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

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SUMMARY

The discussion focuses on 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. Participants emphasize using the volume-temperature relationship, specifically the equation v1/t1 = v2/t2, with initial conditions of t1 at 293K and t2 at 270K. There is a consensus that pressure can be assumed constant for this problem, despite its relevance in real-world scenarios. The solution hinges on understanding the ideal gas law and the behavior of gases under varying temperatures.

PREREQUISITES
  • Understanding of the ideal gas law (PV=nRT)
  • Knowledge of temperature conversion (Celsius to Kelvin)
  • Familiarity with volume-temperature relationships in gases
  • Basic principles of atmospheric pressure changes with altitude
NEXT STEPS
  • Research the ideal gas law and its applications in real-world scenarios
  • Learn about atmospheric pressure variations with altitude
  • Study the relationship between temperature and volume in gases
  • Explore the effects of altitude on gas behavior in the stratosphere
USEFUL FOR

Students studying physics or physical chemistry, educators teaching gas laws, and anyone interested in the behavior of gases under varying atmospheric conditions.

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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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