Question

Match the Column-I with Column-II for van der Waals' equation.

Answer 1

$A.$ High pressure, $(P+a\frac{n^2}{V^2})(V-nb)=nRT$

Let $n=1$.

High pressure $⟹(P+a\frac{n^2}{V^2})$ tends to $P.$

$P(V-b)=RTPV=RT+Pb$

$B.$ Low pressure,

Now the term $\frac{a{n}^2}{V^2}$ is of importance.

$(P+\frac{a}{V^2})(V-b)=RT$ Putting $n=1$

$C.$ Force of attraction is negligible,

$⟹$ Volume of gas becomes high.

$(V-nb)$ tends to $V.$

$(P+\frac{a}{V^2})\left(V\right)=RT$ Putting $n=1$

$PV=RT-\frac{a}{V}$

$D.$ Volume of molecules is negligible,

Now, the term $V-nb$ is of importance.

$(P+\frac{a}{V^2})(V-b)=RT$ Putting $n=1$