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[Solved] A first order reaction has a rate constant 1.15 10^-3 s^-1. How long will 5 g of this reactant take to reduce to 3 g?

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A first order reaction has a rate constant 1.15 10-3 s-1. How long will 5 g of this reactant take to reduce to 3 g?

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From the question, we can write down the following information:

Initial amount = 5 g

Final concentration = 3 g

Rate constant = 1.15 10-3 s-1

We know that for a 1st order reaction,

t = \(\frac{2.303}{k}log \frac{[R]_0}{[R]}\)

= \(\frac{2.303}{1.15 \times 10^{-3}}log \frac{5}{3}\)

= \(\frac{2.303}{1.15 \times 10^{-3}}\)x 0.2219

= 444.38 s

= 444 s (approx)

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