Heat Engine Problem. Does the volume of a reservoir matter?

AI Thread Summary
The discussion revolves around two heat engine problems involving a tank of water and a river, focusing on the relevance of the tank's volume. The first problem requires calculating the maximum work output of a heat engine operating between a hot tank at 100 degrees Celsius and a cold river at 10 degrees Celsius. Participants suggest that while the volume may seem extraneous, it could be important for determining the energy available based on the mass of the water and its temperature change. The second problem introduces a similar scenario with two tanks of equal volume, prompting further inquiry into the application of Carnot efficiency. Understanding the relationship between temperature, volume, and energy is crucial for solving these problems effectively.
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Okay, I thought that I got these two easy problems but for some reason I'm making them hard.

The first problem reads like this.
"A heat engine operates between a tank containing 1*10^3 m^3 of water and a river at a constant temperature of 10 degrees Celcius. If the temperature of the tank is initially 100 degrees Celsius, what is the maximum amount of work that the heat engine can perform?"

At first I thought that I would just find the efficiency of the engine by using the temperatures after converting them to degrees Kelvin and then use it to find the work. But that information about the volume is bothering me. Did the author put it for some reason in there? If so what would I use it for exactly and how?

The second problem is pretty similar except there are two tanks and both of them have the same volume.

If anyone knows how to deal with these problems and could respond I would be so grateful.
 
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The amount of energy in the system is the mass of the tank times the delta-T.

The problem may want you to be considering the carnot efficiency of a heat engine that uses a source and sink at those temperatures. Remember when you calculate that, the temperature is not constant...

Btw, we have a homework help section...
 
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