Question

At high temperature and low pressure, the Van der Waals equation is reduced to:

• A. $(p+\frac{a}{V_m^2})\left(V_m\right)=RT$
• B. $p{V}_m=RT$
• C. $p{(V}_m-b)=RT$
• D. $(p+\frac{a}{V_m^2})(V_m-b)=RT$

Answer 1

The correct option is B $p{V}_m=RT$

At high temperature and low pressure , Van der Waals equation reduced to ideal gas equation, as the gases at this condition shows ideal nature and minimum deviation.

$[P+\frac{a}{V_m^2}][V_m-b]=RT$ Van der Waals equation

$P{V}_m=RT$ Ideal gas equation

So, the correct option is $B$.