Finding temperature change, thermodynamics first law

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SUMMARY

The discussion centers on calculating temperature changes using the ideal gas law, specifically the equation PV=nRT. The user calculated initial and final pressures of 62639 and 96629, respectively, leading to initial and final temperatures of 81.79 and 167.747. However, the calculated temperature change of 85.957 does not match the expected answer of 122.74. A key point raised is the questionable factor of 1.5 in the temperature calculation, which may be contributing to the discrepancies in the results.

PREREQUISITES
  • Understanding of the ideal gas law (PV=nRT)
  • Basic knowledge of thermodynamics and pressure-temperature relationships
  • Ability to perform unit conversions and dimensional analysis
  • Familiarity with problem-solving in physics or chemistry contexts
NEXT STEPS
  • Review the ideal gas law and its applications in thermodynamics
  • Learn about dimensional analysis to ensure unit consistency in calculations
  • Investigate the significance of factors in equations, such as the 1.5 in the temperature calculation
  • Practice solving thermodynamic problems involving pressure and temperature changes
USEFUL FOR

This discussion is beneficial for students studying thermodynamics, particularly those tackling problems involving the ideal gas law, as well as educators looking for examples of common calculation errors in this area.

JoeyBob
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Homework Statement
see attached
Relevant Equations
PV=nRT
So I calculated the final and initial pressures using the given eqns, ended up with the final pressure of 96629 and initial pressure of 62639.

Then I used the PV=nRT eqn to calculate the final and initial temperatures. T=P*V/(n*1.5*R).

I got an initial temperature of 81.79 and a final temperature of 167.747, which is a change in temperature of 85.957 but the answer is 122.74.
 
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JoeyBob said:
Homework Statement:: see attached
Relevant Equations:: PV=nRT

So I calculated the final and initial pressures using the given eqns, ended up with the final pressure of 96629 and initial pressure of 62639.

Then I used the PV=nRT eqn to calculate the final and initial temperatures. T=P*V/(n*1.5*R).

I got an initial temperature of 81.79 and a final temperature of 167.747, which is a change in temperature of 85.957 but the answer is 122.74.
So, is there a problem statement somewhere involved here?
 
Also, attaching units to your numbers would be helpful.
 
Chestermiller said:
So, is there a problem statement somewhere involved here?

My bad. its attached to this reply
 

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Your pressures are way off. Please redo the calculation.
 
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I don't confirm either of the pressures you calculated. Also, what is that 1.5 factor doing in the denominator of your ideal gas temperature calculation?
 

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