The steady state concentration of an atmospheric gas is 9.5 g/g of air and its r

Question

The steady state concentration of an atmospheric gas is 9.5 g/g of air and its residence time is 15 yrs. What is the annual total release of the gas (in g/yr) into the atmosphere as a whole? The total mass of the atmosphere is 5.1E21 g air. The steady state concentration of an atmospheric gas is 9.5 g/g of air and its residence time is 15 yrs. What is the annual total release of the gas (in g/yr) into the atmosphere as a whole? The total mass of the atmosphere is 5.1E21 g air. The steady state concentration of an atmospheric gas is 9.5 g/g of air and its residence time is 15 yrs. What is the annual total release of the gas (in g/yr) into the atmosphere as a whole? The total mass of the atmosphere is 5.1E21 g air.

Explanation / Answer

Steady state conc of the gas, C = 9.5 mg/g air

Mass of atmosphere = 5.1*1021 g

So, Mass of gas in the atmosphere in steady state = M = 9.5*10-3*5.1*1021 = 4.845*1019 grams

Residence time, t' = 15 years

So,

t' = M/S

Here, S = annual release rate

Putting values we get:

S = M/t' = (4.845*1019)/15 = 3.23*1018 g/yr

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