Explanation:
It is known that equation for steady state concentration is as follows.
where, Q = flow rate
k = rate constant
V = volume
C = concentration of the entering air
Formula for volume of the box is as follows.
V =
=
=
Now, expression to determine the discharge is as follows.
Q = Av
=
= 0.4
And, m (loading) = 10kg/s,
k = 0.20/hr
as 1 L (if u want kg/L as concentration)
Now, calculate the concentration present inside as follows.
= 25
Now, we will calculate the concentration present outwards as follows.
,
and, t =
= 25000 s or 6.94 hr
Hence,
= 10.47
Thus, we can conclude that the the steady-state concentration if the air is assumed to be completely mixed is and
.