1.

If Z is a compressibility factor, Ven der Waals equation at low pressure can be written as :

Answer»

`Z=1-(PB)/(RT)`
`Z=1+(Pb)/(RT)`
`Z=1+(RT)/(Pb)`
`Z=1-(a)/(VRT)`

Solution :Compressive fasctor `(Z)=(PV)/(RT)`
(1 mole REAL GAS)
van der Waal.s equation
`(P+(a)/(V^(2))) (V-b)=RT`
At lower pressure `V-b ~~V`
`(P+(a)/(V^(2)))V=RT`
`therefore PV+(a)/(V)=RT`
`therefore PV=RT-(a)/(V)`
`therefore (PV)/(RT)=1-(a)/(VRT) ""` (`because` Dividing by RT on both side)
`therefore Z=1-(a)/(VRT)`


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