Answer:
Georgia Tech is committed to WGAR 53566 THE ANSWER IS JELLY IS KING AND THE JELLY IS KING AND hope to improve the human condition in your community.
Explanation:
An expertly designed format for arranging, processing, accessing, and storing data is called a data structure.
Data structures come in both simple and complex forms, all of which are made to organize data for a certain use. Users find it simple to access the data they need and use it appropriately thanks to data structures. The organizing of information is framed by data structures in a way that both machines and people can better grasp. A data structure may be chosen or created in computer science and computer programming to store data in order to be used with different methods. In some circumstances, the design of the data structure and the algorithm's fundamental operations are closely related. Each data structure comprises information about the data values, relationships between the data and — in some situations — functions that can be applied to the data. For instance, in an object-oriented programming language, the data structure and its related methods are tied together as part of a class description. Although they may be designed to operate with the data structure in non-object oriented languages, these functions are not considered to be a part of the data structure. A data structure may be chosen or created in computer science and computer programming to store data in order to be used with different methods. In some circumstances, the design of the data structure and the algorithm's fundamental operations are closely related. Each data structure comprises information about the data values, relationships between the data and — in some situations — functions that can be applied to the data.
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A binary geothermal power operates on the simple Rankine cycle with isobutane as the working fluid. The isentropic efficiency of the turbine, the net power output, and the thermal efficiency of the cycle are to be determined
Assumptions :
1. Steady operating conditions exist.
2. Kinetic and potential energy changes are negligible.
Properties: The specific heat of geothermal water (
[) is taken to be 4.18 kJ/kg.ºC.
Analysis (a) We need properties of isobutane, we can obtain the properties from EES.
a. Turbine
P![P_{3} = 3.25mPa = (3.25*1000) kPa\\= 3250kPa\\from the EES TABLE\\h_{3} = 761.54 kJ/kg\\s_{3} = 2.5457 kJ/kg\\P_{4} = 410kPa\\\\s_{4} = s_{3} \\h_{4s} = 470.40kJ/kg\\\\T_{4} = 179.5^{0} C\\\\h_{4} = 689.74 kJ/KG\\\\ The isentropic efficiency, n_{T} = \frac{h_{3}-h_{4} }{h_{3}- h_{4s} }](https://tex.z-dn.net/?f=P_%7B3%7D%20%3D%203.25mPa%20%3D%20%283.25%2A1000%29%20kPa%5C%5C%3D%203250kPa%5C%5Cfrom%20the%20EES%20TABLE%5C%5Ch_%7B3%7D%20%3D%20761.54%20kJ%2Fkg%5C%5Cs_%7B3%7D%20%3D%202.5457%20kJ%2Fkg%5C%5CP_%7B4%7D%20%3D%20410kPa%5C%5C%5C%5Cs_%7B4%7D%20%3D%20s_%7B3%7D%20%5C%5Ch_%7B4s%7D%20%3D%20470.40kJ%2Fkg%5C%5C%5C%5CT_%7B4%7D%20%3D%20179.5%5E%7B0%7D%20C%5C%5C%5C%5Ch_%7B4%7D%20%3D%20689.74%20kJ%2FKG%5C%5C%5C%5C%20The%20%20isentropic%20%20efficiency%2C%20n_%7BT%7D%20%3D%20%5Cfrac%7Bh_%7B3%7D-h_%7B4%7D%20%20%7D%7Bh_%7B3%7D-%20h_%7B4s%7D%20%7D)
