13.40 A reaction in which A,B, and C react to form products is zero order in A,
ID: 871267 • Letter: 1
Question
13.40
A reaction in which A,B, and C react to form products is zero order in A, one-half order in B and second order in C.
(b) What is the overall order of the reaction?
(c) By what factor does the reaction rate change if A is doubled (and the other reactant concentrations are held constant)? Express your answer numerically.
(d) By what factor does the reaction rate change if B is doubled (and the other reactant concentrations are held constant)? Express your answer numerically.
(e) By what factors does the reaction rate change if C is doubled (and the other reactant concentrations are held constant)? Express your answer numerically.
(f) By what factor does the reaction rate change if the concentrations of all three reactants are doubled? Express your answer numerically.
Explanation / Answer
A + B + C -------------------------> products
rate law fron data
rate = k [A]0 [B]1/2 [C]2
b) overall order = 2.5
overall order = 0 + 1/2 + 2 = 5/2 = 2.5
c) if A is doubled there is no change in rate
reason : rate = k [A]0. here rate is independent on concentration of A . on increasing or decreasing of A there is no rate change
d) rate increase 21/2 times increase (or ) rate increase 1.414times
rate = k [B]1/2
rate = k (2B)1/2
rate becomes = (2)1/2
e) rate becomes 4 times
R1= k[C]2
rate = k[C]2
= k (2C)2
= 4 R1
rate increases 4 times .
f) rate increase 25/2 (or) rate increases 5.65 times
rate1 = k [A]0 [B]1/2 [C]2
rate2 = k [2A]0 [2B]1/2 [2C]2
= 21/2+2 k [A]0 [B]1/2 [C]2
= 25/2 k [A]0 [B]1/2 [C]2
= 5.65 k [A]0 [B]1/2 [C]2
= 5.65 rate1
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