Chemistry - Ideal Gas Question with Solution | TestHub
ChemistryIdeal GasProblems related with container/piston/SPMHard2 minQB
ChemistryHardsingle 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)
In what time will the pressure of the gas in the cylinder become 20 atm?
Options:
Answer:
A
Solution:
P - 1 = 38e-0.001t. For P = 20 atm: 19 = 38e-0.001t, so e0.001t = 2 and 0.001t = ln 2 = 0.7, giving t = 700 s. Hence Ans (a).
Stream:JEESubject:ChemistryTopic:Ideal GasSubtopic:Problems related with container/piston/SPM
⏱ 2mℹ️ Source: QB
Doubts & Discussion
Loading discussions...
