Thermodynamics Question Calculating change in temperature

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  • #1
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Homework Statement

[/B]
50 moles of an ideal gas for which Cp= 5/2R and Cv=3/2R initially has a pressure of 1x10^5 Pa, and a volume of 1.0m^3. It undergoes a process where the pressure and volume both double while they stay proporitional to each other: P=constV. What is the change in temperature for this process?


Homework Equations


ΔU= Q-W
PV=nRΔT
ΔU= nCv(ΔT) [/B]


The Attempt at a Solution


So I started by trying to use PV=nRΔT and calculating T, however I wasnt successful. The answer in my book is in Kelvins, so I tried converting the temperature that I calculated to Kelvins, however it was still wrong.

I'm thinking that I might need to take the integral: ∫ PVdv but im not sure if thats correct either.

Can somone please help me out, It would be greatly appreciated.

The correct answer is: 720K
 
Last edited:

Answers and Replies

  • #2
TSny
Homework Helper
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Hello.
PV=NRΔT
The above equation is not correct. The ideal gas law is PV = nRT, not PV = nRΔT.

From PV = nRT can you calculate the initial temperature? How about the final temperature?
 
  • #3
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From the ideal gas law, what is the initial temperature? From the ideal gas law, what is the final temperature?

Chet
 

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