A balloon is to be filled with helium (density 0.178 kg/m^3) while the air outsi

Question

A balloon is to be filled with helium (density 0.178 kg/m^3) while the air outside has density 1.29 kg/m^3. The mass of the empty balloon is 80.0kg and it is to lift a load of 240kg. What minimum volume is necessary for the lift off? Assume that the balloon material and the load occupy negligible volumes. A balloon is to be filled with helium (density 0.178 kg/m^3) while the air outside has density 1.29 kg/m^3. The mass of the empty balloon is 80.0kg and it is to lift a load of 240kg. What minimum volume is necessary for the lift off? Assume that the balloon material and the load occupy negligible volumes.

Explanation / Answer

We need B >= W; where B =
Rho g V is the buoyant force and W = mg + Lg + rho g V is the weight to lift. Solve for:

V from Rho V - rho V = m + L; so we have V = (m + L)/(Rho - rho) = (80 + 240)/(1.29 - .178) = 288 m^3. ANS

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