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Time required to decompose SO2Cl2 to half of its initial amount is 60 minutes. If the decomposition is a first order reaction, calculate the rate constant of the reaction.

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Time required to decompose SO2Cl2 to half of its initial amount is 60 minutes. If the decomposition is a first order reaction, calculate the rate constant of the reaction.

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We know that for a 1st order reaction,

t1/2 = \(\frac{0.693}{k}\)

It is given that t1/2 = 60 min

∴ k = \(\frac{0.693}{t_{1/2}}\)

= \(\frac{0.693}{60}\)

= 0.01155 min-1

= 1.155 min-1

or k = 1.925 x 10-4 s-1

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