QJEEM22Chc16c: JEE Main 2022 Chemistry - Class 11 JEEM22Chc16c Solution: Which amongst the given plots is the correct plot for pressure…

From ideal gas equation we know,

PV = nRT

$\Rightarrow PV = {W \over M}RT$

$\Rightarrow P = {W \over V}\,.\,{{RT} \over M}$

$\Rightarrow P = d\,.\,{{RT} \over M}$ [ $\because$ $d = {W \over V}$ ]

For a fixed amount of gas at a fixed temperature, M and T is constant.

$\therefore$ $P \propto d$

So graph between pressure (P) and density (d) is a straight line.

Also, ${P \over d} = {{RT} \over M}$

$\Rightarrow {P \over d} \propto T$ [as R, M = constant]

$\therefore$ When temperature T increases then slope of graph between P and d increases.

As T₃ > T₂ > T₁ then slope of T₃ will be highest then T₂ and then T₁.

So, graph (B) is the right graph.