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

Question

If Z is a compressibility factor, van der Waals equation at low pressure can be written as (A) Z=1+(RT/pb) (B) Z=1-(a/VRT) (C) Z=1-(Pb/RT) (D) Z=1+(Pb/RT)

Tardigrade Admin · Accepted Answer

Compressibility factor ( Z )=( PV / RT ) (For one mole of real gas) van der Waal equation ( P +( a / V 2))( V - b )= RT At low pressure V - b ≈ V ( P +( a / V 2)) V = RT PV +( a / V )= RT PV = RT -( a / V ) ( PV / RT )=1-( a / VRT ) So, Z=1-(a/VRT)

Q. If Z is a compressibility factor, van der Waals equation at low pressure can be written as

$Z = 1 + \frac{RT}{p b}$

$Z = 1 - \frac{a}{V RT}$

$Z = 1 - \frac{P b}{RT}$

$Z = 1 + \frac{P b}{RT}$

Q. If Z is a compressibility factor, van der Waals equation at low pressure can be written as

Z=1+pbRT​

Z=1−VRTa​

Z=1−RTPb​

Z=1+RTPb​

Compressibility factor (Z)=RTPV​ (For one mole of real gas) van der Waal equation (P+V2a​)(V−b)=RT At low pressure V−b≈V (P+V2a​)V=RT PV+Va​=RT PV=RT−Va​ RTPV​=1−VRTa​ So, Z=1−VRTa​

$Z = 1 + \frac{RT}{p b}$

$Z = 1 - \frac{a}{V RT}$

$Z = 1 - \frac{P b}{RT}$

$Z = 1 + \frac{P b}{RT}$