Hoover Dam across the Colorado River dams up Lake Mead 200m higher than the rive
ID: 1858954 • Letter: H
Question
Hoover Dam across the Colorado River dams up Lake Mead 200m higher than the river downstream. The electric generators driven by water powered turbines diver 1300 MW of Power.
Water Density = 1000 kg/m^3
Turbine generator efficiency is 90%
Neglecting the power loss in the pipe and kinetic energy of the water exiting the turbine determine:
a) minimum amount of water through the turbine
b) Revenue generated by the power plant per year (365 days a year) if the electricity is sold to the utility at $0.08/kWh.
c) Determine the amount of CO2 emission per year saved by the use of this power planr verses coal-fired power plant. Generation of 1 kWh of electricity by coal plant produces 966 gram of carbon dioxide (CO2)
Explanation / Answer
a)efficiency= 0.9
let the minimum amount of water be Q
1300*10^6/rho*g*Q*H= 0.9
Q= 736. 21 m^3/s
b)electricity generated in 365 day= 1300*365*24*3600=4.09*10^10 MJ= 11388 kWh
revenue= 0.08*11388= $911.04
c) 1 kWh= 966 g CO2
11388 kWh= 966*11388 g=11000808 g
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