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The reaction, \( \mathrm{X}+2 \mathrm{Y}+\mathrm{Z} \rightarrow \mathrm{N} \) occurs by the following mechanism
\( \mathrm{P} \)
(i) \( \mathrm{X}+\mathrm{Y} \rightleftharpoons \mathrm{M} \) very rapid equilibrium
W
(ii) \( \mathrm{M}+\mathrm{Z} \rightarrow \mathrm{P} \quad \) slow
(iii) \( \mathrm{O}+\mathrm{Y} \rightarrow \mathrm{N} \quad \) very fast
What is the rate law for this reaction
(1) Rate \( =k[Z] \)
(2) Rate \( =k[X][Y]^{2}[Z] \)
(3) Rate \( =[\mathrm{N}] \)
(4) Rate \( =k[X][Y][Z] \)
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