Asked by Annie
                We start with 5.00 moles of an ideal monatomic gas with an initial temperature of 123C. The gas expands and, in the process, absorbs an amount of heat equal to 1300J  and does an amount of work equal to 2040J.
What is the final temperature of the gas?
Use R= 8.3145J/(mol*K) for the ideal gas constant
I'm not sure how to set this up. I tried a few ways, but all of them ended up with the wrong answer
            
        What is the final temperature of the gas?
Use R= 8.3145J/(mol*K) for the ideal gas constant
I'm not sure how to set this up. I tried a few ways, but all of them ended up with the wrong answer
Answers
                    Answered by
            drwls
            
    The change in internal energy (U) is equal to heat in (Q) minus work out (W). 
The key to this probloem is knowing that the internal energy per mole of a MONATOMIC gas is (3/2) R T.
Thus,
delta Q = (3/2)*n* R*(delta T)
= 1300 - 2040 = -740 J
n is the number of moles and R = 8.317 J/mole K
Solve for delta T. It will be negative. I get -12 C (or K)
    
The key to this probloem is knowing that the internal energy per mole of a MONATOMIC gas is (3/2) R T.
Thus,
delta Q = (3/2)*n* R*(delta T)
= 1300 - 2040 = -740 J
n is the number of moles and R = 8.317 J/mole K
Solve for delta T. It will be negative. I get -12 C (or K)
                    Answered by
            Annie
            
    Hey thanks! At one point I was using (3/2)R(deltaT) but I wasn't setting it equal to (DeltaQ).
    
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