Question

The virial equation for $1$ mole of a real gas is written as :
$PV=RT$
$1+\frac{A}{V}+\frac{B}{V^2}+\frac{C}{V^3}+.......$ to higher power of $n$
Where $A,B$ and $C$ are known as virial coefficient. If vander waal's equation is written in virial form,then what will be the value of $B$?

• A. $a-\frac{b}{RT}$
• B. $b^3$
• C. $b-\frac{b}{RT}$
• D. $b^2$

Answer 1

The correct option is A $a-\frac{b}{RT}$

Van der waal's equation is $(P+\frac{a{n}^2}{V^2})(V-nb)=nRT$

Relating this equation with virial's equation,

we get $B=a-\frac{b}{RT}$