The discussion revolves around a Carnot engine operating between two thermal reservoirs at temperatures T1 and T2, where T1 is greater than T2. The problem involves finding the final temperature attained when the heat capacities of both reservoirs are equal.
Some participants have provided initial reasoning involving infinitesimal heat changes and the relationship between heat transfer and temperature changes. There is an ongoing exploration of the entropy changes in the reservoirs, with suggestions to integrate to find the total change in entropy over the process. The discussion reflects a mix of interpretations and approaches without a clear consensus yet.
Participants are working under the assumption that the temperature changes during a single cycle are very small, and they are considering the implications of the Carnot engine's reversible nature on the total change in entropy.
You have to show us what you have done to solve the problem. Please follow the homework template.junfan02 said:A Carnot engine is operating between a source and a sink at temperatures T1 & T2 (T1>T2) respectively..
The heat capacities of the source and the sink are equal.
Find the final temperature attained.
junfan02 said:dQ amount of heat taken away from the aource reduces its temperature by dQ/c.
Assuming c to be the common heat capacity. And the increase in temperature of the sink for this cycle is T2*dQ/(T1*c)
How do I proceed after this?
So work out the expression for the change in entropy of each reservoir and set their sum equal to 0!junfan02 said:The total change in entropy obviously has to be zero since this is a reversible process!