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1
3005-3008
Thus, we can say that: Rate law for any reaction cannot be predicted by merely looking at the balanced chemical equation, i e , theoretically but must be determined experimentally In the rate equation (3
1
3006-3009
e , theoretically but must be determined experimentally In the rate equation (3 4) Rate = k [A]x [B]y x and y indicate how sensitive the rate is to the change in concentration of A and B
1
3007-3010
, theoretically but must be determined experimentally In the rate equation (3 4) Rate = k [A]x [B]y x and y indicate how sensitive the rate is to the change in concentration of A and B Sum of these exponents, i
1
3008-3011
In the rate equation (3 4) Rate = k [A]x [B]y x and y indicate how sensitive the rate is to the change in concentration of A and B Sum of these exponents, i e
1
3009-3012
4) Rate = k [A]x [B]y x and y indicate how sensitive the rate is to the change in concentration of A and B Sum of these exponents, i e , x + y in (3
1
3010-3013
Sum of these exponents, i e , x + y in (3 4) gives the overall order of a reaction whereas x and y represent the order with respect to the reactants A and B respectively
1
3011-3014
e , x + y in (3 4) gives the overall order of a reaction whereas x and y represent the order with respect to the reactants A and B respectively Hence, the sum of powers of the concentration of the reactants in the rate law expression is called the order of that chemical reaction
1
3012-3015
, x + y in (3 4) gives the overall order of a reaction whereas x and y represent the order with respect to the reactants A and B respectively Hence, the sum of powers of the concentration of the reactants in the rate law expression is called the order of that chemical reaction Order of a reaction can be 0, 1, 2, 3 and even a fraction
1
3013-3016
4) gives the overall order of a reaction whereas x and y represent the order with respect to the reactants A and B respectively Hence, the sum of powers of the concentration of the reactants in the rate law expression is called the order of that chemical reaction Order of a reaction can be 0, 1, 2, 3 and even a fraction A zero order reaction means that the rate of reaction is independent of the concentration of reactants
1
3014-3017
Hence, the sum of powers of the concentration of the reactants in the rate law expression is called the order of that chemical reaction Order of a reaction can be 0, 1, 2, 3 and even a fraction A zero order reaction means that the rate of reaction is independent of the concentration of reactants 3
1
3015-3018
Order of a reaction can be 0, 1, 2, 3 and even a fraction A zero order reaction means that the rate of reaction is independent of the concentration of reactants 3 2
1
3016-3019
A zero order reaction means that the rate of reaction is independent of the concentration of reactants 3 2 3 Order of a Reaction Calculate the overall order of a reaction which has the rate expression (a) Rate = k [A]1/2 [B]3/2 (b) Rate = k [A]3/2 [B]–1 (a) Rate = k [A]x [B]y order = x + y So order = 1/2 + 3/2 = 2, i
1
3017-3020
3 2 3 Order of a Reaction Calculate the overall order of a reaction which has the rate expression (a) Rate = k [A]1/2 [B]3/2 (b) Rate = k [A]3/2 [B]–1 (a) Rate = k [A]x [B]y order = x + y So order = 1/2 + 3/2 = 2, i e
1
3018-3021
2 3 Order of a Reaction Calculate the overall order of a reaction which has the rate expression (a) Rate = k [A]1/2 [B]3/2 (b) Rate = k [A]3/2 [B]–1 (a) Rate = k [A]x [B]y order = x + y So order = 1/2 + 3/2 = 2, i e , second order (b) order = 3/2 + (–1) = 1/2, i
1
3019-3022
3 Order of a Reaction Calculate the overall order of a reaction which has the rate expression (a) Rate = k [A]1/2 [B]3/2 (b) Rate = k [A]3/2 [B]–1 (a) Rate = k [A]x [B]y order = x + y So order = 1/2 + 3/2 = 2, i e , second order (b) order = 3/2 + (–1) = 1/2, i e
1
3020-3023
e , second order (b) order = 3/2 + (–1) = 1/2, i e , half order
1
3021-3024
, second order (b) order = 3/2 + (–1) = 1/2, i e , half order Example 3
1
3022-3025
e , half order Example 3 3 Example 3
1
3023-3026
, half order Example 3 3 Example 3 3 Example 3
1
3024-3027
Example 3 3 Example 3 3 Example 3 3 Example 3
1
3025-3028
3 Example 3 3 Example 3 3 Example 3 3 Example 3
1
