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Time required to decompose SO(2)Cl(2) to...

Time required to decompose `SO_(2)Cl_(2)` 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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The correct Answer is:
`1.925xx10^(-4)s^(-1)`

`t_(1//2)=60 mi n`
For first order reaction,
`k=(0.693)/(t_(1//2))=(0693)/(60 mi n)`
`=1.155xx10^(-2)mi n^(-1)`
`=(1.55xx10^(-2))/(60s)=1.925xx10^(-4)s^(-1)`
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