Identify the wrong relation for real gases :

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Question

(A) The wrong relation for real gases is given in option $A$. The compressibility factor $Z$ is defined as the ratio of the molar volume of a real gas

Vedclass · Accepted Answer

$Z = \frac{V_{ideal}}{V_{real}}$

Vedclass · Answer

(A) The wrong relation for real gases is given in option $A$. The compressibility factor $Z$ is defined as the ratio of the molar volume of a real gas to the molar volume of an ideal gas at the same temperature and pressure. Therefore,the correct form is $Z = \frac{V_{real}}{V_{ideal}}$. Option $B$ represents the pressure correction term in the van der Waals equation. Option $C$ represents the volume correction term where $V_{real} = V_{ideal} + nb$ is generally used for the excluded volume correction,but in the context of the van der Waals equation $(p + \frac{an^2}{V^2})(V - nb) = nRT$,the relation $V_{real} = V_{ideal} + nb$ is standard. Option $D$ is the van der Waals equation for $1 	ext{ mole}$ of gas.

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