You are tasked with helping to prepare an Emissions Summary and Dispersion Modelling $($ESDM$)$ report in support of an application for an Environmental Compliance Approval. Your task is to develop emissions estimates and gather the supporting information for the document. There are $4$ key sources involved in the application. The four sources consist of two $(2)2000$ kW $($electrical output$)$ landfill gas$-$fired generator sets, and two $(2)1000$ kW $($electrical output$)$ landfill gas$-$fired generator sets, which are being used at a large landfill for power generation from the landfill gas being produced. $-$ Landfill gas is a $50$:$50$ mixture $($by volume$)$ of methane $($CH

$4$

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$)$ and carbon dioxide. $-$ Treat the methane the same as natural gas for emission factor purposes $($do not use the solid waste chapter from AP$-42).-$ The incoming CO

$2$

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passes through the engines untouched by the process $($it will be part of the input and part of the output$).-$ The heat content of methane is $50\mathrm{.}0$MJ$/$kg$.-$ All of the engines associated with the generators are $4-$stroke, lean burn models. $-$ Each engine normally runs at $100\%$ load. $-$ Each engine uses $5\mathrm{.}0\backslash \%$ excess air. $-$ The generators all have an efficiency of $90\mathrm{.}0\%.-$ The engines all have an efficiency of $30\mathrm{.}0\%.-$ Each engine is fitted with a selective catalytic reduction system, which provides a $90\%$ reduction in NOx emissions. $-$ The engines are designed to each have separate stacks with the following parameters: Stack temperature of $127$

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C $-$ Stack exit velocity of $50\mathrm{.}0$ m$/$s Stack height is $8$ m above grade, and $3$ m above the roof. $1.$ Download and read Chapter $3\mathrm{.}2$ of US EPA AP$-42$ from the EPA website. $2.$ Calculate gram per second emission rates for NOx, using the emission factors provided in AP$-42.$ Show your work. $[40\%]3.$ Calculate the stack flow rate in m

$3$

$/$s$.$ You'll need to advise the client of the stack diameter needed to achieve the desired $50\mathrm{.}0$ m$/$s exit velocity. Please provide the solution for Q $2$ & $3$ considering Emission factor of $1\mathrm{.}75$ g$/$MJ for NOX emission. Please provide full calculations.