31 kg/s of water enters a turbine at 4 MPa and 500°C (state 1) and leaves the turbine at 10 kPa (state 2). After leaving the turbine, the hot water (that is used to generate power) is condensed isobarically in a condenser (heat exchanger) to 40°C (state 3). The energy from the hot water is absorbed by cold liquid water that enters the condenser at 20°C (state 5). a) If the power output of the turbine is 30 MW, what is the state of the water at the outlet of the turbine? If it is a saturated mixture, calculate its quality. P₁ = 4 MPa T₁ = 500°C 1 Turbine Wout

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Hi, can you only help with part a of the following?
31 kg/s of water enters a turbine at 4 MPa and 500°C (state 1) and leaves the turbine at 10 kPa (state 2).
After leaving the turbine, the hot water (that is used to generate power) is condensed isobarically in a
condenser (heat exchanger) to 40°C (state 3). The energy from the hot water is absorbed by cold liquid
water that enters the condenser at 20°C (state 5).
a) If the power output of the turbine is 30 MW, what is the
state of the water at the outlet of the turbine? If it is a
saturated mixture, calculate its quality.
b) What is the rate of heat transfer from the hot process water
(that is used to generate power) to the cold cooling water?
c) What is the mass flow rate of the cold cooling water? You
may treat the cooling water as having a constant specific
heat at an appropriate average temperature. There is
negligible pressure drop on the cooling water side of the
heat exchanger. Show that you can make this calculation 2
different ways:
i.
ii.
by considering just the cooling water side of the
condenser as your control volume.
by considering the entire condenser as your control
volume.
P₁ = 4 MPa
T₁:
= 500°C
Turbine
M
T3 = 40°C
3
Wout
P₂ = 10 kPa
T5=
T6
= 20°C
= 35°C
Transcribed Image Text:31 kg/s of water enters a turbine at 4 MPa and 500°C (state 1) and leaves the turbine at 10 kPa (state 2). After leaving the turbine, the hot water (that is used to generate power) is condensed isobarically in a condenser (heat exchanger) to 40°C (state 3). The energy from the hot water is absorbed by cold liquid water that enters the condenser at 20°C (state 5). a) If the power output of the turbine is 30 MW, what is the state of the water at the outlet of the turbine? If it is a saturated mixture, calculate its quality. b) What is the rate of heat transfer from the hot process water (that is used to generate power) to the cold cooling water? c) What is the mass flow rate of the cold cooling water? You may treat the cooling water as having a constant specific heat at an appropriate average temperature. There is negligible pressure drop on the cooling water side of the heat exchanger. Show that you can make this calculation 2 different ways: i. ii. by considering just the cooling water side of the condenser as your control volume. by considering the entire condenser as your control volume. P₁ = 4 MPa T₁: = 500°C Turbine M T3 = 40°C 3 Wout P₂ = 10 kPa T5= T6 = 20°C = 35°C
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