Steam enters an adiabatic turbine at 6 MPa, 600°C, and 80 m/s and leaves at 50 kPa, 100°C, and 140 m/s. If the power output of the turbine is 5 MW, determine (a) the reversible power output and (b) the second-law efficiency of the turbine. Assume the surroundings to be at 25°C.

Answers

Answer 1

Answer:

(a) the reversible power output of turbine is 5810 kw

(b) The second-law efficiency of he turbine = 86.05%

Explanation:

In state 1: the steam has a pressure of 6 MPa and 600°C. Obtain the enthalpy and entropy at this state.

h1 = 3658 kJ/kg s1=7.167 kJ/kgK

In state 2: the steam has a pressure of 50 kPa and 100°C. Obtain the enthalpy and entropy at this state

h2 = 2682kl/kg S2= 7.694 kJ/kg

Assuming that the energy balance equation given  

Wout=m [h1-h2+(v1²-v2²) /2]

Let

W =5 MW

V1= 80 m/s  V2= 140 m/s

h1 = 3658kJ/kg  h2 = 2682 kJ/kg

∴5 MW x1000 kW/ 1 MW =m [(3658-2682)+ ((80m/s)²-(140m/s)²)/2](1N /1kg m/ s²) *(1KJ/1000 Nm)

m = 5.158kg/s

Consider the energy balance equation given  

Wrev,out =Wout-mT0(s1-s2)

Substitute Wout =5 MW m = 5.158kg/s 7

s1=  7.167 kJ/kg-K            s2= 7.694kJ/kg-K and 25°C .

Wrev,out=(5 MW x 1000 kW /1 MW) -5.158x(273+25) Kx(7.167-7.694)

= 5810 kW

(a) Therefore, the reversible power output of turbine is 5810 kw.

The given values of quantities were substituted and the reversible power output are calculated.

(b) Calculating the second law efficiency of the turbine:  

η=Wout/W rev,out

Let Wout =  5 MW and Wrev,out = 5810 kW  

η=(5 MW x 1000 kW)/(1 MW *5810)  

η= 86.05%


Related Questions

Draw a sinusoidal signal and illustrate how quantization and sampling is handled by
using relevant grids.

Answers

Answer: Your mums gay

Explanation: Your mums gay

Imagine a cantilever beam fixed at one end with a mass = m and a length = L. If this beam is subject to an inertial force and a uniformly distributed load = w, what is the moment present at a length of L/4?

Answers

Answer:

jsow

hfhcffnbxhdhdhdhdhdhdddhdhdgdhdhdhdhdhdhhhdhdjsksmalalaksjdhfgrgubfghhhhhhh

Explanation:

j

grudb

A signalized intersection has a sum of critical flow ratios of 0.72 and a total cycle lost time of 12 seconds. Assuming a critical intersection v/c ration of 0.9, calculate the minimum necessary cycle length.

Answers

Answer:

[tex]T_o=82.1sec[/tex]

Explanation:

From the question we are told that:

Lost Time [tex]t=12secs[/tex]

Sum of critical flow ratios [tex]X=0.72[/tex]

Generally the Webster Method's equation for Optimum cycle time is is mathematically given by

 [tex]T_o=\frac{1.5t+5}{1-x}[/tex]

 [tex]T_o=\frac{1.5*12+5}{1-0.72}[/tex]

 [tex]T_o=82.1sec[/tex]

how does load transfer of space needle​

Answers

Answer:

The Space Needle is a cut away with minimal residual deflection due to load transfer.

Do you know who Candice is

Answers

Answer: Can these nuts fit in your mouth?

Explanation:

im just here for the points >:)

ow Pass Filter Design 0.0/5.0 points (graded) Determine the transfer function H(s) for a low pass filter with the following characteristics: a cutoff frequency of 100 kHz a stopband attenuation rate of 40 dB/decade. a nominal passband gain of 20 dB, which drops to 14 dB at the cutoff frequency Write the formula for H(s) that satisfies these requirements:

Answers

Answer:

H(s) = 20 / [ 1 + s / 10^5 ]^2

Explanation:

Given data:

cutoff frequency = 100 kHz

stopband attenuation rate = 40 dB/decade

nominal passband gain = 20 dB

new nominal passband gain at cutoff = 14 dB

Represent the transfer function H(s)

The attenuation rate show that there are two(2) poles

H(s) = k / [ 1 + s/Wc ]^2  ----- ( 1 )

where : Wc = 100 kHz = 10^5 Hz , K = 20 log k = 20 dB ∴ k = 20

Input values into equation 1

H(s) = 20 / [ 1 + s / 10^5 ]^2

A 0.82-in-diameter aluminum rod is 5.5 ft long and carries a load of 3000 lbf. Find the tensile stress, the total deformation, the unit strains, and the change in the rod diameter.

