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For the non-zero value of the force of a...

For the non-zero value of the force of attraction between gas molecules, gas equation will be

A

`PV = nRT - (n^(2)a)/(V)`

B

`PV = nRT +nbP`

C

`PV = nRT`

D

`P = (nRT)/(V -b)`

Text Solution

Verified by Experts

The correct Answer is:
A
`(P) (V -nb) = nRT`
`P = (nRT)/(V -nb)`
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van der Waal's equation for calculating the pressure of a non ideal gas is (P+(an^(2))/(V^(2)))(V-nb)=nRT van der Waal's suggested that the pressure exerted by an ideal gas , P_("ideal") , is related to the experiventally measured pressure, P_("ideal") by the equation P_("ideal")=underset("observed pressure")(underset(uarr)(P_("real")))+underset("currection term")(underset(uarr)((an^(2))/(V^(2)))) Constant 'a' is measure of intermolecular interaction between gaseous molecules that gives rise to nonideal behavior. It depends upon how frequently any two molecules approach each other closely. Another correction concerns the volume occupied by the gas molecules. In the ideal gas equation, V represents the volume of the container. However, each molecule does occupy a finite, although small, intrinsic volume, so the effective volume of the gas vecomes (V-nb), where n is the number of moles of the gas and b is a constant. The term nb represents the volume occupied by gas particles present in n moles of the gas . Having taken into account the corrections for pressure and volume, we can rewrite the ideal gas equation as follows : underset("corrected pressure")((P+(an^(2))/(V^(2))))underset("corrected volume")((V-nb))=nRT For non-zero value of force of attraction between gas moleculer at large volume, gas equation will be :

For a non-zero value of force of attraction between the gas molecules and zero volume occupied by the gas molecules, give a modified expression of van der Waals' equation.

The force of attraction between molecules of different substances is

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