Module 5.1 Flashcards
Meaning of rate of reaction
it is the change in concentration of reactant or a product per unit time .
what is the order
the order , with respect to a reactant is the power to which the concentration of the reactant is raised in the rate equation .
what is the rate constant k
is the constant that links the rate of equation with concentration of the reactants raised to power of their orders in the rae equation .
the rate equation
the rate equation for a reaction A+B–. C is given by ; rate =k[a[m[B]N , where m is the order of reaction with respect A and n is the order of reaction with respect to B .
what is the overall order
of a reaction is the sum of the individual orders m + n .
We learnt about collision theory in book 1 , how is this in relation to the rate equation
-reactions only proceed when successful collisions occur - that is particl emust collide with the correct orientaiton and with enough energy to overcoe the activation barrier 9i.e activation energy 0 . HOw frequently these successful collision soccur will determine the rate of a reaction .
what is the rate of reaction equaiton
rate of reaction = change in conc of reactant or product / time
How are rates measured
rates measured in moldm-3s-1 , (mol per dm3 per s 0 , but other units may sometimes , be more appropriate . If a reaction is very slow , a larger time scale (such as min 0 may be used . In this case , the units would e mol dm-3 min-1 . I
-If it is difficult to measure the concentration , you may use another measurement which allows you to monitor the amt of a product or reactant
. For example , if a gas is porduced in a reeaction , you could measure hte volume of gs porduced over a time period .
what is the order of reaction used for
-If more than one reactant is invovled in a reaction , each reactant can affect the rate of the reaction differently . The effect of the individul is described by stting an order with respect to each reactant . COnsider a reactant A , it is concentration affects the rate of a reaction . This can be expressed mathemticlly check page 10 .
learning tip about square brackets
square brackets are used to show a concentration
-the x denotes any power to which the concentration of a is raised .
fish sign means is proportional to .
meaning of zero order
zero order is if the order of 0 with respect to reactant A then rae is propotional to A to power of zero .
-THe rate is unaffected by changing the concentration of A .
-Note that any number to the power 0 is equal to 1 ..
meaning of first order
-If the order is 1 with respect to a reactant B then rate is proportional to [B]1 .
-If [B] , increased by 2 times , the rate also increases by 2 times .
-if [B] is increased by 3 times , the rate also increases by 3 times .
meaning of second order
If the order is 2 with respect to a reactant C , then rate is [c]2 . The change in rate will be equal to the change in concentration squared .
-If [C] increased by 2 times , the rate increased by 2squared = 4 times
-If [C] increases by 3 times , the rate increases by 32 squared , 9 times .
Rate reactions and overall orders
Chemist use rate equations to mathematically express the influence each reactant has on a reaction .
-Take the reaction A+B+C—. products .
-If the order for A , B and C were x y and z perspectively you could wirte the following expression for the rat .
rate is proportionla [A][B][C]
-The sign for proportional can be removed if a constant is addded into the equation . Chemists use the rate constant , k , he rate constant links the concentrations and orders of reactants to the rate . The expressiono then becomes a rate equation .
if any reactant is zero order , willit appear in the rate equation
no , that is because it does not affect the rate . For instance , in our example above , where the order are 0 , 1 , and 2 , with respect to A , B and C , the rate equation would be
rate=k[A]0[B]1[C]2
however , BECAUSE ANY NUMBER raised to the power of zero is one ,t he reactant can be remove d, powers of 2 can also e omited from outisde the brackets . but do not remove the reactant fromt he rate wquaiton .
rate ewution will become
RATE=K[B][C]2
what will the overall order of this reaction be
the overall order of a reaction is the sum of the individual orders .
-In this exampe abobe rate =k[B][C]2 and the overall order is +=
-the rate equation cn be determined only from experimental results . NOte that the orders are not the same as the numbers used to balance an equaiotn .
check calculating the value and units for rate constants
zero
first
second
third
do worked example 1 - page 12 - 13
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what is the half life
the half life of a reactant is the time taken for the concentration of the reactant to reduce by half
why do chemists use concentration time graphs
chemists can use concentration time graphs to fi dout about the rate and order of reactions . Theshapes of conentration time graphs depend on the order of the reaction .
finding rates from concentration - time graphs (1) - what can we measure for reactions involving cids or bases
pH changes by carrying out titrations .
pH changes using a pH meter
for reactions that produce gases , what can we measure
the change in volume or pressure .
-the loss in mass of reacants .
for reactions that produce visual changes what can we measure
the formation of a precipitiate
-colour change
how are visual changes monitoed
using a colorimeter , as the intensity of colour is directly related to the concentration of a coloured subtance .
example used - sulfur dichlordie dioxide decomposes t produce sulfur dioxide and chlorine
-was monitotired conc every 500 seconds , and hen plotted .
