The per capita consumption of electrical energy in Ireland is approximately $20kWh$

daily. If this were provided by fission of U$-235$ yielding $190$MeV of useful energy per

each atom undergoing fission, with $\frac{2}{3}$ of the heat wasted, how much natural

uranium in grams would each person use per day? $($Note: abundance of U$-235$ is

$0\mathrm{.}711\%$ by weight $-$ i$.$e$.$ natural uranium contains $0\mathrm{.}711\%U-235)$

Assume the daily $20kWh$ of electricity from part $($a$)$ were provided by deuterium

fusion reaction

$2_1^{2}H{?}_2^{4}He+23\mathrm{.}8$MeV

with $\frac{2}{3}$ 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 $0\mathrm{.}0115\%$ by weight $-$ i$.$e$.$ natural hydrogen contains

$0\mathrm{.}0115\%$ deuterium$).$

Suppose the $20kWh$ of electricity form part $($a$)$ were produced by a power plant

burning natural gas with $\frac{2}{3}$ of heat wasted. Natural gas is$,$ essentially, methane,

$C{H}_4,$ and its higher heat of combustion is $55\mathrm{.}6M\frac{J}{k}g.$ The methane combustion

reaction is

$C{H}_4+2O_{2}C{O}_2+2H_{2}O+$ energy

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

amount of $C{O}_2$ emitted to generate the $20kWh$ of electricity.