Question

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

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

Answer 1

Answer: (B)

$P=\frac{nRT}{V}=\frac{mRT}{MV}$
(where $n=\frac{m}{M}=$ 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 $B$ .