A) carbon monoxide is non-reactive B) carbon monoxide is removed through a react

Question

A) carbon monoxide is non-reactive B) carbon monoxide is removed through a reaction in air with a first order reaction constant of 0.8 min^-1 ?

A room in a warehouse is 150m^3 in volume. Due to a fire in the warehouse, the well-mixed air inside this room has become contaminated with carbon monoxide at 10mg/m^3. Determine how long it would take for the carbon monoxide level in this room decrease from 10mg/m^3 to 0.1mg/m^3 after ventilation of the room with fresh air using a flow rate of 10m^3/min if A) carbon monoxide is non-reactive B) carbon monoxide is removed through a reaction in air with a first order reaction constant of 0.8 min^-1 ?

Explanation / Answer

Total CO present in room = 10mg/m3 * 150m3 = 1500mg

a) If the CO is unreactive then the flow rate will be the exit rate,

so, time taken = Volume of CO / Flow rate = 150/10 = 15min = 900sec

b) If CO reacts with first order rate constant as 0.8min-1, then let the total time taken be x min

so, 0.8x + 10x = 150

so x = 13.8889min = 833.333sec

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