Final Temperature of Ideal Gas in Constant Pressure and Volume Compression

AI Thread Summary
The discussion revolves around calculating the final temperature of an ideal gas after it undergoes two stages of compression: first at constant temperature and then at constant pressure. The initial conditions are a pressure of 3.90 atm and a temperature of 136 °C. A common mistake noted is the failure to convert the temperature to an absolute scale, such as Kelvin, before performing calculations. The user initially calculated the final temperature as 68 °C but was informed by Mastering Physics that this was incorrect. Proper conversion and application of the ideal gas law (PV=nRT) are essential for accurate results.
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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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