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Q.

If $\bar{V}$ is the observed molar volume of real gas and ${\bar{V}}_{id}$ is the molar volume of an ideal gas, then Z is

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a

$\bar{V}$ ${\bar{V}}_{id}$

b

$\frac{\bar{V}}{{\bar{V}}_{id}}$

c

$\frac{\bar{V_{id}}}{{\bar{V}}_{}}$

d

$\frac{\bar{V}}{\bar{V}}$

answer is B.

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Detailed Solution

For ideal gas

$\frac{P \bar{V_{id}}}{RT} = 1 ∴ \bar{V_{id}} = \frac{RT}{P} For real gas, P \bar{V} = RT \frac{P \bar{V}}{RT} = Z \frac{\bar{V}}{\bar{V_{id}}} = Z$

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If V¯ is the observed molar volume of real gas and V¯id is the molar volume of an ideal gas, then Z is