Answer:
the concentration at 10 minutes= 0.4+0.0133= 0.4133%
Step-by-step explanation:
Air containing 0.04% carbon dioxide
V, volume of room is 6000 ft3.
Q, rate of air 2000 ft3/min,
initial concentration of 0.4% carbon dioxide,
determine the subsequent amount in the room at any time.
What is the concentration at 10 minutes?
firstly, we find the time taken for air to completely filled the room
Q = V/t
t = V/Q = 6000/2000 = 3min
so, its take 3mins for air to be completely filled in the room and for exhaust air to move out.
there is an initial concentration of 0.4% carbon dioxide, and the air pump in is 0.04%.
therefore,
3mins = 0.04% of CO2
3*60 =180sec = 0.04%
1sec = 0.04/180 = 0.00022%/sec
so at any time the concentration of CO2 is 0.4 + 0.00022 =0.40022%/sec
What is the concentration at 10 minute
the concentration at 10minutes = the concentration for 1minute because at every minutes, the concentration moves in is moves out. = concentration for 2000ft3.
for 0.04% = 6000ft3
? = 2000ft3
= 2000* 0.04)/6000 =0.0133%
the concentration at 10 minutes= 0.4+0.0133= 0.4133%
