Pressure versus temperature graph of an ideal gas at constant volume V is shown by the straight line A. Now mass of the has is doubled and the volume is halved, then the corresponding pressure versus temperature graph will be shown by the line

Options

A. A
B. B
C. C
D. None of these

Answer

B

Explanation

`P=(nRT)/V=(mRT)/(MV)`
(where `n =m/M=` number of moles)
So at constant volume pressure versus temperature graph is a straight line passing through origin with slop mR/MV. As the mass is doubled and volume is halved, slope becomes four times. Therefore, pressure versus temperature graph will be shown by the line B.