The decomposition of gaseous nitryl chloride, NO2Cl, on heating is thought to oc
ID: 793289 • Letter: T
Question
The decomposition of gaseous nitryl chloride, NO2Cl, on heating is thought to occur by the following mechanism: step 1) NO2Cl->NO2+Cl. step 2) Cl+ NO2Cl->NO2+Cl2.
d)assuming this mechanism is correct, which is the rate-determining step if the experimental rate law is first order in nitryl chloride? brefiely explain your answer.
e) assuming this mechanism is correct, which is the rate-determing step if the experimental rate law is second order in nitryl chloride> briefly explain your answer
PLEASE EXPLAIN WHY, THANK YOU
Explanation / Answer
Step (1) NO2Cl => NO2 + Cl
step (2) Cl + NO2Cl => NO2 + Cl2
(d) Step (1) is slow rate determining step
=> Rate = k1[NO2Cl]
=> rate law is first order in nitryl chloride
(e) Step (2) is slow rate determining step
=> Rate = k2[Cl][NO2Cl]
Step (1) is fast and in equilibrum:
K1 = [NO2][Cl]/[NO2Cl]
[Cl] = K1[NO2Cl]/[NO2]
Rate = k2[Cl][NO2Cl]
= k2 x K1[NO2Cl]/[NO2] x [NO2Cl]
= K1k2[NO2Cl]^2/[NO2]
= k[NO2Cl]^2/[NO2]
=> rate law is second order in nitryl chloride
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