3026-3029
3 Example 3 3 Example 3 3 Example 3 3 Solution Solution Solution Solution Solution A balanced chemical equation never gives us a true picture of how a reaction takes place since rarely a reaction gets completed in one step
1
3027-3030
3 Example 3 3 Example 3 3 Solution Solution Solution Solution Solution A balanced chemical equation never gives us a true picture of how a reaction takes place since rarely a reaction gets completed in one step The reactions taking place in one step are called elementary reactions
1
3028-3031
3 Example 3 3 Solution Solution Solution Solution Solution A balanced chemical equation never gives us a true picture of how a reaction takes place since rarely a reaction gets completed in one step The reactions taking place in one step are called elementary reactions When a sequence of elementary reactions (called mechanism) gives us the products, the reactions are called complex reactions
1
3029-3032
3 Solution Solution Solution Solution Solution A balanced chemical equation never gives us a true picture of how a reaction takes place since rarely a reaction gets completed in one step The reactions taking place in one step are called elementary reactions When a sequence of elementary reactions (called mechanism) gives us the products, the reactions are called complex reactions Rationalised 2023-24 69 Chemical Kinetics Example 3
1
3030-3033
The reactions taking place in one step are called elementary reactions When a sequence of elementary reactions (called mechanism) gives us the products, the reactions are called complex reactions Rationalised 2023-24 69 Chemical Kinetics Example 3 4 Example 3
1
3031-3034
When a sequence of elementary reactions (called mechanism) gives us the products, the reactions are called complex reactions Rationalised 2023-24 69 Chemical Kinetics Example 3 4 Example 3 4 Example 3
1
3032-3035
Rationalised 2023-24 69 Chemical Kinetics Example 3 4 Example 3 4 Example 3 4 Example 3
1
3033-3036
4 Example 3 4 Example 3 4 Example 3 4 Example 3
1
3034-3037
4 Example 3 4 Example 3 4 Example 3 4 Solution Solution Solution Solution Solution These may be consecutive reactions (e
1
3035-3038
4 Example 3 4 Example 3 4 Solution Solution Solution Solution Solution These may be consecutive reactions (e g
1
3036-3039
4 Example 3 4 Solution Solution Solution Solution Solution These may be consecutive reactions (e g , oxidation of ethane to CO2 and H2O passes through a series of intermediate steps in which alcohol, aldehyde and acid are formed), reverse reactions and side reactions (e
1
3037-3040
4 Solution Solution Solution Solution Solution These may be consecutive reactions (e g , oxidation of ethane to CO2 and H2O passes through a series of intermediate steps in which alcohol, aldehyde and acid are formed), reverse reactions and side reactions (e g
1
3038-3041
g , oxidation of ethane to CO2 and H2O passes through a series of intermediate steps in which alcohol, aldehyde and acid are formed), reverse reactions and side reactions (e g , nitration of phenol yields o-nitrophenol and p-nitrophenol)
1
3039-3042
, oxidation of ethane to CO2 and H2O passes through a series of intermediate steps in which alcohol, aldehyde and acid are formed), reverse reactions and side reactions (e g , nitration of phenol yields o-nitrophenol and p-nitrophenol) Units of rate constant For a general reaction aA + bB ® cC + dD Rate = k [A] x [B] y Where x + y = n = order of the reaction k = x Rate [A] [B]y ( ) ( ) = n concentration 1 = × where [A] [B] time concentration Taking SI units of concentration, mol L –1 and time, s, the units of k for different reaction order are listed in Table 3
1
3040-3043
g , nitration of phenol yields o-nitrophenol and p-nitrophenol) Units of rate constant For a general reaction aA + bB ® cC + dD Rate = k [A] x [B] y Where x + y = n = order of the reaction k = x Rate [A] [B]y ( ) ( ) = n concentration 1 = × where [A] [B] time concentration Taking SI units of concentration, mol L –1 and time, s, the units of k for different reaction order are listed in Table 3 3 Table 3
1
3041-3044
