An ideal gas filled in a cylinder occupies volume V. The gas is compressed isothermally to the volume 3 V . Now the cylinder valve is opened and the gas is allowed to leak keeping temperature same.

Question

An ideal gas filled in a cylinder occupies volume V. The gas is compressed isothermally to the volume 3 V ​ . Now the cylinder valve is opened and the gas is allowed to leak keeping temperature same. What percentage of the number of molecules should escape to bring the pressure in the cylinder back to its original value?

TestHub · Accepted Answer

After compression ρ ′ = 3 ρ and P ′ = 3 P . Leak at constant V, T: P 3 P ​ = n ′ n ​ ⇒ n ′ = 3 n ​ , so 3 2 n ​ ≈ 66% of the molecules should escape.

Physics - Heat & Thermo Question with Solution | TestHub

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