Question

In the process $PV=$ constant, pressure $\left(P\right)$ versus density $\left(\rho \right)$, graph of an ideal gas is:

• A. a straight line parallel to $P-$ axis
• B. a straight line parallel to $\rho -$ axis
• C. an inclined straight line passing through the origin
• D. a parabola

Answer 1

The correct option is C an inclined straight line passing through the origin

We know, for ideal gas
$PV=nRT$
If $PV=$ constant
$\Rightarrow T=$ constant
Also,
$PM=\rho RT$
Where,
$M=$ molar mass

$\Rightarrow \rho \propto P$ for $T=$ constant
Hence,
$P-\rho$ graph is a straight line passing through the origin.