A 1.10g balloon is filled with helium gas until it becomes a 22.0cm-diameter sph
ID: 2244104 • Letter: A
Question
A 1.10g balloon is filled with helium gas until it becomes a 22.0cm-diameter sphere. What maximum mass can be tied to the balloon (with a massless string) without the balloon sinking to the floor?
Please answer in g! Will rate! thanks in advance!
Please show work and answer to get points.
A 1.10g balloon is filled with helium gas until it becomes a 22.0cm-diameter sphere. What maximum mass can be tied to the balloon (with a massless string) without the balloon sinking to the floor?
Please answer in g! Will rate! thanks in advance!
Please show work and answer to get points.
Explanation / Answer
Let the density of air be d and that of helium be d1. Then the mass m which can be tied to it without making it sink to the floor is given by
(4/3)*pi*(0.125^3)[d - d1]= 1.10+m or
m = (4/3)*pi*(0.125^3)[d - d1] - 1.10
Assume d = 0.001225 g/cm3, d1 = 0.0001785 g/cm^3
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