Final Temperature of Ideal Gas in Constant Pressure and Volume Compression

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SUMMARY

The final temperature of an ideal gas subjected to constant pressure and volume compression is determined using the ideal gas law, PV=nRT. Initially, the gas is at 3.90 atm and 136 °C. After halving the volume at constant temperature, the temperature must be converted to Kelvin for accurate calculations. The correct final temperature, after applying the necessary conversions and calculations, is not simply half of the initial temperature, as indicated by the feedback from Mastering Physics.

PREREQUISITES
  • Understanding of the Ideal Gas Law (PV=nRT)
  • Knowledge of temperature conversion between Celsius and Kelvin
  • Familiarity with concepts of constant pressure and volume in gas laws
  • Basic algebra for manipulating equations
NEXT STEPS
  • Study the Ideal Gas Law in detail, focusing on its applications in thermodynamics
  • Learn about temperature conversions, specifically between Celsius and Kelvin
  • Explore the implications of constant pressure and volume on gas behavior
  • Review common mistakes in gas law calculations to avoid errors
USEFUL FOR

Students studying thermodynamics, physics educators, and anyone seeking to understand the behavior of gases under varying pressure and volume conditions.

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Homework Statement


A container of gas at 3.90atm pressure and 136 ∘C is compressed at constant temperature until the volume is halved. It is then further compressed at constant pressure until the volume is halved again.
What is the final temperature of the gas?

Homework Equations


PV=nRT


The Attempt at a Solution


seems like a very easy question, but I'm doing Mastering Physics and it is saying I am wrong.
the volume is being halved and the pressure remains constant, so shouldn't the temperature just be halved also?
I got 68 degrees celsius as my answer, but Mastering Physics says it is wrong and I should check my signs but that shouldn't be an issue.
 
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Don't forget to convert the temperature to an absolute scale (such as Kelvin) before you start the calculations. Then remember to convert it back to deg C when you're finished. :wink:
 
thanks collinsmark! totally forgot about that :p
 

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