, nitration of phenol yields o-nitrophenol and p-nitrophenol) Units of rate constant For a general reaction aA + bB ® cC + dD Rate = k [A] x [B] y Where x + y = n = order of the reaction k = x Rate [A] [B]y ( ) ( ) = n concentration 1 = × where [A] [B] time concentration Taking SI units of concentration, mol L –1 and time, s, the units of k for different reaction order are listed in Table 3 3 Table 3 3: Units of rate constant Reaction Order Units of rate constant Zero order reaction 0 ( ) 1 1 1 10 mol L 1 mol L s s mol L − − − − × = First order reaction 1 ( ) 1 1 11 mol L 1 s s mol L − − − × = Second order reaction 2 ( ) 1 1 1 12 mol L 1 mol L s s mol L − − − − × = Identify the reaction order from each of the following rate constants
1
3042-3045
Units of rate constant For a general reaction aA + bB ® cC + dD Rate = k [A] x [B] y Where x + y = n = order of the reaction k = x Rate [A] [B]y ( ) ( ) = n concentration 1 = × where [A] [B] time concentration Taking SI units of concentration, mol L –1 and time, s, the units of k for different reaction order are listed in Table 3 3 Table 3 3: Units of rate constant Reaction Order Units of rate constant Zero order reaction 0 ( ) 1 1 1 10 mol L 1 mol L s s mol L − − − − × = First order reaction 1 ( ) 1 1 11 mol L 1 s s mol L − − − × = Second order reaction 2 ( ) 1 1 1 12 mol L 1 mol L s s mol L − − − − × = Identify the reaction order from each of the following rate constants (i) k = 2
1
3043-3046
3 Table 3 3: Units of rate constant Reaction Order Units of rate constant Zero order reaction 0 ( ) 1 1 1 10 mol L 1 mol L s s mol L − − − − × = First order reaction 1 ( ) 1 1 11 mol L 1 s s mol L − − − × = Second order reaction 2 ( ) 1 1 1 12 mol L 1 mol L s s mol L − − − − × = Identify the reaction order from each of the following rate constants (i) k = 2 3 × 10–5 L mol–1 s–1 (ii) k = 3 × 10–4 s–1 (i) The unit of second order rate constant is L mol–1 s–1, therefore k = 2
1
3044-3047
3: Units of rate constant Reaction Order Units of rate constant Zero order reaction 0 ( ) 1 1 1 10 mol L 1 mol L s s mol L − − − − × = First order reaction 1 ( ) 1 1 11 mol L 1 s s mol L − − − × = Second order reaction 2 ( ) 1 1 1 12 mol L 1 mol L s s mol L − − − − × = Identify the reaction order from each of the following rate constants (i) k = 2 3 × 10–5 L mol–1 s–1 (ii) k = 3 × 10–4 s–1 (i) The unit of second order rate constant is L mol–1 s–1, therefore k = 2 3 × 10–5 L mol–1 s–1 represents a second order reaction
1
3045-3048
(i) k = 2 3 × 10–5 L mol–1 s–1 (ii) k = 3 × 10–4 s–1 (i) The unit of second order rate constant is L mol–1 s–1, therefore k = 2 3 × 10–5 L mol–1 s–1 represents a second order reaction (ii) The unit of a first order rate constant is s–1 therefore k = 3 × 10–4 s–1 represents a first order reaction
1
3046-3049
3 × 10–5 L mol–1 s–1 (ii) k = 3 × 10–4 s–1 (i) The unit of second order rate constant is L mol–1 s–1, therefore k = 2 3 × 10–5 L mol–1 s–1 represents a second order reaction (ii) The unit of a first order rate constant is s–1 therefore k = 3 × 10–4 s–1 represents a first order reaction 3
1
3047-3050
3 × 10–5 L mol–1 s–1 represents a second order reaction (ii) The unit of a first order rate constant is s–1 therefore k = 3 × 10–4 s–1 represents a first order reaction 3 2
1
3048-3051
(ii) The unit of a first order rate constant is s–1 therefore k = 3 × 10–4 s–1 represents a first order reaction 3 2 4 Molecularity of a Reaction Another property of a reaction called molecularity helps in understanding its mechanism
1
3049-3052
3 2 4 Molecularity of a Reaction Another property of a reaction called molecularity helps in understanding its mechanism The number of reacting species (atoms, ions or molecules) taking part in an elementary reaction, which must collide simultaneously in order to bring about a chemical reaction is called molecularity of a reaction
1
3050-3053
2 4 Molecularity of a Reaction Another property of a reaction called molecularity helps in understanding its mechanism The number of reacting species (atoms, ions or molecules) taking part in an elementary reaction, which must collide simultaneously in order to bring about a chemical reaction is called molecularity of a reaction The reaction can be unimolecular when one reacting species is involved, for example, decomposition of ammonium nitrite
1
3051-3054
