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

Option: 1

A


Option: 2

B


Option: 3

C


Option: 4

D


Answers (1)

best_answer

p=\frac{\mu R T}{V}=\frac{m R T}{M V} \quad\left\{\mu=\frac{m}{M}\right\}

So, at constant volume, the pressure versus temperature graph is a straight line passing through the origin with a slope \frac{m p}{M V}. As the mass is doubled & volume is halved, therefore slope becomes four times.

Therefore,  the pressure versus temperature graph will be shown by line B.

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Sayak

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