It's a ionizzzzzer!

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

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