A first order reaction takes 40 min for 30% decomposition. Calculate t₁/₂
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We know, for a first order reaction,
t = 2.303/k Log [R]º / [R]. k = 2.303/40min Log 100 / 100-30 = 2.303/40min Log 10 / 7 = 8.918 x 10-3 min-1.
Therefore, t1/2 of the decomposition reaction is t1/2 = 0.693/k = 0.693 / 8.918 x 10-3 min = 77.7 min (approximately).
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