Question

Match gases under specific conditions listed in Column I with their properties/laws in Column II. Indicate your answer with the appropriate bubbles of the $4\times 4$ matrix given in the ORS.

Answer 1

Sol: $A\to 1,4$, $B\to 3$, $C\to 1,2$, $D\to 1,4$,

a. $Z=\frac{P{V}_m}{RT}$ at high pressure and low temperature.

van Der Waals Equation $(P+\frac{a{n}^2}{V^2})(V-nb)=nRT$

At high pressure, $\frac{a{n}^2}{V^2}$-factor is negligible.

So, the equation reduces to $P(V-nb)=nRT$

b. For hydrogen gas value of Z = 1 at P = 0 and it increases continuously on increasing pressure.

c. $C{O}_2$ molecules have larger attractive forces, under normal conditions. So the compressibility factor, $Z\ne 1$

d. $Z=\frac{P{V}_m}{RT}$, at very large volume $Z$ is not equal to 1