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Sometimes an experiment requires a certain pure gas to be used at reduced pressure. One way to achieve this is to purchase a sealed glass container filled with the gas, and to introduce the gas
into a vacuum by attaching the glass container to the vacuum chamber and breaking the tip of
the glass container using a metallic bean and a magnet. If the volume of the glass container is
1.0 L and it is at a pressure of 100,000.0 Pa, and if the vacuum chamber has a volume of 8.0 L, what will the pressure be after the gas, which is to be assumed to be an ideal gas, is released into the vacuum chamber
and thermal equilibrium is restored? Note that the glass container remains part of the system.
A) 800,000 Pa B) 11,000 Pa C) 75,000 Pa
D) 900,000 Pa E) 13,000 Pa

Explanation / Answer

Ideal gas equation says, PV = nRT

Here, assuming the temperature to be constant, n and R are constant anyway.

So, we can write P1V1 = P2V2

1 x 100000 = P2 ( 8 + 1 )

P2 = 100000 / 9 = 11111.1111 Pascals

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