Finding Final Temperature of Ideal Gas from P vs V Graph

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To find the final temperature of a monatomic ideal gas from a P vs V graph, one must utilize the ideal gas law, which relates pressure (P), volume (V), and temperature (T). The initial temperature at point A can be used alongside the changes in pressure and volume to calculate the final temperature. The area under the curve or the specific path taken on the graph may also provide insights into the work done on or by the gas, impacting its thermal state. Understanding the relationships between these variables is crucial for accurate calculations. Ultimately, applying the ideal gas law allows for determining the final temperature based on the provided graph data.
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Given a graph of P vs V of a monatomic ideal gas, how can we find the final temperature when the inital temperature is given ?

Thx~
 
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What do you know about the relationship between pressure, volume and temperature?
 
http://img107.imageshack.us/img107/3283/untitledlt5.jpg


This is what the diagram looks like with given temperature at A.
 
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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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