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Question

A bulb of unknown volume contained an ideal gas at 650mm pressure. A certain amount of the gas was withdrawn and found to occupy 1.5 cc at 700 mm pressure. The pressure of the gas remaining in the bulb was found to be 600 mm. If all measurements are made at the same temperature, the volume of the bulb is ?

A
21 cc
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B
42 cc
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C
105 cc
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D
63 cc
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Solution

The correct option is C 21 cc
The number of moles of gas withdrawn, n1=RTPV=RT1.5cc×700mm=RT1050
If the total volume of bulb is x cc
The number of moles of gas remaining in the bulb, n2=RTx×600
Again, before withdrawal of gas
n1+n2=RTx×650
RT(11050+1600×x)=RTx×650
11050=1x(16501600)x=21 cc

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