4 Molecularity of a Reaction Another property of a reaction called molecularity helps in understanding its mechanism The number of reacting species (atoms, ions or molecules) taking part in an elementary reaction, which must collide simultaneously in order to bring about a chemical reaction is called molecularity of a reaction The reaction can be unimolecular when one reacting species is involved, for example, decomposition of ammonium nitrite Rationalised 2023-24 70 Chemistry NH4NO2 ® N2 + 2H2O Bimolecular reactions involve simultaneous collision between two species, for example, dissociation of hydrogen iodide
1
3052-3055
The number of reacting species (atoms, ions or molecules) taking part in an elementary reaction, which must collide simultaneously in order to bring about a chemical reaction is called molecularity of a reaction The reaction can be unimolecular when one reacting species is involved, for example, decomposition of ammonium nitrite Rationalised 2023-24 70 Chemistry NH4NO2 ® N2 + 2H2O Bimolecular reactions involve simultaneous collision between two species, for example, dissociation of hydrogen iodide 2HI ® H2 + I2 Trimolecular or termolecular reactions involve simultaneous collision between three reacting species, for example, 2NO + O2 ® 2NO2 The probability that more than three molecules can collide and react simultaneously is very small
1
3053-3056
The reaction can be unimolecular when one reacting species is involved, for example, decomposition of ammonium nitrite Rationalised 2023-24 70 Chemistry NH4NO2 ® N2 + 2H2O Bimolecular reactions involve simultaneous collision between two species, for example, dissociation of hydrogen iodide 2HI ® H2 + I2 Trimolecular or termolecular reactions involve simultaneous collision between three reacting species, for example, 2NO + O2 ® 2NO2 The probability that more than three molecules can collide and react simultaneously is very small Hence, reactions with the molecularity three are very rare and slow to proceed
1
3054-3057
Rationalised 2023-24 70 Chemistry NH4NO2 ® N2 + 2H2O Bimolecular reactions involve simultaneous collision between two species, for example, dissociation of hydrogen iodide 2HI ® H2 + I2 Trimolecular or termolecular reactions involve simultaneous collision between three reacting species, for example, 2NO + O2 ® 2NO2 The probability that more than three molecules can collide and react simultaneously is very small Hence, reactions with the molecularity three are very rare and slow to proceed It is, therefore, evident that complex reactions involving more than three molecules in the stoichiometric equation must take place in more than one step
1
3055-3058
2HI ® H2 + I2 Trimolecular or termolecular reactions involve simultaneous collision between three reacting species, for example, 2NO + O2 ® 2NO2 The probability that more than three molecules can collide and react simultaneously is very small Hence, reactions with the molecularity three are very rare and slow to proceed It is, therefore, evident that complex reactions involving more than three molecules in the stoichiometric equation must take place in more than one step KClO3 + 6FeSO4 + 3H2SO4 ® KCl + 3Fe2(SO4)3 + 3H2O This reaction which apparently seems to be of tenth order is actually a second order reaction
1
3056-3059
Hence, reactions with the molecularity three are very rare and slow to proceed It is, therefore, evident that complex reactions involving more than three molecules in the stoichiometric equation must take place in more than one step KClO3 + 6FeSO4 + 3H2SO4 ® KCl + 3Fe2(SO4)3 + 3H2O This reaction which apparently seems to be of tenth order is actually a second order reaction This shows that this reaction takes place in several steps
1
3057-3060
It is, therefore, evident that complex reactions involving more than three molecules in the stoichiometric equation must take place in more than one step KClO3 + 6FeSO4 + 3H2SO4 ® KCl + 3Fe2(SO4)3 + 3H2O This reaction which apparently seems to be of tenth order is actually a second order reaction This shows that this reaction takes place in several steps Which step controls the rate of the overall reaction
1
3058-3061
