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(Solved): Create and solve your own question by designing a problem. The problem you are designing has to ...



Create and solve your own question by designing a problem. • The problem you are designing has to be related to power cycles, refrigerators or heat pumps. • The problem you are designing should be related to exergy analysis. • The question you have prepared should have at least three sub-questions. • All solution stages of the problem should be clearly indicated and the assumtions made should be stated. (3rd Question Scoring = (Design and Presentation of the Problem + Score Obtained on the Solution of the Problem) / The Originality Index of the Designed Problem)). (Note: Originality index = 1 in original designs). (3rd Question Scoring = (Design and Presentation of the Problem + Score on the Solution of the Problem) / Originality index)). (Note: Originality index = 1 in original designs).


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Problem: Exergy Analysis of a Rankine Cycle Power Plant

A Rankine cycle power plant runs with steam as the working fluid. The steam is produced in a boiler at high pressure and temperature, expanded in a turbine, and condensed in a condenser before being brought back to the boiler.

Let's take some of the scenarios:

The Rankine cycle is ideal and operates in a steady state.
The working fluid behaves as an ideal gas.
The pump and turbine are adiabatic and reversible.
There are no pressure drops in the condenser and boiler.

Let's take standardized data:

Boiler pressure (high pressure):   
Turbine inlet pressure:   
Turbine inlet temperature:   
Condenser pressure:   
Pump inlet pressure:   
The mass flow rate of steam:   
Specific heat capacity of steam:   
Specific heat capacity of water:   

Sub-Question 1: Determine the specific enthalpies at each stage of the Rankine cycle.

Solution:
a) State 1 (boiler exit):



Using the steam tables or property relations for water and steam, calculate the enthalpy at state 1 (  ) given the pressure    and considering the fluid is saturated.



b) State 2 (turbine inlet):


Using the steam tables or property relations for water and steam, find the enthalpy at state 2 (  ) given the pressure    and temperature   .



c) State 3 (condenser exit):


Since the condenser pressure    is lower than the saturation pressure at state 3, the steam will be in the subcooled region. Calculate the enthalpy at state 3 (  ) using the specific heat capacity of water (  ) and the temperature at state 3.


d) State 4 (pump exit):


Since the pump is adiabatic and reversible, the specific enthalpy at state 4 (  ) will be equivalent to state 3.


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