For a reaction of n^th order when graph is plotted between $\log_{10} (\frac{dx}{dt}) vs \log_{10} (a - x)^{n}$ then a straight line was obtained with y intercept equals to 0.6020. Rate const is ____ lit^n-1mole^1-n t ^-1

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answer is 4.

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Detailed Solution

For nth order reaction $\frac{dx}{dt} = K (a - x)^{n}$
$\begin{array}{l} \log \frac{dx}{dt} = \log K + nlog (a - x) \\ Y intercept = \log K = 0 .6020 ∴ K = 4 \end{array}$

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