Calculating Internal Energy & Temperature Change of Ideal Gas

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The discussion revolves around calculating the change in internal energy and temperature of an ideal gas based on given work and heat transfer values. The internal energy change is determined using the first law of thermodynamics, where the net heat transferred to the gas is calculated by subtracting the heat lost from the heat gained. The formulas U = 3/2 nRT and change in U = Q - W are applied to find the internal energy change and temperature. The calculations involve determining the net heat and using the ideal gas constant R to find the final temperature. The approach highlights the importance of correctly applying thermodynamic principles to solve for energy changes in gases.
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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What is the net amount of heat transferred to the gas? From the first law, what is the change in internal energy?
 

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