Home
Class 12
CHEMISTRY
At a particular temperature and pressure...

At a particular temperature and pressure for a real gas Van der Waal's equation can be written as:
`(P + a/(V^(2)m)) (V_(m) -b) =RT`

where Vm is molar volume of gas. This is cubic equation in the variable Vm and therefore for any single value of P & T there should be 3 values of Vm. Which are shown in graph as Q, M and L.
As temperature is made to increase at a certain higher temperature the three values of Vm becomes identical. The temperature, pressure & molar volume at point X are called Tc, Pc & Vc for real gas. The compressibility factor in terms of Pc, Vc and T is called Zc.
The expression of Van dcr Waal's constant 'a' can be given as

A

`(27RT_(c))/(16 P_(c ))`

B

`(27(RT_( c))^(2))/(64 P_( c))`

C

`(64(RT_(c ))^(2))/(Pc)`

D

`(27P_( c))/(RTc)^(2)`

Text Solution

Verified by Experts

Promotional Banner

Similar Questions

Explore conceptually related problems

At high temperature and low pressure van der Waal's equation becomes

The van der Waal equation of gas is (P + (n^(2)a)/(V^(2))) (V - nb) = nRT

If temperature and volume are same, the pressure of a gas obeying van der Waal's equation is :

A gas described by van der Waals equation

A gas described by van der Waals equation

At low pressures, the van der Waals equation is written as [P+(a)/(V^(2))]V=RT The compressibility factor is then equal to

A real gas obeying van der Waal equation will resemble ideal gas if the

An ideal gas equation can be written as P = rho R T/ M_0 where rho and M are resp.

In van der Waal's equations (P+a/(V^(2)))(V-b)=RT , what are the dimensions of the constants a and b?