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  • Sf z is a compressibility factor, vander wadr equation at low pressure can be written as -Option: 1 <img alt="\mathrm{z=1+\frac{R T}{pb} }" src=

Sf z is a compressibility factor, vander wadr equation at low pressure can be written as -

Option: 1

\mathrm{z=1+\frac{R T}{pb} }


Option: 2

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


Option: 3

\mathrm{z=1-\frac{\mathrm{Pb}}{\mathrm{RT}} }


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 }
\mathrm{ \Rightarrow P V+\frac{a}{V}=R T \text { or, } P V=R T-\frac{a}{V} 1 }

Divide both sides with RT,
\mathrm{ \frac{P V}{R T}=1-\frac{a}{V R T} \\ }
\mathrm{ z=1-\frac{a}{V R T} }

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chirag

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