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A small 30 MW powerplant fueled by agricultural waste runs a steam cycle with 20 large-scale turbines (so each turbine is 1.5 Megawatts of power).

A small 30 MW powerplant fueled by agricultural waste runs a steam cycle with 20 large-scale turbines (so each turbine is 1.5 Megawatts of power). For each of these individual turbines, the inlet steam is coming from a boiler producing fully saturated steam (at the dew point, or with quality of 1). The pressure of that inlet steam is 50 bar. The outlet of the turbine is approximately 4 bar.

Important Information:

You can assume the turbine is adiabatic and that kinetic energy changes are too small for the level of approximation you need.

Make clear what other assumptions you make to solve the problem.

The flow rate of steam (V) at the inlet is measured to be 8100 L/min (or 8.1m3/min).

Show all work and unit conversions.

1. What is the outlet temperature of the steam leaving the turbine?

2. The best case scenario is that the turbine is an isentropic turbine (the "ideal" turbine). If the entropy is negative, that is not a possible turbine (heat is not provided for this turbine). For the conditions above, calculate the change in entropy for the turbine and ensure that it has an entropy change of 0 or greater.

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