The irreversible losses in the penstock of a hydroelectric dam are estimated to be 7 m. The elevation difference between the reservoir surface upstream of the dam and the surface of the water exiting the dam is 140 m. If the flow rate through the turbine is 4000 L/min, determine (a) the power loss due to irreversible head loss, (b) the efficiency of the piping, and (c) the electric power output if the turbine-generator efficiency is 84 percent.

Answers

Answer 1

Answer:

a) the power loss due to irreversible head loss is 4.57 kW

b) the efficiency of the piping is 95%

c) the electric power output is 72.9918 kW

Explanation:

Given the data in the question below;

Irreversible loses [tex]h_L[/tex] = 7m

Total head, H = 140 m

flow rate Q = 4000 L/min = 0.0666 m³/s

Generator efficiency n₀ = 84% = 0.84

we know that density of water is 1000 kg/m³

g = 9.81 m/s²

a) power loss due to irreversible head loss [tex]P_L[/tex] is;    

[tex]P_L[/tex] = p × Q × g × [tex]h_L[/tex]

we substitute

[tex]P_L[/tex] = 1000 × 0.0666 × 9.81 × 7

[tex]P_L[/tex] = 4573.422 W

[tex]P_L[/tex] = 4573.422 / 1000

[tex]P_L[/tex] = 4.57 kW

Therefore, the power loss due to irreversible head loss is 4.57 kW

b) the efficiency of the piping n is;

n = (Actual head / maximum head) × 100

n = (( H - [tex]h_L[/tex] ) / H) × 100

so we substitute

n = (( 140 - 7 ) / 140) × 100

n = (133/140) × 100

n = 0.95 × 100

n = 95%

Therefore, the efficiency of the piping is 95%

c) the electric power output if the turbine-generator efficiency is 84 percent;

n₀ = [tex]Power_{outpu[/tex] / [tex]power_{inpu[/tex]

[tex]Power_{outpu[/tex] = n₀ × [tex]power_{inpu[/tex]

[tex]Power_{outpu[/tex] = n₀ × ( pQg( H - [tex]h_L[/tex] ))

so we substitute

[tex]Power_{outpu[/tex] = 0.84 × ( 1000 × 0.0666 × 9.81( 140 - 7 ))

[tex]Power_{outpu[/tex] = 0.84 × 653.346( 133)

[tex]Power_{outpu[/tex] = 0.84 × 86895.018

[tex]Power_{outpu[/tex] = 72991.815 W

[tex]Power_{outpu[/tex] = 72991.815 / 1000

[tex]Power_{outpu[/tex] = 72.9918 kW

Therefore, the electric power output is 72.9918 kW


Related Questions

An interest rate of norminal 12% per year , compounded weekly is

Answers

Answer: It is  a nominal rate per year

A heat pump operates on a vapor-compression refrigeration cycle with R-134a as the working fluid. The refrigerant enters the compressor as saturated vapor at X kPa, and exits at 800 kPa and 60oC. The refrigerant leaves the condenser as saturated liquid at 800 kPa. The number of letters in your first name multiplied by 10 plus 50

Answers

Answer:

Hello your question has some missing information below are the missing information

The refrigerant enters the compressor as saturated vapor at 140kPa Determine The coefficient of performance of this heat pump

answer : 2.49

Explanation:

For  vapor-compression refrigeration cycle

P1 = P4  ; P1 = 140 kPa

P2( pressure at inlet ) = P3 ( pressure at outlet ) ; P2 = 800 kPa

From pressure table of R 134a refrigerant

h1 ( enthalpy of saturated vapor at 140kPa ) = 239.16 kJ/kg

h2 ( enthalpy of saturated liquid at P2 = 800 kPa and t = 60°C )

= 296.8kJ/kg

h3 ( enthalpy of saturated liquid at P3 = 800 kPa ) = 95.47 kJ/kg

also h4 = 95.47 kJ/kg

To determine the coefficient of performance  

Cop = ( h1 - h4 ) / ( h2 - h1 )

∴ Cop = 2.49

a) The initial moisture content of a food product is 77% (wet basis), and the critical moisture content is 30% (wet basis). If the constant drying rate in a fluidized bed dryer is 0.1 kg water removed/m2-s, determine the time required for the product to begin the falling-rate drying period. The product has a cube shape with 5-cm sides; the initial product density is 950 kg/m3.

Answers

Answer:

≈ 53 seconds

Explanation:

calculate Time required for the product to begin the falling-rate drying period

Initial moisture content =  0.77 kg water /kg of product

                                               = 3.35 kg water /kg solids

Critical moisture content = 0.3 kg water / kg product

                                         = 0.43 kg water / kg solids

∴ amount of water to be removed = 3.35 - 0.43 = 2.95kg water /kg solids

next: calculate surface are a of product during drying

= (0.05 * 0.05 ) * 6

= 0.015 m^3

Drying rate = 0.1 kg water m^2.s^-1 * 0.015 m^3 = 1.5 * 10^-3 kg water s^-1

applying product density

initial product mass = 0.11875 * 0.23 = 0.0273kg solid

hence total amount of water to removed = 2.92 * 0.0273 = 0.07972 kg

therefore : Time required for the product to begin the falling-rate drying period

= 0.07972 / 1.5 * 10^-3

= 53 seconds

other examples of joption​

Answers

Answer:

Profit from stock price gains with limited risk and lower cost than buying the stock outright.

Profit from stock price drops with limited risk and lower cost than shorting the stock.

Profit from sideways markets by selling options and generating income.

