A balloon archway has been ordered for decorating the high school gym for a 1950's
style prom. The archway will contain 417 balloons, each holding 1.1 liters of helium.
Each balloon has a mass of 0.027 grams when empty, and all the string and fixings
that hold the balloons together total another 36 grams. If helium has a density of
0.1785 grams per liter, what is the mass of the entire archway.

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facundo3141592 facundo3141592 · Answer 1 · 2022-04-27T13:24:43+02:00

We will see that the total mass of the entire archway is M = 129.1578g

We know that each ballon weighs 0.027 grams for the plastic.

Now, we also need to remember the relation:

mass = density*volume.

Here, the density of helium is 0.1785 g/L

And the volume of each ballon is 1.1 L, then the mass of helium in each ballon is:

m = (0.1785 g/L)*(1.1 L) = 0.1964 g

Then the total mass of each ballon is:

M = 0.1964 g + 0.027g = 0.2234g

And there are 417 ballons, so the total mass (also adding the 36 grams for the strings) is:

Mass = 417*0.2234g + 36g = 129.1578g

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