How to Find Final Temperature with Constant Pressure and Changing Volume

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SUMMARY

The discussion focuses on calculating the final temperature of 0.185 mol of air in a cylinder after 645 J of heat is transferred, while maintaining constant pressure at 3.00E6 Pa. The initial temperature is 780 K, and the initial volume is 0.40 L. The relevant equations include W = p(V2 - V1) and the first law of thermodynamics, dE = Q - W. The challenge lies in determining the final volume, V2, which is not provided in the problem statement.

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Homework Statement


645 J of heat is transferred to 0.185 mol of air inside a cylinder with volume 0.40 L. The air is at initial pressure is 3.00E6 Pa and temperature 780K.

Find the final temperature if the cylinder volume is allowed to increase while pressure remains constant.

Homework Equations


W=p(V2-V1)

The Attempt at a Solution



I have literally no idea how to do this problem. The examples in the book are (once again) unlike this problem. The question doesn't even make sense. It doesn't say what the final volume is.
 
Last edited:
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If the pressure remains constant, you know whatever work the cylinder does is given by W=p(V2-V1). Can you use dE=Q-W to solve for V2?
 

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