What is the rate equation
rate = k[A]ˣ[B]ʸ
k = rate constant
x = order of reaction with respect to A
y = order of reaction with respect to B
How to fin the overall order of a reaction
the powers added together in the rate equation
e.g. rate = k[H]¹[Cl]² overall order = 3
Using rate = k[A]ˣ, if x=0. What is the order with respect to that reactant. What will the rate equation be and how does it affect the rate
zero order with respect to A. Rate = k[A]⁰ -> rate = k so the rate does not depend on the concentration of that particular reactant
Using rate = k[A]ˣ, if x=1. What is the order with respect to that reactant. What will the rate equation be and how does it affect the rate
first order with respect to A. Rate = k[A]¹ -> rate = k[A] so the rate is directly proportional to the concentration of that reactant (if [A] doubles the rate doubles)
Using rate = k[A]ˣ[B]ʸ, if x=2. What is the order with respect to that reactant. What will the rate equation be and how does it affect the rate
second order with respect to A. Rate = k[A]² if [A] doubles the rate quadruples
How do you find the orders w.r.t reactants and how
experimentally, to find the order w.r.t one particular reactant we need to change the concentration of it and see what happens to the rate. To find the effect on rate we measure the amount of product made (or reactant used)
Common variables to measure change in concentration
mass lost, pH, colorimetry, volume of gas, conductivity, quenching titration (take sample, stop reaction, test sample)
Name the 4 ways to find the order w.r.t a particular reactant
multiple trials, single trial, quenching, clock reaction
How to find the order w.r.t a particular reactant - Multiple trials
we are changing the conc of one reactant (5 trials, 5 concs) but keeping initial conc of other reactants the same, measure chosen variable at set time intervals, plot a conc vs time graph, calculate initial rate by tangent at t=0 as at initial rate the other reactants concs are constant, calculate gradient then draw a rate vs conc graph to find the order
How to find the order w.r.t a particular reactant - Single trial
do one trial and look at how the conc of one reactant changes as the reaction progresses, all other reactants must be in large excess so effectively the conc stays constant, plot a conc vs time graph to find order. If possibly first order check for half life but if not clear find the gradient (rate) at 5 different conc on the curve and plot a rate vs conc graph
How to find the order w.r.t a particular reactant - Quenching
variation on single trial - small samples of the reaction mixture are removed at regular time intervals, samples are
immediately quenched to stop the reaction, by putting them into an ice bath to lower the temperature, sample is then analysed,
e.g. by titration.
How to find the order w.r.t a particular reactant - Clock reaction
do multiple trials (5) and change the conc of one of the reactants, measuee time taken for the reaction to reach a fixed point when a set amount of product is made (usually colour change). The time is converted to rate by doing 1/time. It is important that only a small % of reactants have reacted as we can assume the conc of all the other substances are effectively constant, as for initial rates. This is repeated, changing the initial conc of the reactant but keeping the others the same. This allows for the measurement of the initial rate of reaction by simply recording the time it takes for the observable endpoint to appear.
Progress curves - concentration against time graph of zero order
https://chem.libretexts.org/@api/deki/files/8555/Image01.jpg?revision=1&size=bestfit&width=253&height=244
Progress curves - concentration against time graph of first order
https://lh5.googleusercontent.com/proxy/KWu_zCFNlD1_Pdx8OyqLXxC0OfDRmsk25K3EpWfTqeBX_q87GXR0pgpMqf8PuypC0PY89tRM-_eoI48UBZae5aljc8Tu6D3h7htLCuoGRusGOUi3Ryqvvpsy13zFoZaqKgZ_7zlTtv4wOl4FwMm8MQ
Progress curves - why is the first order graph of conc against time special
it has an exponential shape so for the first order reaction the half life is constant (time taken for half the reactant to get used up).
https://chem.libretexts.org/@api/deki/files/17871/firstorderint_lin.png?revision=1
Progress curves - concentration against time graph of second order
https://lh6.googleusercontent.com/proxy/OHxlISNS-IzNblMGXijDu6Z2cVC8sPvFECoEUbv5zyjjKUVZEPYsav20VQsEIl7mxojPuhcvAgYnlhSAMys-Y_QLr-NBVyAqI7_V-LqLjcD_etjBuO32qWAMwE6m3EULLkgWFNwY6IgFlB_tlMBIIUI
Progress curves - rate against concentration graph of zero order
https://lh6.googleusercontent.com/proxy/hzXn-lbFNMDUBKdIYua5Sgk88OLlvbhAcIpKhY5_yvJNGee7Wk19xVtAkJRcHnofLPg6muGAq0aQAV8uSF4DWA6hO7Y_yn71f3BqPaOLmRjnyFU8YHXAOwLuTAYglSX6UyV03AiRY2EO2UxLFLUL
Progress curves - rate against concentration graph of first order
https://lh4.googleusercontent.com/proxy/PSmxwntK1g08B9UcJ-HYnbTjnQ1rQyDquNKmsPC-VvT_0RpAcXHA7FRlKoA2ApNdwDeb0WeIf0czaPn_ztjL1tii2wuSNqPxrSj0_ERb04xZ-mR6MMW0VLZeNMxL78jRALrvouj1VFH3orQYpLxBQw
Progress curves - rate against concentration graph of second order
https://lh5.googleusercontent.com/proxy/EGPfIfZX-VTYeiq1ZEr8f3gCtB_s84yK7qLqfKOgoSixBFurExqgdhtehogzYfCmZrHVPA2QYnzrYhqGAnYbf7DO4lkkrJhzac5U4vWjfyJf4dIbMvBd9IBv_7it9Cml5XVVA67xMWNZIxgzKEstgmQ
all progress graphs = https://s3.eu-west-2.amazonaws.com/elements.cognitoedu.org/7404157d-aa19-451b-b7f0-cf068583d47c/reaction-order-rate-concentration-graphs.png
Progress curves - rate against concentration graph of second order with concentration squared
https://o.quizlet.com/0tl-8JpDOvs9Bh-yTihvBg.png
Many reactions occur in more than one step so we can propose a mechanism for the reaction which shows the separate steps.
e.g. A + B -> Q
Q + B -> D
What is the overall equation for this reaction
A + 2B -> D
Mechanism of a reaction
A + B -> Q
Q + B -> D
What is Q in this reaction
the intermediate
When finding the mechanism of a reaction and the separate steps. The steps occur at rates and what is the slowest step called and why is it important
the rate determining step (RDS) and the overall rate of reaction depends on this slow step. Only chemical which are involved in or before the rate determining step affect the overall rate of reaction
If the reaction has the separate steps:
A + B -> Q step 1 slow
Q + B -> D step 2 fast
what is the rate equation and why
rate = k[A][B]
because the mechanism shows one lot of A and one lot of B in or before the RDS therefore they are both first order