1- First law transient: A water storage tank initially contains 400 m of water. The average daily usage is 40 m. If water is added to the tank at an average rate of 20[exp(-t/20)] m³ per day, where t is time in days, for how many days will the tank contain water? 2- First law steady state: A simple vapor power

Elements Of Electromagnetics
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1- First law transient: A water storage tank initially contains 400 m³ of water. The average daily usage is
40 m³. If water is added to the tank at an average rate of 20[exp(-t/20)] m³ per day, where t is time in
days, for how many days will the tank contain water?
2- First law steady state: A simple vapor power
plant operating at steady state with water
circulating through the components is shown. The
Pi= 100 bar
T; = 520°C
Power out
Turbine
mass flow rate of the water is 109 kg/s. Kinetic
and potential energy effects are negligible as are
all stray heat transfers. Determine (a) the thermal
efficiency, (b) the mass flow rate of the cooling
water passing through the condenser, in kg/s.
P=0.08 bar
Steam
X2= 90%
+2
Cooling
water in at 20°C
generator
Condenser
4 P= 100 bar
T = 43°C
Cooling
water out at 35°C
Pump
P=0.08 bar
Saturated liquid
Power
in
3- First law steady state: Steam enters a well-insulated turbine operating at steady state with negligible
velocity at 4 MPa, 320°C. The steam expands to an exit pressure of 0.07 MPa and a velocity of 90 m/s.
The diameter of the exit is 0.6 m. Neglecting potential energy effects, plot the power developed by the
turbine, in kW, versus the steam quality at the turbine exit ranging from 0.9 to 1.0.
4- Second law steady state: Steam at 5 MPa and 600°C enters an insulated turbine operating at steady
state and exits as saturated vapor at 50 kPa. Kinetic and potential energy effects are negligible.
Determine (a) the work developed by the turbine, in kJ per kg of steam flowing through the turbine. (b)
the isentropic turbine efficiency.
5- Second law steady state: An electrically-driven pump operating at steady state draws water from a
pond at a pressure of 1 bar and a rate of 40 kg/s and delivers the water at a pressure of 4 bar. There is
no significant heat transfer with the surroundings, and changes in kinetic and potential energy can be
neglected. The isentropic pump efficiency is 80%. Evaluating electricity at 8 cents/kWh estimate the
hourly cost of running the pump.
Transcribed Image Text:1- First law transient: A water storage tank initially contains 400 m³ of water. The average daily usage is 40 m³. If water is added to the tank at an average rate of 20[exp(-t/20)] m³ per day, where t is time in days, for how many days will the tank contain water? 2- First law steady state: A simple vapor power plant operating at steady state with water circulating through the components is shown. The Pi= 100 bar T; = 520°C Power out Turbine mass flow rate of the water is 109 kg/s. Kinetic and potential energy effects are negligible as are all stray heat transfers. Determine (a) the thermal efficiency, (b) the mass flow rate of the cooling water passing through the condenser, in kg/s. P=0.08 bar Steam X2= 90% +2 Cooling water in at 20°C generator Condenser 4 P= 100 bar T = 43°C Cooling water out at 35°C Pump P=0.08 bar Saturated liquid Power in 3- First law steady state: Steam enters a well-insulated turbine operating at steady state with negligible velocity at 4 MPa, 320°C. The steam expands to an exit pressure of 0.07 MPa and a velocity of 90 m/s. The diameter of the exit is 0.6 m. Neglecting potential energy effects, plot the power developed by the turbine, in kW, versus the steam quality at the turbine exit ranging from 0.9 to 1.0. 4- Second law steady state: Steam at 5 MPa and 600°C enters an insulated turbine operating at steady state and exits as saturated vapor at 50 kPa. Kinetic and potential energy effects are negligible. Determine (a) the work developed by the turbine, in kJ per kg of steam flowing through the turbine. (b) the isentropic turbine efficiency. 5- Second law steady state: An electrically-driven pump operating at steady state draws water from a pond at a pressure of 1 bar and a rate of 40 kg/s and delivers the water at a pressure of 4 bar. There is no significant heat transfer with the surroundings, and changes in kinetic and potential energy can be neglected. The isentropic pump efficiency is 80%. Evaluating electricity at 8 cents/kWh estimate the hourly cost of running the pump.
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