Question

A steel cylinder of internal volume 20 liters 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 the gas occupy

Answer 1

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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Answer 2

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