SARS$-$CoV in a classroom with a HEPA filter

Consider a classroom with one person infected with SARS$-$CoV and not wearing a mask. Assume the person has been sitting in the room for a long time, such that the system is at teady state. The room has an air filter similar to the one in problem #$3$ above. With the following information, construct a material balance and calculate the steady state concentration of virus particles in the air in the classroom. Note that we use the term "virus particle" to mean either a droplet or aerosol, for simplification. You may assume all the particles are the same size and that outdoor air does not have any virus particles in it$.$

Room volume: $1,000$ m$3$

Air flow into and out of room: $0\mathrm{.}7$ m$3$ min $-1$

Virus particle emission rate from infected person: $7,500$ particles per minute

Air flow rate through the air filter: $5$ m$3$ min $-1$

Air filter removal efficiency for virus particle: $98\%$

d$)$ Calculate the steady state virus particle concentration in the room. Check your units and

number of significant figures in your answer before finishing the problem!!