How Do You Calculate Work and Entropy Generation for Reversible Processes?

AI Thread Summary
The discussion focuses on calculating work and entropy generation for two schemes involving the compression and heating of atmospheric air. Both schemes involve reversible processes, with one using adiabatic compression followed by isobaric heating, and the other using isobaric heating followed by adiabatic compression. Key equations for the analysis include mass and energy balances, as well as entropy balance, with specific attention to heat transfer at a constant temperature. The main confusion arises regarding the differences in entropy change between the two processes and the overall change in entropy from the initial to final states. Understanding these concepts is crucial for accurately determining work and entropy generation in thermodynamic processes.
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Homework Statement


Atmospheric air at 300K and 100kPa is to be delivered to a line at 600K, 200kPa. Two possible schemes for doing this are suggested. The first scheme involves reversible adiabatic compression and then internally reversible isobaric heating. .The second scheme involves internally reversible isobaric heating first and then reversible adiabatic compression. In both cases heat exchange takes place with a reservoir at 900K. Assume an ambient condition of 100 kPa, 300K.

a) Determine work and entropy generation for both of the suggested ways.

Homework Equations


Q=m.Tb(s2-s1)-Tb.sigma sigma= entropy

The Attempt at a Solution


heat transfer only occurs at Tb, ignore KE Pe, air is ideal gas

mass and energy balances at steady state W=Q+m(h1-h2)
entropy balance gives Q/Tb+m(s2-s1)+sigma

I don't understand the difference betwwen 1 and 2
 
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What is the change in entropy for any adiabatic reversible compression? What is the change in entropy in going from 300 K and 100 kPa, to 600 K and 200 kPa, irrespective of the process path?
 
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