It's a ionizzzzzer!

Long-acting ionizer that create per unit time per unit volume of air ion pairs n i n_i = 3.5 × 1 0 9 c m 3 s 1 3.5 \times 10^{9} cm^ {-3} s^{ -1} , has been turned off. Assuming that the only process tending to reduce the number of ions in the air is their recombination coefficient r = 1.67 × 1 0 6 c m 3 / s 1.67 \times 10 ^{-6} cm^{3} /s , find how long after turning off the ionizer, ion concentration decreased 2.0 2.0 times.


The answer is 0.013.

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