RATE OF REACTION found by taking a gradeint at the purple line , As the dat produces curve ,t angent
where does the tangent on page 1 shows lines at
t=0 and t=3000s
how is the rate calculated on page 14 (1)
after t=0 , (shown by the red , steeper tangent line ) .
Initial rate = change in concentration SO2CL2/ time for the change to take place .
0.500-0.00/3300-0
=1.5*104moldm-3s-1
how is the rate calculated on page 14 (2)
after t=3000s (shown by the green shallower tangent line )
rate = change in concentration of SO2CL2/ time for the change to take place
(0.38-0.14)/(4000-0)
=6.0*10-5moldm-3s-1
check the symbol for half life
what do the graphs look for zero order and first order reactions . in figure 2 and figue 3
how to workout the worked examples 1
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how do u use half lives to find the rate constant
because first order reactions have constant half-lives , the valule of the half-life , can be used to determine the value of the rate constant .
-The half-life and the rate constant are relaed bby the following equation .
K=In2/tand a half this equation ONL APPLIES TO FIRST ODER REACTIONS . other order reactions have no half lives .
check worked example 2 p.g 15
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initial rates (1)
The rate at the very start of a reaction given the shorthand , t=0 , (which stands fo r time =0) , is known as the initial rate . Ifa tangent line is drawn at t=0 , on a concentration-itme graph, the gradient of this line is equal to the initial rate .
how to determine the order with respect , to each reactant , you carry out he reaction several time .
-to determine the order with respect of each reactant , to carry out the reaction sseveral times . Each time , you vary the concentration of one of the reactants . You can obtain the initial rte for eaach of these different concentrations and plot , the result , on a graph to produce a rate-concentration graph for each reactant ..
clock reactions (1)
Some reactionsNwill produce visible changes such as the formation of a ppt , or a dramatic colour change . Measuring the time taken for such changes to occur canbe used o find out how concenration affects the initial rate .
-Only the initial rate is consididered as the visile changes that occur are assumed to last occur as the reaction first happens , the rate is GENERALLY FASTEST .
-The time taken , for the visible event to occur is inversely proportional to the initial rate ;
the shorter the time taken for the change the faster the reaction must be . this cn be expressed mathematically proprotional 1/t
this can be expresed mathemastically as rate proportional 1/t
this means that when a graph is plotted 1/t is taken as a good approximation of the initial rate .
example of this rection between sodium thisosulfate , hcl
a cross is drawn on a piece of paper and placed under a beaker . The reactants are then added together in the beaker . The products , form a cloudy o solution as a ppt is ormed , so a stopwatch is used to time how long takes for the cross under the beaker to be obscured y solutoin.
prt 2 - odiumthiosulfate
the experiment , is then carried out using various concentrations of both sodium thiosulfate and hydrochloric acid to determine how thier concnerations affect the rate . graph 1/t , against concentation is plotted .
check f-1 , nd the iodine clock reaction(pagee 16)
What happens rate-concentration graphs - zero order
If the order is 0 , with respect to a given reactant , A , the rate-concentration graph will appear as in .
THE figure 2 , on 17 shows
-This graph , shows the rate proportional to A .
-Changes in the concentration of this rectant have no effect on the rate .
what happens in a first order reaction
-if the first order is 1 with respect to given reactant , B , the rate concentration graph will apper as in .
-This graph shows the rate proportional B .
-If the concentration of reactaaant B , is doubled , the rate will double .
-If the concentration of reactant B , is tripled the rate will triple .
-If the concenration of reactant B , is increased 100 fold the rate will increase 100 fold .
Determining , the rate constant from first order rate-concentration graphs
If a rate-concnetration , is first order , with respect , to a given reactant , it is possible to use the graph to determine the ate cosntant , k .
For the first order reactions ;
-Rate proportional [reactant]
-this means the rate=k[reactant]
If we arrange this to find k ;
k=rate/concentration
-Rate is ploted on he yaxi s, ont he rate-concentration graph ,
and conentration is plotted on the xacis so calculating , the rate is the samr as calcualting the gradient , as gradient =change in y divided by change in x .
-tje imot pf l , will depend on the raye equation for hthe givenr eaction.
what is a second order reaction
-if the order is 2 , with respect to a to a given reactant C , the rate cocnentration graph will apper as figure 4 .
–This graph shows the rate proportional [C]2
-if the concentraiton of reactant C is doubled the raye will incfrase by 2 squard .
