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QUESTIONS A power plant operating with the rankine cycle is established to obtain electrical energy from a geothermal well. It is known that the maximum temperature that geothermal water can reach is 380 C. It is accepted that the efficiency of the geothermal boiler providing heat to the cycle is 100% (ideal), and the isentropic efficiency of the turbine and pump is 87%. At the turbine inlet, the steam will be saturated steam and the outlet pressure will be 150 kPa. Since the net power obtained from this facility is 3 MW; a) Draw the operating diagram of the facility. b) Show the cycle in the T-S diagram. c) Find the thermal efficiency of the plant. d) Find the steam rate used in the facility. In the facility at the first question, an efficiency increase study will be carried out with a closed type reheater by taking steam from 70% of the turbine inlet pressure. Since 15% of the steam is drawn as intermediate steam; a) Draw the operating diagram of the facility. b) Show the cycle in the T-S diagram. c) Find the thermal efficiency of the plant. d) Find the net power output.

          QUESTIONS
A power plant operating with the rankine cycle is established
to obtain electrical energy from a geothermal well. It is known
that the maximum temperature that geothermal water can
reach is 380 C. It is accepted that the efficiency of the
geothermal boiler providing heat to the cycle is 100% (ideal),
and the isentropic efficiency of the turbine and pump is 87%.
At the turbine inlet, the steam will be saturated steam and
the outlet pressure will be 150 kPa. Since the net power
obtained from this facility is 3 MW;
a) Draw the operating diagram of the facility.
b) Show the cycle in the T-S diagram.
c) Find the thermal efficiency of the plant.
d) Find the steam rate used in the facility.
In the facility at the first question, an efficiency increase study
will be carried out with a closed type reheater by taking
steam from 70% of the turbine inlet pressure. Since 15% of
the steam is drawn as intermediate steam;
a) Draw the operating diagram of the facility.
b) Show the cycle in the T-S diagram.
c) Find the thermal efficiency of the plant.
d) Find the net power output.
        
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QUESTIONS
A power plant operating with the rankine cycle is established
to obtain electrical energy from a geothermal well. It is known
that the maximum temperature that geothermal water can
reach is 380 C. It is accepted that the efficiency of the
geothermal boiler providing heat to the cycle is 100% (ideal),
and the isentropic efficiency of the turbine and pump is 87%.
At the turbine inlet, the steam will be saturated steam and
the outlet pressure will be 150 kPa. Since the net power
obtained from this facility is 3 MW;
a) Draw the operating diagram of the facility.
b) Show the cycle in the T-S diagram.
c) Find the thermal efficiency of the plant.
d) Find the steam rate used in the facility.
In the facility at the first question, an efficiency increase study
will be carried out with a closed type reheater by taking
steam from 70% of the turbine inlet pressure. Since 15% of
the steam is drawn as intermediate steam;
a) Draw the operating diagram of the facility.
b) Show the cycle in the T-S diagram.
c) Find the thermal efficiency of the plant.
d) Find the net power output.

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University Physics with Modern Physics
University Physics with Modern Physics
Hugh D. Young 14th Edition
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A power plant operating with the rankine cycle is established to obtain electrical energy from a geothermal well. It is known that the maximum temperature that geothermal water can reach is 380 C. It is accepted that the efficiency of the geothermal boiler providing heat to the cycle is 100% (ideal), and the isentropic efficiency of the turbine and pump is 87%. At the turbine inlet, the steam will be saturated steam and the outlet pressure will be 150 kPa. Since the net power obtained from this facility is 3 MW;a) Draw the operating diagram of the facility.b) Show the cycle in the T-S diagram.c) Find the thermal efficiency of the plant.d) Find the steam rate used in the facility. In the facility at the first question, an efficiency increase study will be carried out with a closed type reheater by taking steam from 70% of the turbine inlet pressure. Since 15% of the steam is drawn as intermediate steam; a) Draw the operating diagram of the facility.b) Show the cycle in the T-S diagram.c) Find the thermal efficiency of the plant.d) Find the net power output. QUESTIONS A power plant operating with the rankine cycle is established to obtain electrical energy from a geothermal well.It is known that the maximum temperature that geothermal water can reach is 380 C.It is accepted that the efficiency of the geothermal boiler providing heat to the cycle is 100%(ideal) and the isentropic efficiency of the turbine and pump is 87% At the turbine inlet,the steam will be saturated steam and the outlet pressure will be 150 kPa.Since the net power obtained from this facility is 3 MW; aDraw the operating diagram of the facility b)Show the cycle in the T-S diagram. c)Find the thermal efficiency of the plant d)Find the steam rate used in the facility In the facility at the first question, an efficiency increase study will be carried out with a closed type reheater by taking steam from 70%of the turbine inlet pressure.Since 15% of the steam is drawn as intermediate steam; a)Draw the operating diagram of the facility b) Show the cycle in the T-S diagram. c Find the thermal efficiency of the plant. dFind the net power output
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1- Determine the efficiency of a Rankine cycle using steam as the working fluid in which the condenser pressure is 10 kPa. The boiler pressure is 2 MPa. The steam leaves the boiler as saturated vapour. (̗ = 30.3 %) 2- In Rankine cycle steam leaves the boiler and enters the turbine at 4 MPa, 400 °C. The condenser pressure is 10 kPa. Determine the cycle efficiency. (̗ = 35.3 %) 3- A steam power plant operates on a Rankine cycle. The steam leaves the boiler at 4 MPa and 400 °C. The condenser pressure is 10 kPa. The efficiency of the turbine is 86%. Determine the thermal efficiency of the cycle. 4- Consider a reheat cycle utilizing steam. Steam leaves the boiler and enters the turbine at 4 MPa, 400 °C. After expansion in the turbine to 400 kPa, the steam is reheated to 400 °C and then expanded in the low pressure turbine to 10 kPa. Determine the cycle efficiency. (̗ = 35.9 %) 5- Consider a regenerative cycle using steam as working fluid. Steam leaves the boiler and enters the turbine at 4 MPa, 400 °C. After expansion to 400 kPa, some of the steam is extracted from the turbine for the purpose of heating the feedwater in an open feedwater heater. The pressure in the feedwater heater is 400 kPa and the water leaving it is saturated liquid at 400 kPa. The steam not extracted expands to 10 kPa. Determine the cycle efficiency. (̗ = 37.5 %) 6- Consider a simple steam power plant with water mass flow rate of 109 kg/s. Steam enters the turbine at 520 °C, 100 bars and leaves at 0.08 bar, 90 % quality. Steam leaves the condenser as saturated liquid at 0.08 bar. Cooling water from cooling tower enters the condenser at 20 °C and leaves at 35 °C. Determine the plant thermal efficiency and the mass flow rate of the cooling water passing through the condenser. 7- Steam is the working fluid in power plant follows an ideal Rankine cycle. Saturated vapor enters the turbine at 8.0 MPa and saturated liquid exits from the condenser at a pressure of 0.008 MPa. The net power output of the cycle is 100 MW. Determine: the cycle thermal efficiency, the mass flow rate of the steam, the rate of heat transfer in the steam generator, the rate of heat transfer, from the condensing steam in the condenser, the mass flow rate of the condenser cooling water from the cooling tower, if cooling water enters the condenser at 15 °C and exits at 35 °C. (37.1%, 3.77 *105 kg/h, 269.77 MW, 169.75 MW, 7.3 *106 kg/h)