Get paid to buy stock.

Explanation:

I don’t know if you meant option but I hope this helps.

what technology has been used for building super structures​

Answers

Answer: Advanced technologixal machines

Explanation: such as big cranes, multiple workers helping creat said structure, and big bull dozers

Q5) Write C++ program to find the summation of sines of the even values that can be divided by 7 between -170 and -137.

Answers

Answer:

In C++:

#include <iostream>

#include <cmath>

using namespace std;

int main(){

 double total = 0;

 for(int i = -170; i<=-130;i++){

     if(i%2 == 0 && i%7==0){

         double angle = i*3.14159/180;

         total+=sin(angle);      }  }

 cout<<"Total: "<<total;

 return 0; }

Explanation:

This initializes the total to 0

 double total = 0;

This iterates from -170 to - 130

 for(int i = -170; i<=-130;i++){

This checks if the current number is even and is divided by 7

     if(i%2 == 0 && i%7==0){

This converts the number from degrees to radians

         double angle = i*3.14159/180;

This adds the sine of the number

         total+=sin(angle);      }  }

This prints the calculated total

 cout<<"Total: "<<total;

Other Questions
. Which detail from "The Last Dream" is not based on a historical fact? Maggy's relationship with Jake Hauptmann's arrest Charles Jr.'s death The Lindberghs' hometown Which sentence could best be used to start the second paragraph? A. Sharks are interesting in part because they don't have no bones in their bodies. B. Sharks and other fish don't ever actually sleep but have active and inactive times. C. Sharks do not generally attack people, and only about 25 species have been known to do so. D. Sharks are a fascinating fish that evolved even before the dinosaurs roamed the Earth 2. Identify four skills that you will need to actively participate in meetings. Why was Switzerland neutral through the first and Second World War solve the system by substitution...... What is the equation of the line that is parallel to the line y = 3x - 4 and passesthrough the point (4, -2)?A. Y= 3x + 2B. y= 3x - 14O C. --}xD. y = 3x + 14 2x + 3y = 2Consider the system3x + 3y = -6Describe how to solve the system by multiplying the first equation by a constant and subtracting. Whywould this method be less than ideal?(select) v the first equation by 1.5 and subtract. This would be less than ideal because you wouldintroduce (select) into the solution process.HELP ASAP DUE TONIGHT can someone please help me Why was the triangular trade system successful? Someone who's good at french help me out on my assignment please! I will award brainliest answer. It's just supposed to be very simple, not overly complicated!Here's the directions:Write at least: 6 simple sentences in French using the Future Simple and the vocabulary you have learnedMake sure you include:2 simple sentences in French to say what you will do.2 simple sentences in French to say what a family member will do.2 simple sentences in French to say what you and a friend will do.Talk about: Next weekend end, next month, next summer, in 3 years or in 2050.Use at least 6 different verbs. 1219 kg of Swiss cheese is packaged in 3 kg bags. Will there be any cheese left over? How do you know? Which of the following is a benefit of presenting information in a variety of media and formats? $51,033An electronics wholesaler must sell at least $4000 worth of computers and printers per day to stay profitable. Each printer costs$300 and each computer costs 5900. The store can ship a maximum of 25 items per day. If c represents the number of computersand p represents the number printers, which THREE statements are correct?Pls help A rectangle has a length of 12 meters and a width of 400 centimeters. What is the perimeterin cm, of the rectangle?A. 824B. 1,600C. 2.000D. 3.200 Who made the starry night? True or false?When multiplying fractions, you flip the second fraction to solve. True - Keep the first fraction the same then flip to solve the MULTIPLICATION problemTrue - Only when the second number is a whole numberFalse - Only when the second number is a whole numberFalse - You ONLY flip the second fraction when you have a FRACTION DIVISION problem. Keep, change, flip. Which of the following statements is true?Group of answer choicesA.Only products made from plastic damage the environmentB.Products mostly of metal do the most damage to the environmentC.All products have some effect on the environmentD.Reducing the enciroment impact of products can be both dangerous and frustrating for users Help pls and no links 1. Imagine you played the game, and the results are as follows. Examine the tables below and questions (a) and (b) Sample Data for Stable Food Scenario for EAST SIDE (Wet). Season Large (AA) Medium (Aa) Small (aa) 1 2 2 2 2 3 2 2 3 4 4 4 4 5 5 6 Sample Data for Stable Food Scenario for WEST SIDE (Dry). Season Large (AA) Medium (Aa) Small (aa) 1 2 2 2 2 2 2 2 3 3 2 2 4 4 2 2 A) Describe what happens to the bird population for both the East and West sides of the Islands in terms of its composition of different size beaks when the food source is stable over several seasons. B) Are the initial populations maintained, explain?2. Imagine you played the game again, but under different conditions. Examine the tables below, and answers (a), (b), and (c).Sample Data for Natural Selection Scenario for EAST SIDE (Wet). Season Large (AA) Medium (Aa) Small (aa) 1 2 2 2 2 3 3 3 3 4 3 2 4 8 5 0 Sample Data for Natural Selection Scenario for WEST SIDE (Dry). Season Large (AA) Medium (Aa) Small (aa) 1 2 2 2 2 2 2 2 3 2 2 2 4 2 0 3 A) What happened to the composition of the original population over these four seasons for the East and the West? B) What factor(s) might have caused these changes? C) How was natural selection acting on this population? geometry question pls help!!!Find measure of angle BPDA-9 degrees B- 14 degrees C- 155 degrees D- 146 degrees