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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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