Nitrous oxide (N2O) is used as an anesthetic (laughing gas) and in aerosol cans to produce whipped cream. It is also a potent greenhouse gas. The decomposition of N2O is first order. It decomposes slowly to N2 and O2:
How many half-lives will it take for the concentration of the N2O to reach 25.00 % of its original concentration?
Solution:-
N / N0 = (1/2)n
Where, N = final concentration
N0 = original concentration
n = number of half-lives.
Let, N0 = 100%
then, N = 25%
Thus,
(25 / 100) = (1/2)n
(1/4) = (1/2)n
(1/2)2 = (1/2)n
n = 2
Hence, the number of half-lives required for the concentration of the N2O to reach 25% of it's original concentration is = 2
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