A first order reaction takes 20 minutes for 25% decomposition. Calculate the time when 75% of the reaction will be completed.
(Given: log2=0.3010,log3=0.4771,log4=0.6021)
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Solution
t=20min,A0=100%,A=100−25=75%,k=? k=1t×2.303logA0A =120×2.303log10075=120×2.303log(1.33) =120×2.303×0.1248 =0.0143min−1
So for 75% completion. t=1k×2.303×logA0A =10.0143×2.303×log10025=96.96min