For all problems of this assignment consider Nuclear Power Plant (NPP) with Pressurized water reactor (PWR). Reactor have following parameters:
Reactor Thermal Power
|
![](https://a.gfx.ms/i_safe.gif)
|
3000 MWth
|
Nuclear Power Plant has thermal efficiency
|
![](https://a.gfx.ms/i_safe.gif)
|
33%
|
Working Period Between Annual Outages (Annual refueling and maintanance)
|
![](https://a.gfx.ms/i_safe.gif)
|
300 Effective Full-Power Days (EFPD)
|
Of all Fissions (100%):
Contribution of U-235 fissions:
Contribution of Pu fissions:
|
|
65%
35%
|
Energy produced at each fission of U-235
|
![](https://a.gfx.ms/i_safe.gif)
|
200 MeV / atom
|
Conversion Factor
|
![](https://a.gfx.ms/i_safe.gif)
|
1.6 x 10-19 J/eV
|
Avogadro Constant
|
![](https://a.gfx.ms/i_safe.gif)
|
6.023 x 1023 J/eV
|
Initial Fuel Enrichment (wt% of U-235):
|
|
4.0%
|
Remaining content of U-235 in fuel (wt% of U-235):
|
|
1.0%
|
Amount of uranium that undergo fission in the fuel
|
![](https://a.gfx.ms/i_safe.gif)
|
4.0% - 1.0% = 3.0%
|
Electricity Price per Kilowatt-hour:
|
|
0.1 $/(kW*hr)
|
Natural uranium price
|
|
35 $/lb
|
Problem 1 :
Calculate electric output of the nuclear power plant (measured in MWe).
Problem 2 :
Assume that 65% power was produced by U-235 Fissions.
Calculate Mass of Uranium-235 used in the reactor during this period (in kg).
Problem 3:
Assume that amount of uranium that undergo fission in the fuel is equal to 3.0% on total fuel mass,
Calculate total mass of fuel used in the reactor during this period (metric tons).
Problem 4:
Assume that the price of electricity for residents is 10 cents per kilowatt - hour, and that 50% of the payment goes to power distribution network, and 50% goes to NPP owner,
Calculate NPP revenue per day of operation.
Problem 5:
Assume that the price of electricity for residents is 10 cents per kilowatt - hour, and that 50% of the payment goes to power distribution network, and 50% goes to NPP owner,
Calculate NPP revenue per 1 year of operation.
Problem 6:
Calculate total demand of natural uranium per year (in metric tones), necessary for NPP fuel fabrication, assuming that depleted uranium in tails will contain 0.2% of U-235. Calculate the cost of that amount of natural uranium assuming natural uranium price of 35$/lb