Solving the P-V Diagram Ratio of p2/p1

AI Thread Summary
The discussion focuses on calculating the ratio p2/p1 from a p-V diagram involving two paths for a gas transitioning from state a to state b. Path 1 requires 3.0p1V1 of heat, while Path 2 requires 8.5p1V1. The attempt to solve the problem involves equating changes in internal energy for both paths, leading to the equation 8.5p1 = 3p2. The resulting ratio is p2/p1 = 8.5/3. The absence of a visible p-V diagram complicates the analysis.
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Homework Statement



The p-V diagram in the figure below shows two paths along which a sample of gas can be taken from state a to state b, where Vb = 4.0V1. Path 1 requires that energy equal to 3.0p1V1 be transferred to the gas as heat. Path 2 requires that energy equal to 8.5p1V1 be transferred to the gas as heat. What is the ratio p2/p1?

http://edugen.wiley.com/edugen/courses/crs1650/art/qb/qu/c18/pict_18_96.gif

Homework Equations



ΔE=change in internal energy=Q-W (=heat-work)


The Attempt at a Solution



I tried to work this way but it's wrong..

ΔE2=ΔE1
8.5p1v1 - 3v1*(p2-p1)/2 (<--area inside the triangle)= 3p1v1
8.5p1v1 - 3p2v1 + 3p1v1 = 3p1v1
8.5p1 = 3p2
p2/p1=8.5/3
 
Last edited:
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There is no pV diagram that we can see.
 
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