-if the concenration b is tripled the rate will incrase by 3 squared .
if the concnetratio of rectant c is increased 100 fold , the rate will increase by 100 squared .
a reaction mechanism is what
a series of steps that together make up the overall reaction .
what is the rate determinising step
it is the slowest step is the slowest step in the reaction mechnism of a multistep reaction .
what is an inermediate
it is a species formed in one step of a multi-step reaction that is used , up in a subsequent step annd is not seen as either a reactant or a porduct or the overall eequation .
why is the rate determinig step useful for
reactions can occur in one step or in many steps Experimental resutls can be used to predict , how many steps will occur during reaction . The series of steps that occur during a reaction is called a reaction mechnaisms .
what will the slowest step in the reaction dictating
how quicklyt he reaction wil proceed . This slowest step is called the rate -d etermining step .
-when you measure the rate of any reaction , that has a multi-step reaction mechanism , you are effectively measuring the rate of this determinig step .
predicitng reaction mechanims from rate equaiton
-As you have learnt in previous topics , some reactants hvae no influence on the rate of reaction .
-Thee reactant have an order of zzero and do not appear in the rate equaiton .
-I fthey have no influence on the rate , they cannot be involved in the rate-determinig step .
check page 19 for hdyrolysis of the bromoethane
-What does this rate equation show .
-THIS SHOWS that only the concentraiton of CH3BR influences the rate . Therefore , only this moleucle is involed int he rate-determingi step .
step 2 - bromoethane
this suggests that the rate dereminig step must involve the c-BR bond breaking , breaking the OH- can take its place .
S1-CH3BR–CH3++BR-
STEP2;CH3+ +OH—-CH3OH
step 3
in this example , CH3+ must be involved in the second step , in the order to be used up as it does not apper in the overall equation .
-The sepecies invovled in the two steps , cancel one aonther to leav the overall equation .
Orders and the rate determini step -what doe the order show for the bromoethane hdyrolysis
-check the rate equaiton ofr htis
[CH3BR] is raised to the power of 1 , ( rememebr ]a 1 is not hown in the rate equaiton )
-This means tht the rate-determinig step invovles just one moelcule CH3br
consider the hydrolysisi of bromoethane - what if it was order is 2
-If the order is 2 with respect go 2e.g rate =k[x]2 , there will be wo moleucles of this reactant invovled in the rate-deerminign step . Doubling the concentration of each of the two
moelucle will double the rate so verall the rate is quadurpled .
what should be in place to be able to work out the reaction mechanism
a rate - determining step is given that involves the number of moleucles shown by the order for that reactant .
what should be in place to be able to work out the reaction mechanism (2)
subsequen steps are hown that eventually geenrate the products shown in the balanced equation
what should be in place to be able to work out the reaction mechanism (3)
any intermediate generated is not present int he overall equation (i.e it is used up within subsequent steps ).
learning tip on page 20
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worked example page 20
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what is the arnhenius plot
is a graph of ln k=lnA -Ea/R
*1/T where ln k is plotted against 1/T
rate constant k
reacttion rates depend on both the rate constant and the concentrations of the reactants presents in the rate equatioN
check the rate ewution
-The larger the value of K , the faster the reaction .
the effect of temperature on the rate constant k (1)
an increase in temperature , gives more energy to the molecules . This means that collisions are more frequent , and more of the collisions exceed the activation energy of the reaction . EXPLAINED IN BOLTZMANN DISTRIBUTION BOOK 3.2.
the effect of temperature on the rate constant k (2)
the key factor affecting the reaction rate is the number of collision that exceed the activtion energy . This mean that rate increases with temperature by much more thn can be expallined soley from any increased frequency of collisons .
what happens in this reaction , if the rate increases with increasing temperature , when the concentrations are the same , then the rate constant must increase with temperature .
-raising the temperature speeds up the rate of most reactions by incresin the rate constant k .
-for many reactions , the rate doubles increse in 10 degrees in tmp . This reflect the getaer number of recting particles that exceed the acctivation energy .
proportionality of doubling the rate , what does this mean
-typically , doubling the rate will double the value of the rate constant k
-check figure 1
what is the ARRHENIUS equation showing
write equation
-what does the equation mean
-arrhenius equation is used to describe , mathematiclly , the exponential relationship between the rate constant and the temperature .
k-rate constant
Ea -activation energy
T - temperature (in kelving )
e=mahematicl cosntant value with value 2.71828 -log
A - preexpoentnial factor
R-gas constant .
what can the arrhenius equation tell us (1)
to be able to react , moleucles have to collide with enough energy , to overcome the activation energy . It has been found that at any given emperature , T, rate constant , k is proprotional to e-EA/RT , this is expressues amthetmitcallyas .
what can the arrhenuius euation tell us (2)
this can be turned into an equation by adding a constant , the ‘pre-expoenntial facotr’ , A giving k==Ae -Ea/R . This is the Arrhenuius ewqution
What does the Arrhenius equation tell us (3)
-Temperature , T, and the rate constant , k , are related exponentially .
