Question

Using Van der Waals equation [P+aV2](Vâˆ’b)=RT, the term that accounts for effective volume in the Van der Waals equation for non-ideal gas is :

A
RT
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B
Vb
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C
[P+aV2]
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D
RT1
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Solution

The correct option is B V−bIn the ideal equation, PiVi=nRT,Vi represents the ideal volume where the molecules can move freely.In real gases, a part of the total volume is occupied by the gas molecules. Hence the free volume Vi is the total volume V minus the volume occupied by the gas molecules.i.e. the real volume of gas= Actual volume of the container- volume occupied by N molecules in motion.Vi=V−b for one mole of gasVi=V−nb for n mole of gasWhere b is termed the 'excluded volume' or 'co-volume'. It is constant and characteristic for each gas.Hence, option B is correct.

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