a steel cylinder of internal volume 20 litres is filled with hydrogen at 29 atmospheric pressure . If hydrogen is used to fill a balloon at 1.25 atmospheric pressure at the same temperature , what volume will the gas occupy?

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Solution

According to Boyle's law, at constant temperature, pressure exerted by a gas is inversely proportional to its volume.
Hence, mathematically we can write as:
PV = k
Where k is constant.
So,we can write as,
P₁V₁ = P₂V₂.................(i)
Here 1 is used for representing initial condition and 2 is used for final conditions.
P₁ = 29 atm
P₂= 1.25 atm
V₁ = 20 L
Substitute above values in equation (i)
V₂ = 20 x 29 / 1.25
= 464 L

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