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Types of Elementary Reactions

For the react...

Question

For the reaction $A \to B$ , rate constant $K = 2 \times 10^{- 4} m o l L^{- 1} S^{- 1}$ . If initial concentration of $A$ is $1 m o l L^{- 1}$ concentration of $A$ after $20$ minute is:

0.4 m o l L^{- 1}

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0.78 m o l L^{- 1}

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0.6 m o l L^{- 1}

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2 \times 10^{- 2} m o l L^{- 1}

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Solution

The correct option is B $0.78 m o l L^{- 1}$
$A = A_{0} e^{- k t} = 1. e^{- 2 \times 10^{- 4} \times 1.2 \times 10^{4}}$ $= 0.78 m o l L^{- 1}$

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