In a steady state Rankine cycle at certain conditions, |WS,pump| = |WS,turbine|. What can be said about the magnitudes of QH and QC?
A. |QH| = |QC|
B. |QH| > |QC|
C. |QH| < |QC|
D. Nothing can be said definitively about their relationship.
E. The described state is impossible.
A. Correct. Applying the energy balance to the entire system, we find that heat added must equal heat removed.
B. Incorrect. This implies energy is accumulating in the system, or that it is not at steady state.
C. Incorrect. This would suggest that heat is being generated within the system, which is not true.
D. Incorrect. Perform an energy balance on the overall system.
E. Incorrect. There is nothing physically impossible about this, although it is clearly not a Rankine cycle that is operating as intended, since the net production of work is 0.
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