Q7 / 90 · KVPY 2016 (SB/SX) · Chemistry

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 becauseFigure

  • Correct answer
    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

$Z=\frac{\left(\mathrm{V}_{\mathrm{M}}\right) \mathrm{r}}{\left(\mathrm{V}_{\mathrm{M}}\right)_{\mathrm{i}}} < 1$ at $\mathrm{p} < 200 \mathrm{bar}$ $\therefore\left(\mathrm{V}_{\mathrm{M}}\right)_{\mathrm{r}} < \left(\mathrm{V}_{\mathrm{M}}\right)_{\mathrm{i}}$

Hence, the correct answer is option: 'A'.

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