Question

For non-zero value of force of attraction between gas molecules, gas equation will be :

• A. $PV=nRT-\frac{n^{2}a}{V}$
• B. $PV-nRT+nbP$
• C. $P-\frac{nRT}{V-b}$
• D. $PV-nRT$

Answer 1

The correct option is A $PV=nRT-\frac{n^{2}a}{V}$

For n mole of a real gas, van der Waal's equal is
$(P+\frac{n^{2}a}{V^2})(V-nb)=nRT$
When $\frac{n^{2}a}{V^2}\ne 0$
$(P+\frac{n^{2}a}{V^2})V=nRT$
$PV+\frac{n^{2}a}{V}=nRT$
$PV=nRT-\frac{n^{2}a}{V}$