Kinetics Flashcards
Rate of conversion (J)
J = -(1/a)(dnA/dt) = -(1/b)/(dnb/dt)
A & B = -, C & D = +
Reaction rate (r)
r = J/V = -(1/aV)(dnA/dt)
Order of the reaction
The power to which the concentration of a reactant is raised
Rate Law
r = d[P]/dt = k[A]^a[B]^b,
Expressed as a function of the reactant concentrations, set in square brackets, at constant temp
Rate constant
k
Partial orders
a & b
Total order (n)
Sum of the partial orders
First order reactions
aA -> products
r = k[A] = -(1/a)(d[A]/dt)
[A] = [A]o•e^(-ka•t)
ln([A]/[A]o) = -ka•t
First order half life
t(1/2) = ln2/ka
Second order reactions
2 types:
aA -> products
aA + bB -> products
Second order reactions: type 1
d[A]/dt = -ka[A]^2
ka = a • k
Second order half life:type 1
t(1/2) = 1/([A]o•ka)
Second order reaction type: 2
r = k[A][B]
{1/(a[B]o-b[A]o}ln{([B]/[B]o)/([A]/[A]o)} = kt
Nth order reaction
([A]/[A]o)^n-1 = 1+[A]^n-1•(n-1)•ka•t
t(1/2) = (2^n-1 - 1)/(n-1)•[A]o^n-1•ka
Zeroth order reaction
r = d[A]/dt = -ka
[A] = -Ka•t + [A]o
t(1/2) = [A]o/2ka