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  • Sf z a compressibility factor,vander waals equation at low pressure can be written as ______Option: 1 <img alt="\mathrm{z=1+\frac{R T}{p b}}" sr

Sf z a compressibility factor,vander waals equation at low pressure can be written as ______

Option: 1

\mathrm{z=1+\frac{R T}{p b}}


Option: 2

\mathrm{z=1-\frac{a}{V R T}}


Option: 3

\mathrm{z=1-\frac{P b}{R T}}


Option: 4

None


Answers (1)

best_answer

According to Vander waals equation ,

\mathrm{\left(P+\frac{a}{V^2}\right)(v-b)=R T}

At low pressure, \mathrm{\left(P+\frac{a}{V^2}\right) V=R T}

Divide both side with RT,

\mathrm{\begin{aligned} \frac{P V}{R T} & =1-\frac{a}{V R T} \\ z & =1-\frac{a}{V R T} \end{aligned}}

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Gunjita

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