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At a given temperature T, gases Ne , Ar, Xe and kr are found to deviate from ideal gas behaviour .This equation of state is given as ,\mathrm{P=\frac{R T}{V-b} \text { al } T \text {. }} Which gas will exhibit sterpest increase in the plot of ?

Option: 1

\mathrm{X_{e}}


Option: 2

\mathrm{Ar}


Option: 3

\mathrm{\mathrm{Kr}}


Option: 4

\mathrm{Ne}


Answers (1)

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Noble gases such as Ne ,Ar ,Xe ,Kr found to deviate from ideal gas behaviour.

Xe gas will exhibit stepest increase in plot of 2 vsP.

Equation of state is given as -

\mathrm{\begin{aligned} P=\frac{R T}{(V-b)} & \Rightarrow P(V-b)=R T \\ & \Rightarrow P V-P b=R T \\ & \Rightarrow \frac{P V}{R T}=1+\frac{P b}{R T} \\ & \Rightarrow z=\frac{P V}{R T} \end{aligned}}

`                                    \mathrm{=1+\frac{P b}{R T} \Rightarrow y=c+m x}

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Pankaj

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