Please answer all parts

$2)$ Ventilation and Indoor $\backslash (\backslash$mathrm$\{$CO$\}\_\{2\}\backslash )(50$ total points$)$

Consider an occupied university lecture hall with physical details above $($floor area of $\backslash (1200\backslash$mathrm$\{$ft$\}^\{2\}\backslash ),$ ceiling height of $18$ ft $),$ unknown but constant occupancy, a constant air change rate of $1\mathrm{.}2$ per hour, and constant outdoor $\backslash (\backslash$mathrm$\{$CO$\}\_\{2\}\backslash )$ concentration and indoor $\backslash (\backslash$mathrm$\{$CO$\}\_\{2\}\backslash )$ generation rates such that steady$-$state conditions are reasonably achieved. The building automation system has $\backslash (\backslash$mathrm$\{$CO$\}\_\{2\}\backslash )$ sensors installed to measure $\backslash (\backslash$mathrm$\{$CO$\}\_\{2\}\backslash )$ concentrations inside the classroom and outdoors.

a$.$ Assume the room achieves a steady$-$state indoor $\backslash (\backslash$mathrm$\{$CO$\}\_\{2\}\backslash )$ concentration of $1800$ ppm $.$ Using this $\backslash (\backslash$mathrm$\{$CO$\}\_\{2\}\backslash )$ concentration, estimate the number of occupants that are in the classroom at these conditions. Assume: $1)$ the indoor temperature is $\backslash (72^\{\backslash$circ$\}\backslash$mathrm$\{$F$\}\backslash )$ and RH is $\backslash (50\backslash \%$ ; $2\backslash ))$ the outdoor $\backslash (\backslash$mathrm$\{$CO$\}\_\{2\}\backslash )$ concentration is $\backslash (400\backslash$mathrm$\{$ppm$\}$ ; $3\backslash ))$ the building is located at sea level $($atmospheric pressure of $14\mathrm{.}7$ psia $)$; $4)$ the average per$-$person $\backslash (\backslash$mathrm$\{$CO$\}\_\{2\}\backslash )$ emission rate is $\backslash (21\backslash$mathrm$\{$~g$\}/\backslash$mathrm$\{$hr$\}\backslash )$; and $5)$ the room is well$-$mixed. $(20$ points$)$

b$.$ What air change rate $\backslash ((1/\backslash$mathrm$\{$hr$\})\backslash ),$ outdoor air ventilation flow rate $\backslash (($C F M$)\backslash ),$ and per$-$person outdoor flow rate $($CFM per person$)$ would be required to keep indoor $\backslash (\backslash$mathrm$\{$CO$\}\_\{2\}\backslash )$ concentrations below $900$ ppm in this space with the same number of occupants present as calculated in part $($a$)?(\backslash (\backslash$mathbf$\{15\}\backslash )$ points$)$

c$.$ For both case $($a$)$ and $($b$)$ above, does the lecture hall meet minimum outdoor air ventilation requirements in ASHRAE Standard $62\mathrm{.}1-2019?(5$ points$)$

d$.$ Assuming the outdoor temperature is $\backslash (15^\{\backslash$circ$\}\backslash$mathrm$\{$F$\}\backslash )$ and relative humidity is $\backslash (50\backslash \%\backslash ),$ calculate the sensible$,$ latent, and total ventilation load that the two ventilation flow rates in parts $($a$)$ and $($b$)$ add to the building $($in units of BTU$/$h$).$ You can use the average specific volume between indoor and outdoor air in your calculation. $(5$ points$)$

e$.$ ASHRAE Standard $241$ provides minimum per$-$person equivalent clean airflow rates needed for the purposes of infection control. Using Table $\backslash (5-1\backslash )$ in the standard $\backslash (\{\}^\{1\}\backslash ),$ calculate the equivalent air change rate that would be required to meet ASHRAE $241$ in this space. $(\backslash (\backslash$mathbf$\{5\}\backslash )$ points$)$