KClO3 + 6FeSO4 + 3H2SO4 ® KCl + 3Fe2(SO4)3 + 3H2O This reaction which apparently seems to be of tenth order is actually a second order reaction This shows that this reaction takes place in several steps Which step controls the rate of the overall reaction The question can be answered if we go through the mechanism of reaction, for example, chances to win the relay race competition by a team depend upon the slowest person in the team
1
3059-3062
This shows that this reaction takes place in several steps Which step controls the rate of the overall reaction The question can be answered if we go through the mechanism of reaction, for example, chances to win the relay race competition by a team depend upon the slowest person in the team Similarly, the overall rate of the reaction is controlled by the slowest step in a reaction called the rate determining step
1
3060-3063
Which step controls the rate of the overall reaction The question can be answered if we go through the mechanism of reaction, for example, chances to win the relay race competition by a team depend upon the slowest person in the team Similarly, the overall rate of the reaction is controlled by the slowest step in a reaction called the rate determining step Consider the decomposition of hydrogen peroxide which is catalysed by iodide ion in an alkaline medium
1
3061-3064
The question can be answered if we go through the mechanism of reaction, for example, chances to win the relay race competition by a team depend upon the slowest person in the team Similarly, the overall rate of the reaction is controlled by the slowest step in a reaction called the rate determining step Consider the decomposition of hydrogen peroxide which is catalysed by iodide ion in an alkaline medium 2H2O2 -I Alkaline medium  2H2O + O2 The rate equation for this reaction is found to be      2 2 2 2 d H O Rate H O I d    k t This reaction is first order with respect to both H2O2 and I–
1
3062-3065
Similarly, the overall rate of the reaction is controlled by the slowest step in a reaction called the rate determining step Consider the decomposition of hydrogen peroxide which is catalysed by iodide ion in an alkaline medium 2H2O2 -I Alkaline medium  2H2O + O2 The rate equation for this reaction is found to be      2 2 2 2 d H O Rate H O I d    k t This reaction is first order with respect to both H2O2 and I– Evidences suggest that this reaction takes place in two steps (1) H2O2 + I– ® H2O + IO– (2) H2O2 + IO– ® H2O + I– + O2 Both the steps are bimolecular elementary reactions
1
3063-3066
Consider the decomposition of hydrogen peroxide which is catalysed by iodide ion in an alkaline medium 2H2O2 -I Alkaline medium  2H2O + O2 The rate equation for this reaction is found to be      2 2 2 2 d H O Rate H O I d    k t This reaction is first order with respect to both H2O2 and I– Evidences suggest that this reaction takes place in two steps (1) H2O2 + I– ® H2O + IO– (2) H2O2 + IO– ® H2O + I– + O2 Both the steps are bimolecular elementary reactions Species IO- is called as an intermediate since it is formed during the course of the reaction but not in the overall balanced equation
1
3064-3067
2H2O2 -I Alkaline medium  2H2O + O2 The rate equation for this reaction is found to be      2 2 2 2 d H O Rate H O I d    k t This reaction is first order with respect to both H2O2 and I– Evidences suggest that this reaction takes place in two steps (1) H2O2 + I– ® H2O + IO– (2) H2O2 + IO– ® H2O + I– + O2 Both the steps are bimolecular elementary reactions Species IO- is called as an intermediate since it is formed during the course of the reaction but not in the overall balanced equation The first step, being slow, is the rate determining step
1
3065-3068
Evidences suggest that this reaction takes place in two steps (1) H2O2 + I– ® H2O + IO– (2) H2O2 + IO– ® H2O + I– + O2 Both the steps are bimolecular elementary reactions Species IO- is called as an intermediate since it is formed during the course of the reaction but not in the overall balanced equation The first step, being slow, is the rate determining step Thus, the rate of formation of intermediate will determine the rate of this reaction
1
3066-3069
Species IO- is called as an intermediate since it is formed during the course of the reaction but not in the overall balanced equation The first step, being slow, is the rate determining step Thus, the rate of formation of intermediate will determine the rate of this reaction Thus, from the discussion, till now, we conclude the following: (i) Order of a reaction is an experimental quantity