Answers

Answer:

Tensile stress = 0.1855Kpsi

Total deformation = 0.0012243 in

Unit strain =  1.855 *10^-5   or  18.55μ

Change in the rod diameter = 5.02 * 10^ -6 in

Explanation:

Data given: D= 0.82 in

                   L = 5.5 ft * 12 = 66 in

load (p) = 3000 (Ibf) /32.174 = 93.243 Ibm

Area = (π/4) D² = (π/4) 0.82²  = 0.502655 in²

∴ Tensile stress Rt = P/A = 93.243/0.502655 = 185.50099 pound/in²

                           Rt = 0.1855 Kpsi

∴ Total deformation = PL / AE = Rt * L/ Eal

                                 = 0.1855 * 10³  * 66 / 10000 * 10³

                                 = 0.0012243 in

∴the unit strains = total deformation / L = 0.0012243/ 66

                          =0.00001855 = 1.855 *10^-5

                         = 18.55μ

∴ Change in rod   Δd/ d = μ ΔL/L

                           = (0.33) 1.855 *10^-5 * 0.82

                           = 5.02 * 10^ -6 in

A designer needs to select the material for a plate under tensile stress. Assuming that the applied tensile force is 13,000 lb and the area under the stress is 4 square inches, determine which material should be selected to assure safety. Assume safety factor is 2. Material A: Ultimate Tensile stress is 8000 lb/in2Material B: Ultimate Tensile stress is 5500 lb/in2

Answers

Wow Muy bien no se que dice pero bien.
Other Questions
You work at Happy Joe's family restaurant and want to see if customer meal satisfaction and gender are related to one another. You take a sample of customers and ask them if they were satisfied with their meal and note their gender. To determine if Satisfaction and Gender are dependent, what are the appropriate hypotheses Is the product of two prime numbers a prime number or a composite number? difference between action potential of sa node and contractile myocytes What is the difference between conjugate acid-base pair? a. a H atom. c. a mole water b. a H+ ion d. a OH ion The sum of four consecutive odd integers is 72. Write an equation to model this situation, and find the values of the four integers. Why do all proteins given a negative charge prior to electrophoresis? To which ethical framework does the following argument MOST CLOSELY apply? The action done by Mr. and Mrs. Nimitz, was done out of love, faith, and the close relationship they shared and the fact that neither wanted to continue without the other. This action was morally correct because it was done out of love and faith because of the close nature of these two people's relationship.a) NATURAL LAWb) CARE/FEMINISTc) UTILITARIANISMd) DIVINE COMMAND Why is it often necessary for teens to seek advice or accept feedback regarding healthcare decisions? Check all that apply. We know that 1 1 r = [infinity] n = 0 rn has interval of convergence (1, 1). This means the series converges for |r| < 1. Therefore, the series f(x) = 1 2 + x = [infinity] n = 0 (1)n xn 2n + 1 will converge when x 2 < 1. Thus, what is the interval of convergence for f(x)? (Enter your answer using interval notation.) The angle of elevation of the top of the tower from a point on the ground is 30 degree, If the height of the tower is 40 space m e t e r s, then the distance between the tower and the point is Difference between plants in a tropical location, a temperate location, or the tundra? An investor who commits a sizable portion of her portfolio to long-term AAA-rated bonds would be exposing herself to In a nonfiction work, which text feature lists key names, terms, and topics alphabetically with page numbers? A) Example Page B) Glossary C) Index D) Table of Contents describe five ways in which contract management might adds value after the contract award stage of the sourcing process. Using the table above. Which statement below is true? what is the answer of this questoin 2c-3b+6+7b-2b+11? (05.05 HC)The four points (2, 5), (2, 1), (5, 1), and (3, 5) are the vertices of a polygon. What is the area, in square units, of this polygon? 27 units2 33 units2 36 units2 51 units2 Marcelino Co.'s March 31 inventory of raw materials is $80,000. Raw materials purchases in April are $500,000, and factory payroll cost in April is $363,000. Overhead costs incurred in April are indirect materials, $50,000; Indirect labor, $23,000; factory rent $32,000; factory utilities, $19,000; and factory equipment depreciation, $51,000. The predetermined overhead rate is 50% of direct labor cost. Job 306 is sold for $635,000 cahs in April.Costs of the three jobs worked on in April follow: Job 307 Job 307 Job 308Balances on March 31 Direct materials $29,000 $35,000 Direct labor 20,000 18,000 Applied overhead 10,000 9,000 Costs during April Direct materials 135,000 220,000 $100,000Direct labor 85,000 150,000 105,000Applied overhead Status on April 30 Finished (sold) Finished (unsold) In processa. Materials purchases on creditb. Direct materials used in productionc. Direct labor paid and assigned to Factory Overheadd. Indirect labor paid and assigned to Factory Overheade. Overhead costs applied to Work In Process Inventoryf. Actual overhead costs incurred, including indirect materials. (Factory rent and utilities are paid in cash)g. Transfer of Jobs 306 and 307 to Finished Goods Inventoryh. Cost of goods sold for Job 306i. Revenue from the sale of Job 306j. Assignment of any underapplied or overapplied overhead to the Cost of Goods Sold account, (the amount is not material).Required:Prepare journal entries for the month of April to record the above transactions. find the slope and y-intercept of line 3x +y -9=0 Describe the sliding filament model of muscle contraction. What role do acetylcholine and acetylcholinesterase play in muscle contractions