Ideal gas laws dealing with pressure volume and temp.

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SUMMARY

The discussion centers on solving an ideal gas law problem involving pressure, volume, and temperature changes. The initial conditions are Vi = 520 cm³, Pi = 3 atm, and Ti = 100°C, with a final pressure of 1 atm and a volume of 1000 cm³. The incorrect calculation led to a final temperature of 64.1°C, which was identified as erroneous due to the failure to use absolute temperature in the calculations. The correct approach requires converting temperatures to Kelvin before applying the ideal gas law equation.

PREREQUISITES
  • Understanding of the Ideal Gas Law
  • Knowledge of absolute temperature conversion (Celsius to Kelvin)
  • Familiarity with the equation p1 x V1 / T1 = p2 x V2 / T2
  • Basic algebra skills for solving equations
NEXT STEPS
  • Learn about absolute temperature and its importance in gas law calculations
  • Study the Ideal Gas Law and its applications in thermodynamics
  • Explore examples of pressure-volume-temperature problems in ideal gases
  • Review common mistakes in gas law calculations and how to avoid them
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Students studying physics or chemistry, educators teaching gas laws, and anyone seeking to understand the principles of thermodynamics related to ideal gases.

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Homework Statement



An ideal gas has the following initial conditions: Vi = 520 cm3, Pi = 3 atm, and Ti = 100°C. What is its final temperature if the pressure is reduced to 1 atm and the volume expands to 1000 cm3?

Homework Equations


I used the equation p1 x v1 / t1 = p2 x v2 / t2


The Attempt at a Solution


3atm x 5.2 m^3 / 100 C = .156
.156 = 1atm x 10 m^3 / T
T= 64.1 C.
This answer was incorrect and I'm wondering if someone could point me in the right direction?? Thanks!
 
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First of all, you ALWAYS use absolute temperatures with gas law equations.
 

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