Question

At high pressure, van der Waal's equation for one mole of the gas becomes:

• A. $PV=RT$
• B. $PV=RT+\frac{a}{V}$
• C. $PV=RT-\frac{a}{V}$
• D. $PV=RT+Pb$

Answer 1

The correct option is D $PV=RT+Pb$

$(P+a\frac{n^2}{V^2})(V-nb)=nRT(P+\frac{a}{V^2})(V-b)=RT\text{for 1 mol gas}\text{At high pressure,}(P+\frac{a}{V^2})=P\therefore P(V-b)=RTPV=RT+Pb$