Chemistry - Ideal Gas Question with Solution | TestHub
ChemistryIdeal GasProblems related with container/piston/SPMMedium2 minQB
ChemistryMediumsingle 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)
How many balloons of capacity 4.1 dm³ can be filled at 1 atm and 27°C using the gas that leaked out in 1 h?
Options:
Answer:
C
Solution:
Gas leaked in 1 h: Δ n = Δ P · V/RT = (39 - 2)× 5/(0.0821 × 300) = 185/24.63 = 7.51 mol. Each balloon holds n = 1 × 4.1/(0.0821 × 300) = 0.1665 mol. Number of balloons = 7.51/0.1665 = 45.1, i.e. 45 full balloons. Hence Ans (c).
Stream:JEESubject:ChemistryTopic:Ideal GasSubtopic:Problems related with container/piston/SPM
⏱ 2mℹ️ Source: QB
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