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80% of a first order reaction was comple...

80% of a first order reaction was completed in 70 min. How much it will take for 90% completion of a reaction?

A

114 min

B

140 min

C

100 min

D

200 min

Text Solution

Verified by Experts

`t_(80%) = log""(100)/(100-80) = log""(10)/(2) = log 5 = 0.69 ~~ 0.7, t_(90%) = log""(100)/(100-90) = log10 = 1`
`(t_(80%))/(t_(90%)) = (0.7)/(1) = (70)/(t_(90%)) = (0.7)/(1) " "t_(90%) = (70)/(7) = (700)/(7) = 100mg`
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