-As temperture increases , the rate cosntant increases .
what does adding a catalyst do to the rate constant , k .
-adding a catalst provides an alternative reaction path , with a lower activiation enery . If ou follow this through maethematiclaly , a lower value of Ea increases the rate constant K .
Taking logarithims of thr ARRHENIUS EUATION
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check the end of page 22 .
figure 2 , and worked example
im being lazyyy
what does the equillibrium law state
state that for the equilibirum look a tpage 23
what dos a homogeneous equlibirum show
it is an equlibirum in which ALL THE SPECIES , making up the reactants and products , are in the same physical state .
what does a heterogenous equlibrium show
it is an equlibirum in which species making up the reactants and products are in different physical states .
dynamic equlibrium , what is it and Kc
-not all reactions go to completion . An equiliibirum ma be established , this is when the raes of the forward and reverse reactions are equal .
in a dynamic equlibirum 0 does equilibrium occur straight away
no , the reverse reaction cannot take place until the forward reaction has produced a high enough concentration of the product .
example of decompostion of n204 a dynamic equlibrium ,w hat happens (1)
-at first the cocnentration of N204 is high and the concentration of N02 , is zero .
example of decompostion of n204 a dynamic equlibrium ,w hat happens (2)
as the reaction proceeds , the concentration of N204 , falls and the cocnenration of N02 , rises . The reaction mixture , appers , colourless intiially then a pale brownn colour will appear .
example of decompostion of n204 a dynamic equlibrium ,w hat happens (3)
once equliibrium is reached he concentration of each subsance remians unchanged - the reaction has a brown appearnce .
example of decompostion of n204 a dynamic equlibrium ,w hat happens (4)
if conditions change , the equilibrium will need to be re-establsihed . A colour change will be observed until the equilibrium is resored .
According to to the equlibrium law - for the reaction .
-equilibirum consant Kc , can be calcualed as follwos .
-once an equilibrium is established , kc remians constant unless the emp of reaction changes .
units of Kc dh3dk page 23
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how to dertermine concentrations at equlilrium - what are the two common ways
-in order to determine a value for Kc , cocnentration of reactans and prodcuts at equlibirum need ot be known .
titrtion using a colorimeter
how to determine the concentrations at equilibirum - TITRATION
titrating one of the reactants or products agaisnt a subance , with a known concetration will enable us to find out how much of the reactant / product is present .
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how to determine the concentrations at equilibirum - TITRATION DRAWBACKS
-Reactant or product has to be removed from the reaction mxiture , and this will alter the position of the equilibirum .
-Also other subtnces may be present that can affect he results of titrations
how to determine the concentrations at equilibirum - TITRATION DRAWBACKS (2)
e,g - if an alakli is used to titrate agaisnt the equlibirum subances in question and an acid catalsyt is also used , both equilibirum subtance and atalyst will react with the alakli .
-The amount o any such sucbances must be carefullyd etermined when the titration results are used to determine equiilbrium cocnetations .
equilibirum investiagion and worked example 1
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calcualting unknown equlibirum concentraitons - for the balanced equation , what are the two things you can find (stochiometric)
-the reactaitng quntities neeedto prepare a requried quanitty of a product .
-the quantities of product formed by reching togeher known qunatities of reactnt .
what does kc help us to determine
helps us to deterime the equilibrium concentrations of the components in a equilibirum mixtrue .
worked example 2
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learning tip on page 25
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if a heterogenous equilibrium is present then what happens to the molar concentration and volumes
-molar concenraions for solids and pure liquids do not change BECAUSE THEIR VOLUME REMAINS CONSNA .
how does expression of rkc change with heteroegenous equilibrium
-the concentraions of solid substances are not included in the expression .
-the concentrations of pure liquids are not included in hte xpression .
e.g – when phosphorus reacts with oxygen , following hetereogeneous equillibrium is esbalished check p.g 25
example of a heterogenous catalyst - when phosphorous reacts with oxygen , the following equilibrium is established .
P4(s)+502P4O1-
What is a mole fraction ?
The mole fraction of a substance is a measure of how much of a given substance , is present in a reaction mixture .
What is the partial pressure ?
The partial pressure of a substance is the pressure an individual gaseous substance would exert if it occupied a whole reaction vessel on its own.
How is the mole fraction of a substance calculated ?
mole fraction Xa = number of moles of substance A / total number of moles of all substances .
How can we calculate the partial pressure if we know the total pressure ?
For substance A ; partial pressure , PA = mole fraction * total pressure
The concentration of a substance is proportional to its partial pressure .