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Question

Question: The rate constant of a first order reaction is \(15 \times 10^{- 3}s^{- 1}\). How long will \(5.0\) ...

The rate constant of a first order reaction is 15×103s115 \times 10^{- 3}s^{- 1}. How long will 5.05.0 g of this reactant take to reduce to 3.03.0g?

A

34.07s34.07s

B

7.57s7.57s

C

10.10s10.10s

D

15s

Answer

34.07s34.07s

Explanation

Solution

t=2.303klogaaxt = \frac{2.303}{k}\log\frac{a}{a - x}

Or t=2.30315×103log53=34.07st = \frac{2.303}{15 \times 10^{- 3}}\log\frac{5}{3} = 34.07s