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The catalytic decomposition of H(2)O(2)...

The catalytic decomposition of `H_(2)O_(2)` was studied by titrating it at different intervals with `KMnO_(4)` solution.Calcualte the rate constant from the following data assuming the reaction to be of the first order
time t(seconds): 0 600 1200
`KMnO_(4)` (mL) :22.8 13.8 8.2

Text Solution

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First order reaction, `k = (1)/(t)ln""(a)/((a-x))`
For `t = 600s, k = (1)/(600 x) ln"(22.8)/(13.8) = (1)/(600s) ln 1.652 = 8.366 xx 10^(-4)s^(-1)`
For `t = 1200 s, k = (1)/(1200 s)ln""(22.8)/(8.2) = (1)/(1200 s) ln 2.7805 = 8.522 xx 10^(-4)s^(-1)`
Value of k are nearly constant, indicating that the reaction is first order.
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