Internal energy and temperature change with heat transfer and work

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Nick88

Homework Statement


What is the change in internal energy (in Joules) of an ideal gas that does 4.675x10^5J of work, while 2.95x10^6J of heat is transferred into the system and 7.95x10^6J of heat is transferred from the system to the environment? Calculate the change in temperature of the two moles of the gas. (R=8.314 J/mol.k)

Homework Equations


Formulas on equation sheet relating to concept: U=3/2 nRT, change in U=Q-W

The Attempt at a Solution


Me and my friend attempted two different ways, I'm probably wrong but my setup was
4.675x10^5=8.314(1)(T)
2.95x10^6=8.314(1)(T)
I found the two answers and added then together and did 7.95x10^6=8.314(2)(T) found this answer, then subtracted the two answers to get a final temperature.
 
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