Calculating Helium Needed for a Balloon to Float

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Homework Help Overview

The discussion revolves around determining the amount of helium required for a balloon to float, given the mass of the unfilled balloon and the densities of helium and air. Participants are exploring the principles of buoyancy and the relationship between the volume of helium and the forces acting on the balloon.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are attempting to calculate the volume of helium needed based on the balloon's mass and the densities provided. Questions arise regarding the conditions necessary for the balloon to float and the net forces involved. Some participants express uncertainty about how to proceed with the calculations and the relevance of buoyancy.

Discussion Status

The discussion is active, with participants sharing their calculations and questioning the necessary conditions for buoyancy. Some guidance has been offered regarding the relationship between the densities of helium and air, and how to approach the calculations, but there is no explicit consensus on the next steps.

Contextual Notes

Participants are navigating through the constraints of the problem, including the need to understand buoyancy and the implications of replacing air with helium in the balloon. There is a focus on the calculations needed to determine the volume of helium required to lift the mass of the balloon shell.

Miri
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Homework Statement


The mass of an unfilled balloon is 7.5g. How much helium has to be filled in the balloon to make it float in air?
density of helium: 0.18kg/m^3
density of air: 1.29kg/m^3

Homework Equations


When I calculate the volume like this: (7.5*10^-3kg)/(0.18kg/m^3)=0.041m^3 and than I don't know what to do with the density and the volume of water...Solution would be 1.2g
 
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When will the balloon float?
 
When it has 1.2g helium in it. But I don't know how I can calculate this...
 
Miri said:
When it has 1.2g helium in it. But I don't know how I can calculate this...

What are the conditions required for the balloon to float? What should the net force on it be in order for it to float?
 
I don't know what the conditions are. I just know that it has to float. And why do we need a net force? And how would we calculate it? Thx for your patience
 
What forces act on balloon?
 
Miri said:
I don't know what the conditions are. I just know that it has to float. And why do we need a net force? And how would we calculate it? Thx for your patience

When your balloon is filled with helium, how much less mass is in it per unit volume than if it was filled with air?

Think buoyancy. Displaced air ...

When you know what volume you need to lift the mass of the balloon shell itself, then you can figure how much helium is in that volume can't you?
 
So the volume needed to lift the mass of the balloon shell itself is calculated like this: 7.5*10^-3kg / 1.29kg/m^3=0.006m^3. But what's the point now? Should I calculate 7.5*10^-3kg / 0.18kg/m^3=0.04m^3 and then??
 
Miri said:
So the volume needed to lift the mass of the balloon shell itself is calculated like this: 7.5*10^-3kg / 1.29kg/m^3=0.006m^3. But what's the point now? Should I calculate 7.5*10^-3kg / 0.18kg/m^3=0.04m^3 and then??

No. Not like that.

Think of the difference in density needed.

Air is 1.29 kg/m3. If you replace it with helium then that means that you have a buoyancy of (1.29 - .18) or 1.11 kg/m3.

The volume needed to lift the .0075 kg of the balloon itself is what you want. TRhen figure the mass of helium in that volume.
 

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