A first order reaction has a rate constant 23×10−3s−1. How long will it take to reduce 5.0 g of the reactant to 3.0 g? log 2 = 0.3, log 3 = 0.5, log 5 = 0.7.
A
20 seconds
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B
30 seconds
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C
40 seconds
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D
50 seconds
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Solution
The correct option is A 20 seconds Applying the first order rate equation k=2.303tloga(a−n) Where, k = rate constant, a = initial amount of the reactant, a-n = amount of the reactant left after the reaction t=2.30323×10−3log53≈20seconds