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Problems · Problem 6.7

Q.A reaction occurs in the following steps i. NO2(g)+F2(g)⟶NO2F(g)+F(g)\mathrm{NO_2(g) + F_2(g) \longrightarrow NO_2F(g) + F(g)} (slow) ii. F(g)+NO2(g)⟶NO2F(g)\mathrm{F(g) + NO_2(g) \longrightarrow NO_2F(g)} (fast) a. Write the equation of overall reaction.
b. Write down rate law.
c. Identify the reaction intermediate.

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Sum the steps (F cancels) →\to 2NO2_2 + F2_2 ⟶\longrightarrow 2 NO2_2F; the slow step dictates rate = kk[NO2_2] [F2_2]; F is the intermediate.

Step 1 (overall reaction). Adding step i. NO2+F2⟶NO2F+F\mathrm{NO_2 + F_2 \longrightarrow NO_2F + F} and step ii. F+NO2⟶NO2F\mathrm{F + NO_2 \longrightarrow NO_2F}: the F produced in i. is consumed in ii., leaving

2NO2(g)+F2(g)⟶2 NO2F(g)\mathrm{2NO_2(g) + F_2(g) \longrightarrow 2\ NO_2F(g)}

Step 2 (rate law). The slow step is the rate-determining step; its reactants give the rate law directly: rate = kk[NO2_2] [F2_2]. …

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