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Question

# Balloons of 4 lit. capacity are to be filled hydrogen at a pressure of 1 atm and 27∘C from an 8 lit cylinder containing hydrogen at 10 atm at the same temperature. The number of balloons that can be filled is:

A
20
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B
18
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C
40
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D
38
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Solution

## The correct option is A 20Using ideal gas law,PV=nRTAs the temperature is the samen∝PVGiven that Balloons of 4L capacity are to be filled hydrogen at a pressure of 1atm.Therefore,For ballons, n=1Pb=1atmVb=4LAlso given that 8L cylinder containing hydrogen at 10atm at the same temperature.For cylinder, n=?Pc=10atmVc=8L ∴ No. of ballons that can be filled from the cylinder =PcVcPbVb=10×84×1=20Hence the number of balloons that can be filled is 20.Hence, the correct option is A

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