As a result of a chemical spill, benzene is evaporating at the rate of 1 gram per minute into a room that is 6 m * 6 m * 3 m in size and has a ventilation of 10 m3/min.
a- Compute the steady state concentration of benzene in the room.
b- Assuming the air in the room is initially free of benzene, compute the time necessary for benzene to reach 95 percent of the steady-state concentration.
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The solution ...
The 5-page solution shows how to construct and solve the differential equation that models the situation.
Residence Time of Water
A stable and highly soluble pollutant is dumped into a lake at the rate
of 0.19 tonnes per day. The lake volume is 2E7 m3 and
the average water flow-through rate is 8E4 m3 per day. Ignore evaporation
from the lake surface and assume the pollutant is uniformly mixed in the lake.
What eventual steady-state concentration will the pollutant reach (in ppm)?
Hint: Calculate residence time of water in lake. Multiply by pollutant input rate.View Full Posting Details