5

The water behind the Hoover Dam in Nevada is 187m higher than the Colorado River below it:If an 80% efficient hydrauliLturbine-generator located in the river at the...

Question

The water behind the Hoover Dam in Nevada is 187m higher than the Colorado River below it:If an 80% efficient hydrauliLturbine-generator located in the river at the base of the dam generates 95 MW of electrical power; what is the mass flow rate of water passing through the turbine-generator in kg/s? Please round vour answer to the nearest Whole kg/5.

The water behind the Hoover Dam in Nevada is 187m higher than the Colorado River below it: If an 80% efficient hydrauliLturbine-generator located in the river at the base of the dam generates 95 MW of electrical power; what is the mass flow rate of water passing through the turbine-generator in kg/s? Please round vour answer to the nearest Whole kg/5.



Answers


The water behind Hoover Dam in Nevada is $206 \mathrm{m}$ higher than the Colorado River below it. At what rate must water pass through the hydraulic turbines of this dam to produce $100 \mathrm{MW}$ of power if the turbines are 100 percent efficient?

This question takes a look at a dumb and how much energy producers. So I told that the height of the dam is 221 meters and that has an output of 1300 megawatts. You also told the electricity generation comes from a depth of 150 meters until the race to flow is 650 meters cubed. A second import A were asked to find the power produced by the dumb. So you know that power is equal to the force. Times lost e from other questions. In the section, you can see that the velocity is equal to the rate of flow divided by the area. So we can substitute, um, this V into here and we got that The power is equal to the bulls times area flow divided by the area. Now we know that the pressure which I'm going to the note as PR is equal to thoughts divided by area into the power of the flow is equal to the pressure times by flow rate. But we need to work out what the pressure is. It's a pressure could be calculated by the height times by the density times by the gravitational force. So using the height from the question of 150 meters, the density of water is 1000 kilogram per meter. Cube on the value of gravity is 9.81 meters per second squared on earth. And so when we come plate that value pressure, what we get is this value here onto the units are Newton Mita Squad and so now what we can do because we can work out the power which is equal to pressure times, the flow rate. So that is all value that we've just calculated for the pressure times by the flow rate which were given in the question and we get an answer of mine. 0.56 times tend to the eight watts. You can also simplify this and right as 956 megawatts important be were asked to find the ratio of the power. So this is gonna be the power flow which we've just calculated, divided by the average power produced. And so that is 9.56 times 10 to the eight. What's divided by 680 times 10 to the six what's and that's a value of one point full zero

So we have the whole order and the water gushes out of the dam. Now be power off this flow. Let's call it P is equal to the power inside is Think of it like this. Their water from here comes out here not because of Family Stadium. The power here will be for the poor here so we can see we find our inside the down on be done with it You remember our is MG Road th just be listen half always where I'm so straight off the volume record flow No In here there is no velocity And there is and the only simply need to find pressure Place ro gh now because this is where the water is coming out are hiding zero and we only need to find the presidency Now pressure is in fact Rocchi h a gain. So that's true, G where edge? Let's call this necks where X is the height of the water column so that yes, I didn't see your water stinky kilogram per meter Cube G is 9.8 meters per second squared x It's 1 50 meters in the question. On our cue, the question is 60 Meter Cube, Corsican. You can see that a bunch of units cancel out, giving us 955.5 mega. What maker is basically tend? Bar six on. We get watch because it is cagey. Meter square or second cube, we can idea. Sick and squared, Divided by second. This is Jules and jewels for second is power, which is what now 9 35.5 megawatts ratio. Do the power off the dam, which is 680 megawatts is one before seemed what was that?

