A spherical balloon can hold 1.2 liters of helium. The balloon has a mass of 26 milligrams when empty. Helium has a density of 0.1785 grams per liter. What is the mass of the balloon when it is filled with helium?

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A spherical balloon can hold 1.2 liters of helium. The balloon has a mass of 26 milligrams when empty. Helium has a density of 0.1785 grams per liter. What is the mass of the balloon when it is filled with helium?

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Answer 1 · 2016-05-21T13:47:55

$Mass of full balloon = Mass of empty balloon + mass of contents$ $"Mass of full balloon "=" Mass of empty balloon + mass of contents"$ $=$ $=$ $? ? g$ $??g$

Explanation:

So, we need first to calculate the mass of the helium in the balloon.

We are told that there are $1.2 \cdot L$ $1.2*L$ of $H e$ $He$ , and also that the density ( $ρ$ $rho$ ) of $H e$ $He$ $=$ $=$ $0.1785 \cdot g \cdot L^{- 1}$ $0.1785*g*L^-1$ .

But $ρ$ $rho$ $=$ $=$ $\frac{Mass}{Volume}$ $"Mass"/"Volume"$ . Thus $Mass of gas = Volume \times ρ$ $"Mass of gas"= " Volume"xxrho$ $=$ $=$ $0.1785*g*cancel(L^-1)xx1.2*cancelL$ $=$ $0.2142*g$ . Note here that the units I used cancelled out to give an answer in grams as required.

Given this mass, the mass of the balloon is this mass + tare value $=$ $0.2142*g+ 0.026*g$ . Capisce? If I let it go, will it float or sink in the air; why?

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A spherical balloon can hold 1.2 liters of helium. The balloon has a mass of 26 milligrams when empty. Helium has a density of 0.1785 grams per liter. What is the mass of the balloon when it is filled with helium?

1 Answer

Explanation:

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