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Question

 A steel 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 temperatue, what volume will the gas occupy?
 


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 

Chemistry
Concise Chemistry
Standard IX

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