471 91. We know that the gravitational potential energy off water is and G eggs. And by what off this water is this energy of one time dot Total power or water is converted. Only two useful electricity by 92%. So 0.92 in tow. And the edge. Dwight D check break will do that. Total energy. 2000 into 10 to the power six. What? So this is the global power and the power off the water is converted by only 92%. So this is very, quite a question. Now start shooting the values in it. 0.92 I m into 9.8. And though 178 the word it by one they called 2000 indo. Then do the power six. So doing this, he will get the moss off. Eric will too. Zero point one day. Zero for a so into 10 to the power seven g. This is also equal to one day video. Poor wine. A seven made that you. This is that required months

Hoover. Them dams up Lake Mead across the Colorado River, 200 m higher than the river downstream. They are electric generators driven by water power turbines, which deliver a given power. If the water is a given temperature, we want to find the minimum amount of water is running through the turbines, so we take the control volume as the water pipes blasted turbines. First we look at the continuity equation, so the continuing creation community equation tells us that the mass flow rate into the turbine m dot I is equal to the mass off mass flow rate out. I am not yeah e exit. Then, looking at the energy equations in the first law, we see that the Intel B plus the kinetic energy Behalf B squared plus the gravitational potential energy G said in must equal to be endowed out age plus behalf V squared les de gravitational potential energy out plastic work than by the turbines per unit mass little W t. Now from the water States State one and state to the Intel P is the same. So h I is equal to H. I is equal to H E and the what a velocity in is also approximately equal to the exit velocity v e. So therefore, she can see that the specific work done by the turbines W T. Is equal to the change in gravitational potential energy, which is G times ID in minus G times dead out. But so the changing potential energy is simply the potential energy at the top of the dam, which is nine 0.8 07 g multiplied bye, 200 over one 1000. And so we get he walked on by the turbines to be 1.961 killer jewels Pretty edgy now the mass flow rate am not is constant. So we just call it m dot is equal to the power developed. Damn you dot over the specific work done by the turbines little w t. And so this is given to be 1300 times 10 to the three killer. What's, which is 1300 megawatts over specific work which is 1.961 killer jewels K G. And so we get the mass flow rate to be 6.63 claims 10 to the five k g the second. Now that we have the mastery, we can calculate the volume florid the dot and the volume flow rate is the mass flow rate M not time specific volume V. And so this is 6.63 Princeton to the five and the specific volume 0.1 001 And so we get the volume florid to be 664 cubic meters the second.


