A balloon has a volume of 175 L when filled with hydrogen at a pressur

1.	A balloon has a volume of 175 L when filled with hydrogen at a pressure of 1.00 atm. Calculate the volume of the balloon when it rises to a height of 2000 m, where the atmospheric pressure is 0.80 atm. Assume that the temperature is constant.
Answer» V₁ = 175 L V₂ = ? p₁ = 1.0 atm and p₂ = 0.80 atm As the temperature is constant, therefore by Boyle's law. p₁V₁ = p₂V₂ 1 x 175 = 0.80 x V₂ or, V₂ = 175/0.80 = 218.75 litres

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

Answer»

V₁ = 175 L

V₂ = ?

p₁ = 1.0 atm and

p₂ = 0.80 atm

As the temperature is constant, therefore by Boyle's law.

p₁V₁ = p₂V₂

1 x 175 = 0.80 x V₂

or, V₂ = 175/0.80 = 218.75 litres