A room is injected with a constant amount of helium as part of a tracer gas test, wherein concentrated amount of inert gas is injected at negligible flow rate. The room, with a total volume of 200 m3 has an initial helium concentration of 0.00 μg/m3. Cross-ventilation rate, which is the rate at which natural air enters and leaves the room, was measured at 75 m3/hr. If helium is injected into the room at a rate of 100 μg/hr, determine the helium concentration in the room as a function of t. Assume that external helium concentration is also 0.00.
Topic: First Order ODEs
A room is injected with a constant amount of helium as part of a tracer gas test, wherein concentrated amount of inert gas is injected at negligible flow rate. The room, with a total volume of 200 m3 has an initial helium concentration of 0.00 μg/m3. Cross-ventilation rate, which is the rate at which natural air enters and leaves the room, was measured at 75 m3/hr. If helium is injected into the room at a rate of 100 μg/hr, determine the helium concentration in the room as a function of t. Assume that external helium concentration is also 0.00.
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can you please elaborate on the values you put to get the rate of inflow and the rate of outflow. why did you choose those values? is there a formula?
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