The Ideal Gas Law and Calculating Volume at Different Temperatures

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SUMMARY

The discussion focuses on applying the Ideal Gas Law to calculate the volume of an air bubble as it rises from a depth of 40 meters in a lake, where the initial temperature is 3.0°C and the final temperature at the surface is 30°C. The relevant equation used is p1v1/T1 = p2v2/T2, with pressure p1 calculated as p1 = pgh + p0. The user calculated the volume at the surface to be approximately 19.7608 cm³, indicating a misunderstanding in the relationship between pressures p1, p2, and atmospheric pressure p0.

PREREQUISITES
  • Understanding of the Ideal Gas Law
  • Knowledge of pressure calculations in fluids (p = pgh + p0)
  • Basic algebra for solving equations
  • Familiarity with temperature conversion from Celsius to Kelvin
NEXT STEPS
  • Study the Ideal Gas Law and its applications in real-world scenarios
  • Learn about hydrostatic pressure and its effects on gas volumes
  • Explore temperature conversion techniques and their importance in gas calculations
  • Investigate how to derive pressure relationships in varying conditions
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Students studying physics or chemistry, educators teaching gas laws, and anyone interested in understanding buoyancy and gas behavior in fluids.

Forceflow
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An air bubble of volume 18 cm3 is at the bottom of a lake 40 m deep where the temperature is 3.0°C. The bubble rises to the surface, which is at a temperature of 30°C. Take the temperature of the bubble to be the same as that of the surrounding water. What is the volume of the bubble just as it reaches the surface?

So, my teacher told me to use p1v1/T1 = p2v2/T2 p1=pgh+p0

however, when i did the work, the answer i got was 19.7608
So, could someone set up the equation for me in case I'm doing it wrong?
 
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How is p2 related to p1 and p0? What did you use for T1 and T2? Show us how you did the calculation.
 
the only parts that i understand is the first equation which i set up like this..

18/(3+273)=x/(30+273)
 
i solved it..thank you though
 

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