Mission: Improving the room for a safe level of CO from cigarette smoking

A room with a volume of $80$ m$3$ which currently has a ventilation rate Qin $=$ Qout $=40$ m$3/$h assumes that the infiltrated air flow is so small that it is negligible and that CO decays with a rate constant of k $=0\mathrm{.}1$ h$-1$ in days. There was a party of $8$ people, each smoking $4$ cigarettes per hour. which is the same brand of cigarettes which has a CO release rate of $125$ mg CO$/$cigarette$.$ Today the air outside the room has $10$ mg$/$m$3$ of CO$.$

$1.)$ Calculate the mass balance using the box model to calculate how much CO concentration will initially occur at Steady State.

$2.)$ If the safe CO concentration level is $50$ ppm or $55$ mg$/$m$3($refer to the Announcement of the Ministry of Interior, Thailand, regarding occupational safety regarding environmental conditions $($chemicals$)),$ calculate whether a new ventilation fan will need to be installed. What is the flow rate $($in m$3/$h$)$ to keep the CO concentration at a safe level?

Show calculations in detail, specifying equations, numerical values, and units for each term clearly.