Similar Solved Questions

5 answers
7: Problem 7PreviousProblem ListNextpoint) Solve the differential equationY" +2y - 3y =t+263() ,y(O) = 2,Y (0) =-2using Laplace transforms.The solution is y(t) and y(t)for 0 < t < 3for t > 3
7: Problem 7 Previous Problem List Next point) Solve the differential equation Y" +2y - 3y =t+263() , y(O) = 2,Y (0) =-2 using Laplace transforms. The solution is y(t) and y(t) for 0 < t < 3 for t > 3...
5 answers
Point) Find the differential of the function w = x sin(y 22 )dwdxtdy+
point) Find the differential of the function w = x sin(y 22 ) dw dxt dy+...
5 answers
Problem 10Consider an infinite long wire carrying a current The wire curls to form circular loop of radius R before extending to infinity: Find the magnetic field at the center of the loop.
Problem 10 Consider an infinite long wire carrying a current The wire curls to form circular loop of radius R before extending to infinity: Find the magnetic field at the center of the loop....
5 answers
Hasehall is hit a1 an initial ungle = Ironi heighr height of 3 fect above the ground caught (also feet) by an outfielder located 3(} feet DYy Assumna 32 [Vs idcal projectile motion withFind thee initial Spred of the ball;SAm uppropriale units.Find the maximum height reached by the ball
hasehall is hit a1 an initial ungle = Ironi heighr height of 3 fect above the ground caught (also feet) by an outfielder located 3(} feet DYy Assumna 32 [Vs idcal projectile motion with Find thee initial Spred of the ball; SAm uppropriale units. Find the maximum height reached by the ball...
5 answers
What two components aid in denaturing protein samples and coating the proteins in negative charge proportiona to its size for SDS-PAGE analysis?SDS-PAGE and agarose gel electrophoresis both separate macromolecules by size. What characteristic of DNA allows us t0 run the agarose gel without first coating the DNA in a negative charge?
What two components aid in denaturing protein samples and coating the proteins in negative charge proportiona to its size for SDS-PAGE analysis? SDS-PAGE and agarose gel electrophoresis both separate macromolecules by size. What characteristic of DNA allows us t0 run the agarose gel without first co...
5 answers
{-3,-2,-1} the set of natural numbers N Which of the sets above is/are countably infinite? T) K only IL onlv (C) [and II(D) neither
{-3,-2,-1} the set of natural numbers N Which of the sets above is/are countably infinite? T) K only IL onlv (C) [and II (D) neither...
5 answers
OH'Si(CHa)a OCHO3fHN(CHZCH3)3
OH 'Si(CHa)a OCH O3fH N(CHZCH3)3...
5 answers
Ipar AHow far does the book slide? Express your answer with the appropriate units."% PAVakeCR
Ipar A How far does the book slide? Express your answer with the appropriate units. "% PA Vake CR...
5 answers
Rh Rh PVs-PzVz R R K enrt; % Pr-P1+P2+Pat. Tz Re0.0821 Latm R-62,4 LmmHg mol K mnol h Ifa ga5 is cooled from 320.0 K to 273.15 K and volume is kept constant what final eressure would result if the original pressure was 725.0 mmHg
Rh Rh PVs-PzVz R R K enrt; % Pr-P1+P2+Pat. Tz Re0.0821 Latm R-62,4 LmmHg mol K mnol h Ifa ga5 is cooled from 320.0 K to 273.15 K and volume is kept constant what final eressure would result if the original pressure was 725.0 mmHg...
1 answers
Find the fractions equal to the given decimals. $$0.82222 \ldots$$
Find the fractions equal to the given decimals. $$0.82222 \ldots$$...
5 answers
For the following compound how many different signals would you see in the proton NMR? (Assume that you can see them all )0
For the following compound how many different signals would you see in the proton NMR? (Assume that you can see them all ) 0...
5 answers
4Howdoyou count electrons involved In; bonding? Select all that applyAdd atomic numbersAdd group numbersAdd molar massAdd valence electrons
4Howdoyou count electrons involved In; bonding? Select all that apply Add atomic numbers Add group numbers Add molar mass Add valence electrons...
5 answers
Two long; parallel wires are separated by 7.09 cm and carry currents of 2.05 A and 4.85 A, respectively. Find the magnitude of the magnetic force F that acts on a 3.25 m length of either wire.
Two long; parallel wires are separated by 7.09 cm and carry currents of 2.05 A and 4.85 A, respectively. Find the magnitude of the magnetic force F that acts on a 3.25 m length of either wire....
5 answers
#22: [2 marks] LetLa1 a2 a3 b1 b2 b3C1C2 C3Suppose that det(4) 5.Find the determinant of the following matrix Tag + 8b1 C1 6a1 + b1 02 + 8b2 C2 6a2 - b2 a3 + 8b3 C3 6a3 + b3
#22: [2 marks] Let La1 a2 a3 b1 b2 b3 C1 C2 C3 Suppose that det(4) 5.Find the determinant of the following matrix Tag + 8b1 C1 6a1 + b1 02 + 8b2 C2 6a2 - b2 a3 + 8b3 C3 6a3 + b3...
5 answers
Two charges with the masses m1=2mz and velocities Vz=3v1 enter to a uniform magnetic field B. If q.=3q, Find the ratio of the circulation radius-es (r1/rz).Select one:Nert page
Two charges with the masses m1=2mz and velocities Vz=3v1 enter to a uniform magnetic field B. If q.=3q, Find the ratio of the circulation radius-es (r1/rz). Select one: Nert page...

-- 0.056496--