A reaction is second order in NO2 and zero order in CO. What is its rate law?
Arate = k[NO2][CO]
Brate = k[NO2][CO]^2
Crate = k[NO2]^2
Drate = k[NO2]^2[CO]
Answer & Solution
Correct answer: C. rate = k[NO2]^2
1. Second order in NO2 fixes the exponent on [NO2] at 2.
2. Zero order in CO fixes the exponent on [CO] at 0.
3. Any quantity raised to the power zero equals 1, so [CO]^0 is simply 1.
4. The CO term therefore drops out and the rate law is rate = k[NO2]^2.
5. Writing rate = k[NO2]^2[CO] keeps a first order CO term that the data ruled out.
_Source: OpenStax Chemistry (CC BY 4.0), Ch 12 "Kinetics", section 12.3 Rate Laws_
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