Suppose that you want to generate power to operate your electrical devices in your own living space rather than using electricity from the grid. You want to consider some different options and are interested to know some potential environmental impacts of each. The devices in your home consume $4\mathrm{.}44kW$ of power, which you assume to be a constant load.

You consider a diesel generator with an electrical efficiency of $33\mathrm{.}17\%.$ The heating value of the fuel is $4\mathrm{.}506901{10}^{4}M\frac{J}{k}g.$ The composition of the fuel $($by mass$)$ is as follows:

$83\mathrm{.}45\%$ Carbon

$13\mathrm{.}29\%$ Hydrogen

$2\mathrm{.}69\%$ Oxygen

$0\mathrm{.}22\%$ Nitrogen

$0\mathrm{.}35\%$ Sulfur

Assume complete combustion with air and that all Nitrogen in the fuel is converted to $N{O}_2$ and that all Sulfur in the fuel is converted to $S{O}_2.$ How much fuel do you need for one year? What pollutants are released? What environmental problems might they cause?