QJEEM19Ch6450: JEE Main 2019 Chemistry - Class 11 JEEM19Ch6450 Solution: At a given temperature T, gases Ne, Ar, Xe and Kr are found to…

Given $$p=\frac{RT}{V-b}$$

$$\Rightarrow$$ $$p\left(V-b\right)=RT$$

$$\Rightarrow$$ $$\frac{pV}{RT}=\frac{pb}{RT}+\frac{RT}{RT}$$

$$\Rightarrow$$ Z = $$\frac{b}{RT}p+1$$

$$\therefore$$ Slope of Z vs p curve (straight line) = $$\frac{b}{RT}$$

$$\therefore$$ Higher the value of b, more steep will be the curve.

As we know, b = 4vN_A = $$4\times \frac{4}{3}\pi r^3\times N_A$$

$$\therefore$$ b $$\propto$$ size of gas molecules

Among Ne, Ar, Xe and Kr, size of Xe is the most as down the group in the periodic table size increases.