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Q.
At a constant pressure, of the following graphs the one which represents the variation of the density of an ideal gas with the absolute temperature $T$, is
Kinetic Theory
Solution:
$P V=n R T$
$P V=\frac{m}{M} R T$ or
$P=\left(\frac{m}{V}\right) \frac{R T}{M}$
$ \Rightarrow P=d\left(\frac{R T}{M}\right)$
$m=$ total mass of the ideal gas present
At constant pressure for an ideal gas,
$d \cdot T=$ constant, hence its graph is rectangular hyperbola as shown in (a).