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Q. For reaction $RX + OH^{-} \to ROH + X^{-},$ rate expression is $R = 4.7 \times 10^{-5} \left[RX\right]\left[OH^-\right]+2.4\times10^{-5}\left[RX\right]$ What % of reactant react by $S_N2$ mechanism when $\left[OH^{-}\right]=0.001$ molar?

Chemical Kinetics

Solution:

Fraction of reactant decomposing by $S_N2$ mechanism
$=\frac{4.7\times10^{-5}\left[RX\right]\left[OH^{-}\right]}{4.7\times10^{-5}\left[RX\right]\left[OH^{-}\right]+2.4\times10^{-5}\left[RX\right]}$
Put $\left[OH-\right]=0.001 M$