Find the second virial coefficient for the Dieterici equatio

Find the second virial coefficient for the Dieterici equation of state

p = RT/V-b exp (-a/RTV)

Solution

where a is associated with the interaction between molecules and b takes into account the finite size of the molecules, similarly to the Van der Waals equation.

the viral coefficient are

T_c= a/(4Rb)

P_c= a/(4c²b²)

V_c=2b