A weather balloon has a volume of 175 L when filled with hydrogen at a pressure of 1.00 bars. Calculate the volume of the balloon when it rises to a height of 2000m, where the atmospheric pressure is 0.80 bar. Assume that the temperature is constant ?

Solution

From the given data,
V₁ = 175 L ;
V₂ = ?
P₁ = 1·00 bar
P₂ = 0·80 bar
According to Boyle’s law,
P₁V₁ = P₂V₂
Substituting the values,
we have,

1.0 space cross times space 175 space equals space 0.80 space cross times space straight V subscript 2 or space space space space straight V subscript 2 space equals space fraction numerator 1.0 space cross times space 175 over denominator 0.80 end fraction space equals space 218. space 75 space straight L

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