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The reaction
\[
\text { cis- } \mathrm{Cr}(\mathrm{en})_{2}(\mathrm{OH})^{+}{ }_{2} \underset{\mathrm{k}_{2}}{\stackrel{\mathrm{k}_{1}}{\mathrm{k}_{2}}} \text { trans- } \mathrm{Cr}(\mathrm{en})_{2}(\mathrm{OH})^{+}{ }_{2}
\]
\( P \)
is first order in both directions. At \( 25^{\circ} \mathrm{C} \) the equilibrium constant is \( 0.16 \) and the rate constant \( \mathrm{k}_{1} \) is
WV \( 3.3 \times 10^{-4} \mathrm{~s}^{-1} \). In an experiment starting with the pure cis form, how long would it take for half the equilibrium amount of the trans isomer to be formed?
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