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  4. 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:- <img class=img-fluid question-image alt=Question src=https://cdn.tardigrade.in/q/nta/p-wrq6ckhelytbrnev.jpg />

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Q. 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:-
Question

NTA AbhyasNTA Abhyas 2022

Solution:

$P=\frac{n R T}{V}=\frac{m R T}{M V}$
(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 $B$ .