=![=\frac{761.54-689.74}{761.54-670.40} \\=\frac{71.8}{91.14} \\=0.788](https://tex.z-dn.net/?f=%3D%5Cfrac%7B761.54-689.74%7D%7B761.54-670.40%7D%20%5C%5C%3D%5Cfrac%7B71.8%7D%7B91.14%7D%20%5C%5C%3D0.788)
b. Pump
![h_{1} = h_{f} @ 410kPa = 273.01kJ/kg\\v_{1} = v_{f} @ 410kPa = 0.001842 m^{3}/kgw_{p,in} = \frac{v_{1}(P_{2}-P_{1}) }{n_{p} } \\\\= \frac{0.01842(3250-410)}{0.9} \\\\ =5.81kJ/kg\\h_{2} =h_{1} + w_{p,in}\\ = 273.01+5.81\\ = 278.82 kJ/kg\\\\w_{T,out} = m^{.} (h_{3} -h_{4} )\\=(305.6)(761.54-689.74)\\=305.6(71.8)\\=21,942kW\\\\](https://tex.z-dn.net/?f=h_%7B1%7D%20%3D%20h_%7Bf%7D%20%40%20410kPa%20%3D%20273.01kJ%2Fkg%5C%5Cv_%7B1%7D%20%3D%20v_%7Bf%7D%20%40%20410kPa%20%3D%200.001842%20m%5E%7B3%7D%2Fkgw_%7Bp%2Cin%7D%20%3D%20%20%5Cfrac%7Bv_%7B1%7D%28P_%7B2%7D-P_%7B1%7D%29%20%20%20%7D%7Bn_%7Bp%7D%20%7D%20%5C%5C%5C%5C%3D%20%5Cfrac%7B0.01842%283250-410%29%7D%7B0.9%7D%20%5C%5C%5C%5C%20%3D5.81kJ%2Fkg%5C%5Ch_%7B2%7D%20%3Dh_%7B1%7D%20%2B%20w_%7Bp%2Cin%7D%5C%5C%20%20%20%20%20%20%20%20%20%20%3D%20273.01%2B5.81%5C%5C%20%20%20%20%20%20%20%20%20%20%20%3D%20278.82%20kJ%2Fkg%5C%5C%5C%5Cw_%7BT%2Cout%7D%20%3D%20m%5E%7B.%7D%20%20%28h_%7B3%7D%20-h_%7B4%7D%20%29%5C%5C%3D%28305.6%29%28761.54-689.74%29%5C%5C%3D305.6%2871.8%29%5C%5C%3D21%2C942kW%5C%5C%5C%5C)
![W^{.} _ {P,in} = m^{.} (h_{2} -h_{1}) \\=m^{.} w_{p,in \\=305.6(5.81)\\\\=1,777kW\\W^{.} _{net} = W^{.} _{T, out} - W^{.} _{P,in} \\= 21,942-1,777\\=20,166 kW\\\\HEAT EXCHANGER\\\\Q_{in} = m^{.} _{geo} c_{geo} (T_{in-T_{out} } )\\=555.9(4.18)(160-90)\\=162.656kW\\](https://tex.z-dn.net/?f=W%5E%7B.%7D%20_%20%7BP%2Cin%7D%20%3D%20m%5E%7B.%7D%20%28h_%7B2%7D%20-h_%7B1%7D%29%20%5C%5C%3Dm%5E%7B.%7D%20%20w_%7Bp%2Cin%20%5C%5C%3D305.6%285.81%29%5C%5C%5C%5C%3D1%2C777kW%5C%5CW%5E%7B.%7D%20%20_%7Bnet%7D%20%3D%20W%5E%7B.%7D%20_%7BT%2C%20out%7D%20-%20W%5E%7B.%7D%20%20_%7BP%2Cin%7D%20%5C%5C%3D%2021%2C942-1%2C777%5C%5C%3D20%2C166%20kW%5C%5C%5C%5CHEAT%20EXCHANGER%5C%5C%5C%5CQ_%7Bin%7D%20%3D%20m%5E%7B.%7D%20_%7Bgeo%7D%20c_%7Bgeo%7D%20%28T_%7Bin-T_%7Bout%7D%20%7D%20%29%5C%5C%3D555.9%284.18%29%28160-90%29%5C%5C%3D162.656kW%5C%5C)
c. ![The thermal efficiency of the cycle n_{th} =\frac{W^{.} _{net} }{Q^{._{in} } } \\\\= \frac{20,166}{162,656} \\=0.124\\=12.4%](https://tex.z-dn.net/?f=The%20thermal%20efficiency%20of%20the%20cycle%20%20n_%7Bth%7D%20%20%3D%5Cfrac%7BW%5E%7B.%7D%20_%7Bnet%7D%20%7D%7BQ%5E%7B._%7Bin%7D%20%7D%20%7D%20%5C%5C%5C%5C%3D%20%5Cfrac%7B20%2C166%7D%7B162%2C656%7D%20%5C%5C%3D0.124%5C%5C%3D12.4%25)
Answer:
True
Explanation:
By definition of steady flow we have
![\frac{\partial f(x,y,z,t) }{\partial t}=0](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpartial%20f%28x%2Cy%2Cz%2Ct%29%20%7D%7B%5Cpartial%20t%7D%3D0)
where f(x,y,z,t) is any property of the system under consideration
=> f(x,y,z,t) = constant
Answer:
Kindly follow the steps as shown below.
Explanation: