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Question

# Children brought some balloons each of 2 litre capacity to a chemist and asked him to fill them with hydrogen gas. The chemist possessed 8 litre cylinder containing hydrogen at 10 atm pressure at room temperature. How many balloons could he fill with hydrogen gas at normal atmospheric pressure at the same temperature?

A
40
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B
36
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C
32
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D
28
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Solution

## The correct option is D 40Initial pressure in the cylinder P = 10 atm.Initial volume in the cylinder V = 8 L.Final pressure in the balloons P′ = 1 atm.Final volume in the balloons V′ = ??PV=P′V′ at same temperature 10 atm × 8 L = 1 atm ×V′V′= 80 LThe number of balloons ( each of 2 litre capacity ) that he could fill = 80 L 2 L=40

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