Consider the cycle made of path A followed by path B shown below. 







The following integrals have been evaluated. 
















Is this cycle reversible, irreversible or impossible? 


Read : 
This is a
straightforward application of the Clausius Inequality to a thermodynamic cycle interacting with two thermal reservoirs. 










Diagram: 
See the problem
statement. 










Given: 

24.7 
kJ/K 


41.3 
kJ/K 









Find: 
Is this cycle reversible, irreversible or impossible? 










Assumptions: 
None. 











Equations
/ Data / Solve: 


















The Clausius Inequality is: 



Eqn 1 











If the cyclic integral is … 
... positive, the
cycle is impossible 






... negative, the
cycle is irreversible 






... zero, the cycle is
reversible 













Since the cycle is made up of two steps, A
& B, we can expand
Eqn 1 as follows: 

















Eqn 2 











Now, we can plug in
values from the problem statement. 

16.6 
kJ/K 












Because the cyclic
integral is greater than zero, the cycle is impossible. 










Verify: 
None. 


















Answers : 
Because the cyclic integral is greater than
zero, the cycle is impossible. 







































































