4.6     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.

Answers (1)

We know that t(half ) for the first order reaction is  \frac{0.693}{k} = t_{1/2}

and we have given the value of half time t_{1/2} = 60 min

thus,  k = \frac{0.693}{60}min^{-1}

             = 0.01155 /min

       OR = 1.1925\times 10^{-4}sec

Alternative method 

we can also solve this problem by using the first order reaction equation.

                            k = \frac{2.303}{t}\log\frac{[R]_{0}}{[R]}

put [R]=[R_{0}]/2

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