In: Chemistry
A. If the rate law for the reaction
2A + 3B products
is first order in A and second order in B, then what is the rate
law?
B. A reaction was found to be third order in A. If the
concentration of A is increased by a factor of 3, Then how much the
reaction rate will be affected?
C. The overall order of a reaction is 2. What will be the unit
of the rate constant? Show calculation.
D. A compound decomposes by a first-order process. If 25.0% of
the compound decomposes in 60 minutes, what is the half-life of the
compound?
E. What is the frequency factor in the Arrhenius equation?
A. If the rate law for the reaction
2A + 3B products
is first order in A and second order in B, then what is the rate law?
keep elementary rate:
RATE = -k*[A]^a [B]^b
a = 1 and b = 2 then
RATE = -k*[A] [B]^2
B. A reaction was found to be third order in A. If the concentration of A is increased by a factor of 3, Then how much the reaction rate will be affected?
the rate will be affected
[3A]^3 = 3^3 = 27 times faster!
C. The overall order of a reaction is 2. What will be the unit
of the rate constant? Show calculation.
rate = -k*C^2
rate = mol/L-s
C = mol/L
then
mol/L-s = k * (mol/L)^2
L/mol-s = k
D. A compound decomposes by a first-order process. If 25.0% of the compound decomposes in 60 minutes, what is the half-life of the compound?
half life is given as
0.693/k
we need to find k
log(A0/A) = kt/2.303
substitute for 0.25
log(1/0.75) = k*(60/2.303)
k = log(1/0.75) *(60/2.303) = 3.255025
then
HL = 0.693/k = 0.693/3.255025 = 0.212901 minutes
E. What is the frequency factor in the Arrhenius equation?
is a factor that corrects all interactions between molecules