Heat Engine Problem - Get Help Now

mavidias
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Homework Statement
PV diagram of heat equation. rest of problem is in the picture
Relevant Equations
pv
Please help answering
Screen Shot 2020-12-17 at 3.10.27 PM.png
 
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You must show your own attempt at solution first. What have you tried so far?
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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