Volume and Diameter Increase of Balloon in Stratosphere: Physical Chem Question

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Discussion Overview

The discussion revolves around calculating the increase in volume and diameter of a balloon as it ascends from sea level at 20 degrees Celsius to the stratosphere at 40 km. The focus is on applying physical chemistry principles, particularly gas laws, to solve the problem.

Discussion Character

  • Homework-related
  • Mathematical reasoning

Main Points Raised

  • One participant expresses uncertainty about having enough information to solve the problem.
  • Another participant suggests using a volume-temperature relationship (v1/t1 = v2/t2) and provides specific temperature values for calculations, assuming standard conditions in the stratosphere.
  • A later reply questions the exclusion of pressure in the calculations and proposes using the combined gas law (p1*v1/t1 = p2*v2/t2), indicating a need to calculate pressure differences based on altitude.
  • Another participant agrees that pressure should be considered but suggests assuming it is constant since it is not mentioned in the original question.

Areas of Agreement / Disagreement

Participants generally agree that pressure is an important factor in the calculations, but there is disagreement on whether it should be treated as constant or variable. The discussion remains unresolved regarding the best approach to incorporate pressure into the solution.

Contextual Notes

Assumptions about pressure and temperature conditions in the stratosphere are not fully explored, and the implications of treating pressure as constant versus variable are not resolved.

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Homework Statement


Calculate the factor by which the volume and the diameter of a balloon would increase as it rose from sea level and 20 degrees celsius to the stratosphere at 40km.


Homework Equations



PV=nRT

The Attempt at a Solution



I don't think I have enough information to solve?
 
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dont use pv=nrt
here take as you have a volume temperature relationship
so it would be v1/t1=v2/t2
and your t1 should be 293K (20 Celsius) and your t2 would be 270K assuming that the conditions in the stratosphere are at STP. and of course your v1 is 0 and your v2 is unknown :)
hope it helped or at least what the question is asking
 
Maz88 said:
dont use pv=nrt
here take as you have a volume temperature relationship
so it would be v1/t1=v2/t2
and your t1 should be 293K (20 Celsius) and your t2 would be 270K assuming that the conditions in the stratosphere are at STP. and of course your v1 is 0 and your v2 is unknown :)
hope it helped or at least what the question is asking

Don't I need to consider pressure? So I would use p1*v1/t1=p2*v2/t2. But I would need to be able to calculate pressure difference based on height? Any idea on how to do that?
 
youre right you need to consider pressure, but i think that since its not mentioned in the question then you got to assume that it is constant.
 

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