suppose we assume the following any CFCs released into the a

suppose we assume the following:

any CFCs released into the atmosphere remain there indefinitely

At current rates of release, atmospheric concentration of CFCs would double in 100 yrs.

Atmospheric release rate are, however, not constant but growing at 2%/yr.

How long would it take to double atmospheric CFC concentrations?

If the atmospheric concentration of cfcs would double in 100 yrs that means 100% release in 100 yrs. This means 1% in 1year.

But atmospheric release rate in increasing at 2%/yr

So in n yrs total atmospheric release rate = 1+1.(1+.02)+(1+.02)^2.....+(1+.02)^(n-1)=

((1+.02)^(n) -1)/.02=50((1+.02)^(n) -1)

To find n when concentration would be double we need equate 50((1+.02)^(n) -1)=100

((1+.02)^(n) -1)=2

(1+.02)^(n)=3

n=ln3/ln(1.02)=55.48 years