1A. For a first order reaction, the rate will double if
a. Concentration of a reactant is doubled
b. Concentration of a product is doubled
c. Concentration of a reactant is squared
d. Temperature is raised two degrees
e. 2 moles of catalyst are added
1B. For a second order decomposition reaction (one reactant), if the concentration of the reactant is tripled, the rate:
a. Triples
b. Increases nine-fold
c. Decreases by one third
d. Stays the same
1. Let A B so rate(r) = k[A] this is first order reaction.where k is the rate constant of first order reaction ..........(1)
if the concentration is double then rate(r') = k[2A] = 2k[A] = 2r ( from (1) )
so if the concentration is double then rate is also double in case of first order reaction.so (a) correct matches.
2. A+A B so rate(r) = k[A]2 where k is rate constant of second order reaction..........(2)
if the concentration of the reactant is tripled, the rate(r') = k[3A]2 = k 9[A]2
So rate(r') = 9 k[A]2 using equation (2)
r' = 9 r
it increase nine fold as option (b) matches.
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