What is the number of moles of N 2 in vessel A after sufficient time of openin | TestHub

Passage / Comprehension

The figure given below shows three glass chambers that are connected by valves of negligible volume. At the outset of an experiment, the valves are closed and the chambers contain the gases as detailed in the diagram. All the chambers are at the temperature of 300K throughout. Initially all the valves are closed. A is filled with He, B is filled with N₂ and C is empty.

What is the number of moles of $N_{2}$ in vessel A after sufficient time of opening of both the valves ?

Options:

Answer:

Solution:

Initial Moles of N₂: Calculated using $n = \frac{P V}{RT} = \frac{0.82 \times 10}{0.082 \times 300} = \frac{1}{3} m o l es$ .

Total Volume: After opening valves, the combined volume is $V_{t o t a l} = 6.0 + 10.0 + 4.0 = 20.0 L$ .

Gas Distribution: The gas distributes uniformly across the system, proportional to each vessel's volume.

Final Moles in A: $n_{A} = n_{t o t a l} \times \frac{V _{A}}{V _{t o t a l}} = \frac{1}{3} \times \frac{6.0}{20.0} = 0.1moles$ (Option B).

Chemistry - Ideal Gas Question with Solution | TestHub

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