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For the formation of phosgene from CO(g) and chlorine. `CO(g)+Cl(g)rarr CoCl_(2)(g)` the exermientally detrmined rate equation is, `(d[COcl_(2)])/(dt)=k[CO][Cl_(2)]^(2//3)` Is the following mechanism consistent with the rate equation `{:((i),Cl_(2)hArr2Cl,("fast")),((ii),Cl+COhArrCOCl,("fast")),((iii),COCl+Cl_(2)hArrCOCl_(2)+Cl,("slow")):}` |
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Answer» Multiplying equation (ii) by and adding (i), we get : ltbr `Cl_(2)2COhArr2COCI `K=([COCI]^(2))/([C_(2)][CO]^(2))` `[COCI=(K)^(1//2)[CI_(2)]^(1//2)[CO]" ".....(i)` Slowest step is rate determine hence, Rate =`k[COCI][CI_(2)]" "....(ii)` From eqs(i). and (ii) we, get Rate `=kK^(1//2)[CI_(2)][CI_(2)]^(1//2)[CI_(2)][CO]` Rate `=k[CI_(2)]^(3//2)[CO]` Thus, rate law is in accordane with the mechanism. |
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