYKVPY 2016 (SB/SX)
Options:
  • A The molar volume of $\mathrm{CH}_{4}$ is less than its molar volume in the ideal state
  • B The molar volume of $\mathrm{CH}_{4}$ is same as that in its ideal state
  • C Intermolecular interactions between $\mathrm{CH}_{4}$ molecules decresases
  • D The molar volume of $\mathrm{CH}_{4}$ is more than its molar volume in the ideal state
Solution:
1214 Upvotes Verified Answer
The correct answer is: The molar volume of $\mathrm{CH}_{4}$ is less than its molar volume in the ideal state
$Z=\frac{\left(\mathrm{V}_{\mathrm{M}}\right) \mathrm{r}}{\left(\mathrm{V}_{\mathrm{M}}\right)_{\mathrm{i}}} < 1$ at $\mathrm{p} < 200 \mathrm{bar}$
$\therefore\left(\mathrm{V}_{\mathrm{M}}\right)_{\mathrm{r}} < \left(\mathrm{V}_{\mathrm{M}}\right)_{\mathrm{i}}$

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