Plz someone answer my question..

Z = 1 - a/VRT

Explanation:

Note :

Compressibility Factor, Z = PV / RT

Vander waal forces at Lower pressure is represented by the expression :

V[P + a/V²] = RT

Aim is to move PV /RT =Z to one side of the equation.

Using change of subject :

opening the bracket :

PV + aV / V² = RT

PV + a/V = RT

Divide through by RT

PV/RT + a/VRT = RT/RT

PV/RT + a/VRT = 1

Recall:

PV /RT = Z

equation becomes :

Z + a/VRT = 1

Subtract a/VRT from both sides

Z + a/VRT - a/VRT = 1 - a/VRT

Z = 1 - a/VRT