Which one of the following graphs is not correct for ideal gas?

Question:

Which one of the following graphs is not correct for ideal gas?

$\mathrm{d}=$ Density, $\mathrm{P}=$ Pressure, $\mathrm{T}=$ Temperature

  1. I

  2. II

  3. IV

  4.  III


Correct Option: , 2

Solution:

For ideal gas

$P V=n R T$

$P V=\frac{m}{M} R T \quad\left(\because n=\frac{m}{M}\right)$

$P M=\frac{m}{V} R T ; \quad P M=d R T ; \quad d=\left[\frac{P M}{R}\right] \frac{1}{T}$

$\Rightarrow d \propto \frac{1}{T} ; \quad d \propto P$

So, graph between $d \mathrm{Vs} T$ is not straight line.

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