Chemistry - Ideal Gas Question with Solution | TestHub
ChemistryIdeal GasProblems related with container/piston/SPMEasy2 minQB
ChemistryEasysingle choice
Passage / Comprehension
A gas leaks from a container such that the rate of pressure drop, -dP/dt, obeys -dP/dt = k(P - Pₑₓₜ), where Pₑₓₜ is the constant outside pressure. An ideal gas is filled in a rigid cylinder of 5 l capacity at 39 atm and 300 K. The leak constant is k = 10⁻³ s⁻¹ and the outside pressure stays at 1 atm. (ln 38 = 3.6, ln 2 = 0.7)
What is the pressure of the gas in the cylinder after 1 h?
Options:
Answer:
B
Solution:
Integrating the leak law, P - 1 = (39 - 1)e-kt = 38e-0.001t. After t = 3600 s, kt = 3.6, so P - 1 = 38e-3.6 = 38/38 = 1 atm and P = 2 atm. Hence Ans (b).
Stream:JEESubject:ChemistryTopic:Ideal GasSubtopic:Problems related with container/piston/SPM
⏱ 2mℹ️ Source: QB
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