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Question

A first order reaction takes 20 minutes for 25% decomposition. Calculate the time when 75% of the reaction will be completed.
(Given: log 2=0.3010, log 3=0.4771, log 4=0.6021)

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Solution

t=20 min, A0=100%, A=10025=75%, k=?
k=1t×2.303 log A0A
=120×2.303 log 10075=120×2.303 log (1.33)
=120×2.303×0.1248
=0.0143 min1
So for 75% completion.
t=1k×2.303×logA0A
=10.0143×2.303×log10025=96.96 min

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