1
3067-3070
The first step, being slow, is the rate determining step Thus, the rate of formation of intermediate will determine the rate of this reaction Thus, from the discussion, till now, we conclude the following: (i) Order of a reaction is an experimental quantity It can be zero and even a fraction but molecularity cannot be zero or a non integer
1
3068-3071
Thus, the rate of formation of intermediate will determine the rate of this reaction Thus, from the discussion, till now, we conclude the following: (i) Order of a reaction is an experimental quantity It can be zero and even a fraction but molecularity cannot be zero or a non integer (ii) Order is applicable to elementary as well as complex reactions whereas molecularity is applicable only for elementary reactions
1
3069-3072
Thus, from the discussion, till now, we conclude the following: (i) Order of a reaction is an experimental quantity It can be zero and even a fraction but molecularity cannot be zero or a non integer (ii) Order is applicable to elementary as well as complex reactions whereas molecularity is applicable only for elementary reactions For complex reaction molecularity has no meaning
1
3070-3073
It can be zero and even a fraction but molecularity cannot be zero or a non integer (ii) Order is applicable to elementary as well as complex reactions whereas molecularity is applicable only for elementary reactions For complex reaction molecularity has no meaning Rationalised 2023-24 71 Chemical Kinetics (iii) For complex reaction, order is given by the slowest step and molecularity of the slowest step is same as the order of the overall reaction
1
3071-3074
(ii) Order is applicable to elementary as well as complex reactions whereas molecularity is applicable only for elementary reactions For complex reaction molecularity has no meaning Rationalised 2023-24 71 Chemical Kinetics (iii) For complex reaction, order is given by the slowest step and molecularity of the slowest step is same as the order of the overall reaction Intext Questions Intext Questions Intext Questions Intext Questions Intext Questions 3
1
3072-3075
For complex reaction molecularity has no meaning Rationalised 2023-24 71 Chemical Kinetics (iii) For complex reaction, order is given by the slowest step and molecularity of the slowest step is same as the order of the overall reaction Intext Questions Intext Questions Intext Questions Intext Questions Intext Questions 3 3 For a reaction, A + B ® Product; the rate law is given by, r = k [ A]1/2 [B]2
1
3073-3076
Rationalised 2023-24 71 Chemical Kinetics (iii) For complex reaction, order is given by the slowest step and molecularity of the slowest step is same as the order of the overall reaction Intext Questions Intext Questions Intext Questions Intext Questions Intext Questions 3 3 For a reaction, A + B ® Product; the rate law is given by, r = k [ A]1/2 [B]2 What is the order of the reaction
1
3074-3077
Intext Questions Intext Questions Intext Questions Intext Questions Intext Questions 3 3 For a reaction, A + B ® Product; the rate law is given by, r = k [ A]1/2 [B]2 What is the order of the reaction 3
1
3075-3078
3 For a reaction, A + B ® Product; the rate law is given by, r = k [ A]1/2 [B]2 What is the order of the reaction 3 4 The conversion of molecules X to Y follows second order kinetics
1
3076-3079
What is the order of the reaction 3 4 The conversion of molecules X to Y follows second order kinetics If concentration of X is increased to three times how will it affect the rate of formation of Y
1
3077-3080
3 4 The conversion of molecules X to Y follows second order kinetics If concentration of X is increased to three times how will it affect the rate of formation of Y We have already noted that the concentration dependence of rate is called differential rate equation
1
3078-3081
4 The conversion of molecules X to Y follows second order kinetics If concentration of X is increased to three times how will it affect the rate of formation of Y We have already noted that the concentration dependence of rate is called differential rate equation It is not always convenient to determine the instantaneous rate, as it is measured by determination of slope of the tangent at point ‘t’ in concentration vs time plot (Fig
