For a reaction \( 2 \mathrm{NH}_{3} \longrightarrow \mathrm{N}_{2}+3 \mathrm{H}_{2} \), it is ob...

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For a reaction \( 2 \mathrm{NH}_{3} \longrightarrow \mathrm{N}_{2}+3 \mathrm{H}_{2} \), it is observed that
\( \frac{-d\left(\mathrm{NH}_{3}\right)}{d t}=k_{1}\left(\mathrm{NH}_{3}\right), \frac{d\left(\mathrm{~N}_{2}\right)}{d t}=k_{2}\left(\mathrm{NH}_{3}\right), \frac{d\left(\mathrm{H}_{2}\right)}{d t}=k_{3}\left(\mathrm{NH}_{3}\right) \)
What is the relation between \( k_{1}, k_{2} \), and \( k_{3} \) ?
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