Water is the working fluid in a regenerative Rankine cycle with one open feedwater heater. Steam enters the first-stage turbine at 100 bar, 560°C and expands to the pressure of 15 bar, where some of the steam is extracted and diverted to the feedwater heater operating at the same pressure and the remainder expands through the second-stage turbine to the condenser pressure of 0.1 bar. Saturated liquid exits the condenser at 0.1 bar and the feedwater heater at 15 bar. The isentropic turbine efficiency of the first-stage is 95% and the second-stage is 85%. The isentropic pump efficiency of the first pump is 90%, and the second pump acts ideally. The net power developed is 210 MW. Questions: Determine: (a) the mass flow rate of the steam extracted and diverted to the feedwater heater, in kg/s (b) the rate of heat transfer rejected from the condenser, in MW

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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Water is the working fluid in a regenerative Rankine cycle with one open feedwater heater.
Steam enters the first-stage turbine at 100 bar, 560°C and expands to the pressure of 15
bar, where some of the steam is extracted and diverted to the feedwater heater operating
at the same pressure and the remainder expands through the second-stage turbine to the
condenser pressure of 0.1 bar. Saturated liquid exits the condenser at 0.1 bar and the
feedwater heater at 15 bar. The isentropic turbine efficiency of the first-stage is 95% and
the second-stage is 85%. The isentropic pump efficiency of the first pump is 90%, and the
second pump acts ideally. The net power developed is 210 MW.
Questions:
Determine:
(a) the mass flow rate of the steam extracted and diverted to the feedwater heater, in
kg/s
(b) the rate of heat transfer rejected from the condenser, in MW

Expert Solution
Step 1

The T-s diagram of the given system is

Mechanical Engineering homework question answer, step 1, image 1

Given data,

Isentropic turbine efficiency of first stage, ηT1=0.95

Isentropic turbine efficiency of second stage, ηT2=0.85

Isentropic pump efficiency of first stage, ηP1=0.9

Second pump is ideal.

Net power developed, P = 210 MW

To determine:-

a) Mass flow rate of steam extracted and diverted to the feedwater heater

b) Rate of heat transfer rejected from the condenser

steps

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