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Question

A glass bulb A and B are connected by a very small tube having a stop cock. Bulb A has a volume of 100 ml and contained the gas while bulb B was empty. On opening the stop cock, the pressure fell down to 40%. Assuming the temperature remains constant, the volume of the bulb B must be

A
40 ml
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B
60 ml
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C
150 ml
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D
260 ml
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Solution

The correct option is C 150 ml
In the process of opening the stop cock, the total number of moles of gas does not change.
Let the initial pressure = P
Final pressure = 0.4P
Since moles are constnat, P(0.1 L) = 0.4P(0.1 + VB )
Solving VB = 0.15L = 150 m L

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