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Question: A steam plant operates with an initial pressure at 20 bar and temperature 400°C, and exhausts to a heating system at 2 bar. The condensate from the heating system is returned to the boiler plant at 65°C, and the heating system utilizes for its intended purpose 90% of the energy transferred from the steam it receives. The turbine efficiency is 70%. (a) What fraction of the energy supplied to the steam plant serves a useful purpose? – Free Chegg Question Answer

A steam plant operates with an initial pressure at 20 bar and temperature
400°C, and exhausts to a heating system at 2 bar. The condensate from the
heating system is returned to the boiler plant at 65°C, and the heating
system utilizes for its intended purpose 90% of the energy transferred from
the steam it receives. The turbine efficiency is 70%. (a) What fraction of the
energy supplied to the steam plant serves a useful purpose?

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Answer:

Answer


In this problem, we can use the steam table to find various state properties at different points

Work done by the turbine is given by decrease in enthalpy of steam across it

work absorbed by the pump is given by an increase in enthalpy of steam across it.

Heat added is given by the rise of an enthalpy across the boiler

and heat rejected is given by decrease in enthalpy across the condenser

The TS plot of the system is as follows –

Here’s the detailed solution –

————- ANSWER —————

Therefore, 86.34 % of supplied energy will serve useful purpose in the form of heat from heat exchanger and work output from turbine


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