Ideal Gas Law & Combined Gas Law Problem

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SUMMARY

The discussion focuses on solving a problem involving the Ideal Gas Law and the Combined Gas Law, specifically for a helium balloon rising from 1.00 atm at 15.0°C to an altitude with a pressure of 0.900 atm. The key equations utilized are the Ideal Gas Law and the Combined Gas Law, which allow for the calculation of the new volume and temperature of the gas under changing pressure conditions. The problem emphasizes the adiabatic nature of the ascent, indicating minimal heat exchange with the surrounding air, which affects temperature changes during the ascent.

PREREQUISITES
  • Understanding of the Ideal Gas Law (PV=nRT)
  • Familiarity with the Combined Gas Law (P1V1/T1 = P2V2/T2)
  • Knowledge of adiabatic processes in thermodynamics
  • Basic algebra for solving equations
NEXT STEPS
  • Study the derivation and applications of the Ideal Gas Law
  • Learn how to apply the Combined Gas Law to real-world scenarios
  • Explore the principles of adiabatic processes in gas behavior
  • Practice solving problems involving changes in gas volume and temperature under varying pressures
USEFUL FOR

This discussion is beneficial for students studying physics or chemistry, particularly those focusing on thermodynamics and gas laws, as well as educators seeking to enhance their teaching of these concepts.

Ginerva123
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[SOLVED] Gas laws

Homework Statement



A balloon containing 2000m^3 of helium gas at 1.00atm and a temperature of 15.0 C rises from ground level to an altitude at which the atmospheric pressure is only 0.900atm. Assume the helium behaves like an ideal gas and the balloon's ascent is too rapid to permit much heat exchange with the surrounding air. Calculate both the volume and the temperature of the gas at the higher altitude.


Homework Equations



Ideal gas equation; combined gas law.


The Attempt at a Solution



Not really sure how to procede... If I had the new temperature, i could find the new volume, and vice versa, but without either, I'm stuck. Also, if there is little heat exchange with the surrounding air, how does the temperature change?
 
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You know that the process is adiabatic, you also know the initial and final pressures. :wink:
 

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