States of Matter — Chemistry STD 11 Science — Question
Maharashtra BoardEnglish MediumSTD 11 ScienceChemistryStates of Matter3 Marks
Question
Show that the compressibility factor can be represented as $Z =\frac{V_{\text {real }}}{V_{\text {ideal }}}$
✓
Answer
For real gas, $Z =\frac{ PV _{\text {teal }}}{ nRT }$For ideal gas, $1=\frac{P V_{\text {ideal }}}{n R T}$$\therefore \quad \frac{ P }{ nRT }= V _{\text {ideal }}$ Substituting the value of $\frac{P}{n R T}$ in equation (1), we get $Z =\frac{ V _{\text {rsal }}}{ V _{\text {ideal }}} \quad \text {}$ Thus, the compressibility factor $(Z)$ is the ratio of actual molar volume of a gas to its molar volume if it behaved ideally, at that temperature and pressure.
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