Finding temperature change, thermodynamics first law

AI Thread Summary
The discussion centers on calculating temperature changes using the ideal gas law (PV=nRT) and the first law of thermodynamics. The initial and final pressures were calculated as 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. Participants suggest re-evaluating the pressure calculations and question the inclusion of a 1.5 factor in the temperature formula. Accurate calculations and clear problem statements are emphasized for resolving discrepancies.
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.
 
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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