How much weight can the balloon lift?

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Homework Help Overview

The discussion revolves around determining how much weight a balloon can lift, focusing on the relationship between the mass of the air inside the balloon, its volume, and the densities of hot and cool air. Participants explore the implications of density in this context.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss using the formula for density to calculate the mass of the air inside the balloon and question how to incorporate the balloon's empty mass and any additional load into the total mass lifted. Some express a desire for alternative methods or further clarification on the calculations involved.

Discussion Status

The conversation is ongoing, with various participants offering hints and questioning assumptions. There is an emphasis on understanding the problem rather than simply providing a solution, and some guidance has been shared regarding the relationship between mass, density, and volume.

Contextual Notes

Participants are working with specific constraints, such as given volumes and densities, and are encouraged to think critically about the problem without being provided direct solutions.

Funny_N_Cool
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Homework Statement
A typical hot air balloon has a volume of 2801 cubic meters. The density of air outside the balloon is 1.17 kg/ cubic meter. The density of the hot air inside the balloon is 0.9 kg/ cubic meter. How much weight can the balloon lift?
Relevant Equations
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Keep adding mass to the balloon until the densities become equal.
 
@chemisttree Could you please demonstrate the solution?
 
How would you calculate the total mass of the balloon using the information provided?
 
I think the only formula to calculate the mass is the formula of density given this info.
 
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@chemisttree Is there another way to solve? please provide it explained.
 
Funny_N_Cool said:
I think the only formula to calculate the mass is the formula of density given this info.
You are given a volume and two different densities. What is the weight of the balloon filled with hot air versus cool air?
 
@berkeman Do you have any idea how to solve it?
 
Funny_N_Cool said:
@berkeman Do you have any idea how to solve it?
Given that the solution is utterly trivial, I'm quite confident that he can, but you are missing the point. The purpose of this forum is to help people learn how to solve problems, not to solve problems FOR them. You have been given sufficient hints, so think about it.
 
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  • #10
berkeman said:
You are given a volume and two different densities. What is the weight of the balloon filled with hot air versus cool air?
Funny_N_Cool said:
I think the only formula to calculate the mass is the formula of density given this info.
I misspoke. I should have said what is the mass of the air inside the balloon? The total mass lifted will be the mass of the empty balloon plus the added load. The sum of these is the total mass lifted. Any clearer?
 
  • #11
Funny_N_Cool said:
I think the only formula to calculate the mass is the formula of density given this info.
This is the correct direction to take.
 
  • #12
phinds said:
Given that the solution is utterly trivial, I'm quite confident that he can
Um, that's a compliment, right? Um... :wink:
 
  • #13
berkeman said:
Um, that's a compliment, right? Um... :wink:
Well, in a backhanded kind of way :smile:
 
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  • #14
What is the relationship between mass m, density ##\rho##, and Volume?
 

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