CF2Cl2 is a chlorofluorocarbon (CFC) that has been tied to the destruction of the atmospheric ozone layer.  In the year 2000, it reached a peak concentration of 2.2 x 10-11 M in the atmosphere.  The destruction of CF2Cl2 can be approximated as a first-order process and the 1996 treaty on CFC emissions has eliminated its release into the atmosphere.    Since the half-life of CF2Cl2 in the atmosphere is 77 years, how long will it take for the concentration of CF2Cl2 to decline to one-quarter (25%) of its concentration in 2000?  (Note that one-quarter of its year 2000 concentration is 0.55 x 10-11 M.)

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CF2Cl2 is a chlorofluorocarbon (CFC) that has been tied to the destruction of the atmospheric ozone layer.  In the year 2000, it reached a peak concentration of 2.2 x 10-11 M in the atmosphere.  The destruction of CF2Cl2 can be approximated as a first-order process and the 1996 treaty on CFC emissions has eliminated its release into the atmosphere. 

 

Since the half-life of CF2Cl2 in the atmosphere is 77 years, how long will it take for the concentration of CF2Cl2 to decline to one-quarter (25%) of its concentration in 2000? 

(Note that one-quarter of its year 2000 concentration is 0.55 x 10-11 M.)

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