Vander Waal’s equation for a gas is stated as p=nRTV−nb−a(nV)2The equation reduced to the perfect gas equation, p=nRTV when,

(P+av2)v=RT pv+avv2=RT pv+av=RT pv=RT−av Divide with RT PVRT=RTRT−aRTV Z=1−aRTV

Vander Waal’s equation for a gas is stated as p=nRTV−nb−a(nV)2The equation reduced to the perfect gas equation, p=nRTV when,

(P+av2)v=RT pv+avv2=RT pv+av=RT pv=RT−av Divide with RT PVRT=RTRT−aRTV Z=1−aRTV

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Vander Waal’s equation for a gas is stated as
$p = \frac{n R T}{V - n b} - a {(\frac{n}{V})}^{2}$
The equation reduced to the perfect gas equation, $p = \frac{n R T}{V}$ when,

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Temperature is sufficiently high, and pressure is low.

Both temperature, and pressure are very low.

Temperature is sufficiently low, and pressure is high.

Both temperature, and pressure are very high.

answer is A.

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$(P + \frac{a}{v^{2}}) v = R T p v + \frac{a v}{v^{2}} = R T p v + \frac{a}{v} = R T p v = R T - \frac{a}{v} D i v i d e w i t h R T \frac{P V}{R T} = \frac{R T}{R T} - \frac{a}{R T V} Z = 1 - \frac{a}{R T V}$

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Vander Waal’s equation for a gas is stated as p=nRTV−nb−a(nV)2The equation reduced to the perfect gas equation, p=nRTV when,

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Vander Waal’s equation for a gas is stated as
$p = \frac{n R T}{V - n b} - a {(\frac{n}{V})}^{2}$
The equation reduced to the perfect gas equation, $p = \frac{n R T}{V}$ when,