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A boiler takes in pressurized water at 187.96°C(Psat = 1.2MPa) and 13 MPa (stream 1) to produce 570°C steam (Stream 2) at constant pressure. The steam produced from this boiler is to be split such that they enter two separate turbines. The first turbine discharges the steam to 1.2MPa and 230°C (stream 3), while the second turbine which produces work at a rate of 1989 kW discharges 90% quality steam at 22kPa (stream 4). The discharge of the second turbine is then fed to a condenser where all the steam is fully condensed (stream 5) at constant pressure. This condensed stream is fed to a pump where the pressure is increased to 1.2 MPa (stream 6) at constant temperature. The first turbine discharge (stream 3) and the pumped liquid (stream 6) are then mixed in a ratio such that the product of the mixer is saturated liquid at 1.2MPa (stream 7) (assume no heat losses in the mixer). This saturated liquid from the mixer is fed to another pump to increase the pressure back to 15MPa which is then fed back to the boiler to complete the cycle. For this problem, assume that there are negligible kinetic energy changes. A. Draw the block flow diagram of the process. B. Determine the specific enthalpies of all streams C. Calculate the mass flowrate of steam flowing through the second turbine D. Calculate the mass flowrate of water flowing through the boiler E. Calculate the work produced by the first turbine. F. Calculate the rate of heat added to the boiler in MW. G. Calculate the rate of heat removal of the condenser in MW.

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An ideal Rankine steam cycle modified with two closed feedwater heaters is shown below. The power cycle receives $75 \mathrm{kg} / \mathrm{s}$ of steam at the high pressure inlet to the turbine. The feedwater heater exit states for the boiler feedwater and the condensed steam are the normally assumed ideal states. The fraction of mass entering the high pressure turbine at state 5 that is extracted for the feedwater heater operating at $1400 \mathrm{kPa}$ is $y=0.1446 .$ Use the data provided in the tables given below to (a) Sketch the $T$ -s diagram for the ideal cycle. (b) Determine the fraction of mass, $z$, that is extracted for the closed feedwater heater operating at the $245 \mathrm{kPa}$ extraction pressure. (c) Determine the required cooling water flow rate, in $\mathrm{kg} / \mathrm{s}$, to keep the cooling water temperature rise in the condenser to $10^{\circ} \mathrm{C}$. Assume $c_{p}=4.18 \mathrm{kJ} / \mathrm{kg} \cdot \mathrm{K}$ for cooling water (d) Determine the net power output and the thermal efficiency of the plant.

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Transcript

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00:01 Here in this question first we can write down a given data that is at state 1 the value when the pressure is 10 kpa so value of x is equal to 0 at that time that means the value of h1 and hf is equal to 191 .81 kilojoule per kg this is for saturated pressure table and the value of s1 that is equal to sf that is 0 .649 kilojoule per kg kelvin that is for saturated pressure table now we can write in state 2 when the pressure is 2 mega pascal in which the value of s1 is equal to s2 that means 0 .64 kilojoule per kg kelvin at that time the value of h2 is equal to 194 kilojoule per kg that is for compressed water table now at state 3 at that time the stress is 2 mega pascal in which the value of x is equal to 1 so value of h3 and hg is equal to 2798 .3 kilojoule per kg that is for saturated pressure level…
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