Chemistry - Ideal Gas Question with Solution | TestHub

ChemistryIdeal GasProblems related with container/piston/SPMMedium2 minQB
ChemistryMediumsingle choice
Passage / Comprehension

A tube of U-shape partly filled by mercury is taken as shown in the figure. The cross-section area of closed arm is A cm2 and that of open arm is 2A cm2. A pin hole is now made at the top of the closed arm by which leakage of gas starts. The leak rate -dP/dt is directly proportional to the pressure of remaining gas inside the tube, over mercury. The proportionality constant is K s-1.

figure

What will be the decrease in level of mercury in the open arm at any time, t?

Options:

Answer:
A
Solution:

The open arm falls by y = x/2 where x = 76(1 - e-kt) cm. Hence y = 38(1 - e-kt) cm. Hence Ans (a).

Stream:JEESubject:ChemistryTopic:Ideal GasSubtopic:Problems related with container/piston/SPM
⏱ 2mℹ️ Source: QB

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