You buy an older house (100 years old or so) and it has a great basement office

Question

You buy an older house (100 years old or so) and it has a great basement office and workshop where you spend most of your time on the weekend. The problem is the older oil-heat furnace that is no longer efficient. The ceiling is low (only 2.5m) and the room is 80m^2. You have some windows and some drafts that exchange the air at a rate of 0.3 air changes per hour (ach). The furnace emits carbon monoxide (CO) at a rate of 5700mg/hour. What is the steady state concentration of CO assuming it is conservative and the furnace is the only source (i.e. -no ambient CO in the basement?) Also, what percentage of your blood's hemoglobin is binding CO instead of O_2 (what is the %COHb after you have been working in the basement for 8 hours?)

Explanation / Answer

The air change formula suggest that

no of ach = 60 * air flow rate / room volume

0.3= 60 * air flow rate / 200

so air flow rate= 1 m3 per hour

Also funace produce carbon monooxide at rate of 5700 mg/hr

at the steady state air outflow will not change the concentration of Carbon monooxide in the

in coming air doesnt have any amount of CO so furnacel is the sole producer of CO

let concenration be c at this point 5700 mg generated is taken out by 1m3 volume of air

so steady state concentraion will be 5700mg/ m3 air

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