The expansion of an ideal gas of mass m at a constant pressure P is given by the straight line (D) Then the expansion of the same ideal gas of mass 2m at a pressure P/2 is given by the straight line

 

$PV\infty MT$$\Rightarrow$$\frac{V}{T}\propto \frac{M}{P}$

Here (M/P) represents the slope of curve drawn on vol­ume and temperature axis.

For the first condition slope (M/P) graph is D (given in the problem) For the second condition slope

$\frac{2M}{P/2}=4\left(\frac{M}{P}\right)$

i.e., slope becomes four times so graph A is correct in this condition