1.

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

Answer»

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

Solution :Compressibility FACTOR ( Z ) = `( PV)/( RT)`
For one mole of a REAL gas van DER Waals EQUATION
`( P + ( a)/( V^(2))) ( V - b) = RT`
At LOW pressure
`V -b = V ` ( b can be neglected )
`( P + ( a)/( V^(2))) V = RT `
`pV + ( a)/( V ) = RT `
`pV = RT - ( a)/( V )`
`( pV)/( RT) = 1- ( a)/( VRT)`
`:. Z = 1- ( a)/( VRT)`


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