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(Solved): The per capita consumption of electrical energy in Ireland is approximately 20kWh daily. If this wer ...



The per capita consumption of electrical energy in Ireland is approximately

20kWh

daily. If this were provided by fission of U-235 yielding

190MeV

of useful energy per each atom undergoing fission, with

(2)/(3)

of the heat wasted, how much natural uranium in grams would each person use per day? (Note: abundance of U-235 is

0.711%

by weight - i.e. natural uranium contains

0.711%U-235

) Assume the daily

20kWh

of electricity from part (a) were provided by deuterium fusion reaction

2_(1)^(2)H->_(2)^(4)He+23.8MeV

with

(2)/(3)

of the heat wasted. How much water

(H_(2)O)

in grams would have to be processed in order to extract enough deuterium

(H-2)

for each person use per day? (Note: abundance of

H-2

is

0.0115%

by weight - i.e. natural hydrogen contains

0.0115%

deuterium). Suppose the

20kWh

of electricity form part (a) were produced by a power plant burning natural gas with

(2)/(3)

of heat wasted. Natural gas is, essentially, methane,

CH_(4)

, and its higher heat of combustion is

55.6M(J)/(k)g

. The methane combustion reaction is

CH_(4)+2O_(2)->CO_(2)+2H_(2)O+ energy

Calculate the theoretical daily amount of natural gas combusted and the daily amount of

CO_(2)

emitted to generate the

20kWh

of electricity.



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