unit 8 Flashcards
the rate of a chemical reaction measures
how fast the reaction occurs
what happens when a chemical reaction happens at a fast rate?
large fraction of molecules react to form products in a period of time
what happens when a chemical reaction happens at a slow rate?
relatively small fraction of molecules react to form products per unit time
rate definition
change in a quantity (concentration of reactant/product) per unit time
rate (reactant) equation
- (change in concentration) / (change in time)
reactant concentration _ over time
decreases
product concentration _ over time
increases
rate (product) equation
(change in concentration) / (change in time)
what happens to the rate of reaction when a coefficient is before the element/compound in a balanced equation?
multiply the rate by the positive reciprocal of the coefficient
reactant concentration _ with time as reactants are consumed
decreases
product concentration _ with time as products are formed
increases
4 factos that affect the rate of the reaction
physical state
reactant concentration
reaction temp
presence of a catalyst
the more readily reactant molecules collide with each other, the more _ they react
rapidly
reactant concentration and reaction rate proportion
directly proportional
temp and reaction rate proportion
direct (generally)
catalyst definition
agents that increase reaction rates without themselves being used up
2 methods of measuring reaction concentrations
spectroscopy
monitoring the pressure of gases
how to measure the reactant concentrations from spectroscopy:
measure the change in absorbance of light
calculating concentration using beer’s law
rate law definition
relationship between rate of reaction and concentration of the reactant
rate law formula
rate = k[A]^n
k: rate constant
n: reaction order
zero order reaction
n = 0
-molarity of reactant decreases linearly
-reaction does not slow down as [A] decreases
-rate order is the same at any [A]
-amount of reactant available for reaction is unaffected by overall quantity of reactant
first order
n = 1
-rate slows as reaction proceeds
-rate is slower as reaction proceeds
-rate is directly proportional to concentration
second order
n = 2
-rate is proportional to the square of [reactant]
-rate is more sensitive to [reactant]
-rate slows faster than first order reaction
the order of a reaction can only be determined by _
experiment
method of initial rates
initial rate is measured by running the reaction several different times with different initial [reactant] to determine the effect of [reactant] on rate
initial rate definition
a short period of time at the beginning of a reaction
if reaction is 0 order in A
-initial rate is independent of [reactant]
-rate is the same for all measured initial concentrations
-rate = k
-units: M x s^-1
if the reaction is 1st order in A
-when [A] doubles, rate doubles
-inital rate is directly proportional to initial concentration
-rate = k[A]^1
-units: s^-1
if the reaction is second order in A
-when [A] doubles, rate quadruples
-relationship between concentration and rate is quadratic
-rate=k[A]^2
-units: M^-1 x s^-1
overall order
sum of exponents m and n
m = A’s reaction order
n = B’s reaction order
differential rate law (first order) equation
k[A] = -(Delta [A]) / (delta t)
integrated rate law (first order) equation
ln [A]t = -kt + ln [A]0
or
ln ([A]t) / ([A]0) = -kt
[A]t is [A] at any time
k is rate constant
[A]0 is the initial [A]
integrated rate law graph
straight line
y=mx+b
slope = -k
time on x axis
ln[A]0 on y axis
slope is not negative, but rate constant is always positive
differential rate law (second order) equation
k[A]^2 = -(Delta [A]) / (delta t)
integrated rate law (second order) equation
(1) / ([A]t) = kt + (1 / [A]0)
integrated rate law (zero order) equation
k = -(Delta [A]) / (delta t)
differential rate law (zero order) equation
[A]t = -kt + [A]0
half life definition
time required for a reactant to fall 1/2 of its original value
first order half life equation
0.693 / k
for first order reactions, t1/2 is
independent of initial concentration
-even though [reactant] changes as reaction proceeds, half life is constant
second order half life equation
1 / (k[A]0)
zero order half life equation
[A]0 / 2k
half lives of zero and second order reactions depend on
initial concentration
rate law zero order
k[A]⁰