Problem $4$

Provide answers to the following questions as related to material balances, reaction kinetics and microbiology and ecology of environmental engineering :

$(6)$

$(6)$

$($i$)$ Use mass balances to estimate the lead $($Pb$)$ emission in kg$/$yr from a $2000$ MW coal$-$fired power plant. Assume that the higher heating value of coal $($HHV$)$ is $30x{10}^6\frac{J}{k}g$; the concentration of $Pb$ in coal is $0\mathrm{.}1\frac{g}{g}$ and the overall efficiency of the power plant is $50\%.$

$($ii$)$ Consider the fundamental gas phase reaction and the corresponding rate law below:

$2A+$BLongrightarrowC

$-r_A=k_A{C}_A^2{C}_B$

Assuming that the reaction is carried out at constant $T(500K)$ and $)$ with $k_{Pb}=20d\frac{m^6}{m}o{l}^2,$ determine the completely stirred tank reactor $($CSTR$)$ volume that is necessary to achieve a $99\%$ conversion when the feed is $60\%$ mole A and $40\%$ mole B$.$

$(8)($iii$)$ Consider the figure $($below$)$ and give the order of resistance, from highest to lowest, to UV disinfection by each microorganism. In addition give the approximate UV dose required to achieve $99\mathrm{.}9\%$ inactivation for each microorganism.

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