1
3079-3082
If concentration of X is increased to three times how will it affect the rate of formation of Y We have already noted that the concentration dependence of rate is called differential rate equation It is not always convenient to determine the instantaneous rate, as it is measured by determination of slope of the tangent at point ‘t’ in concentration vs time plot (Fig 3
1
3080-3083
We have already noted that the concentration dependence of rate is called differential rate equation It is not always convenient to determine the instantaneous rate, as it is measured by determination of slope of the tangent at point ‘t’ in concentration vs time plot (Fig 3 1)
1
3081-3084
It is not always convenient to determine the instantaneous rate, as it is measured by determination of slope of the tangent at point ‘t’ in concentration vs time plot (Fig 3 1) This makes it difficult to determine the rate law and hence the order of the reaction
1
3082-3085
3 1) This makes it difficult to determine the rate law and hence the order of the reaction In order to avoid this difficulty, we can integrate the differential rate equation to give a relation between directly measured experimental data, i
1
3083-3086
1) This makes it difficult to determine the rate law and hence the order of the reaction In order to avoid this difficulty, we can integrate the differential rate equation to give a relation between directly measured experimental data, i e
1
3084-3087
This makes it difficult to determine the rate law and hence the order of the reaction In order to avoid this difficulty, we can integrate the differential rate equation to give a relation between directly measured experimental data, i e , concentrations at different times and rate constant
1
3085-3088
In order to avoid this difficulty, we can integrate the differential rate equation to give a relation between directly measured experimental data, i e , concentrations at different times and rate constant The integrated rate equations are different for the reactions of different reaction orders
1
3086-3089
e , concentrations at different times and rate constant The integrated rate equations are different for the reactions of different reaction orders We shall determine these equations only for zero and first order chemical reactions
1
3087-3090
, concentrations at different times and rate constant The integrated rate equations are different for the reactions of different reaction orders We shall determine these equations only for zero and first order chemical reactions Zero order reaction means that the rate of the reaction is proportional to zero power of the concentration of reactants
1
3088-3091
The integrated rate equations are different for the reactions of different reaction orders We shall determine these equations only for zero and first order chemical reactions Zero order reaction means that the rate of the reaction is proportional to zero power of the concentration of reactants Consider the reaction, R ® P Rate =    0 d R R d k t   As any quantity raised to power zero is unity Rate =  d R 1 d k × t   d[R] = – k dt Integrating both sides [R] = – k t + I (3
1
3089-3092
We shall determine these equations only for zero and first order chemical reactions Zero order reaction means that the rate of the reaction is proportional to zero power of the concentration of reactants Consider the reaction, R ® P Rate =    0 d R R d k t   As any quantity raised to power zero is unity Rate =  d R 1 d k × t   d[R] = – k dt Integrating both sides [R] = – k t + I (3 5) where, I is the constant of integration
1
3090-3093
Zero order reaction means that the rate of the reaction is proportional to zero power of the concentration of reactants Consider the reaction, R ® P Rate =    0 d R R d k t   As any quantity raised to power zero is unity Rate =  d R 1 d k × t   d[R] = – k dt Integrating both sides [R] = – k t + I (3 5) where, I is the constant of integration At t = 0, the concentration of the reactant R = [R]0, where [R]0 is initial concentration of the reactant
1
3091-3094
Consider the reaction, R ® P Rate =    0 d R R d k t   As any quantity raised to power zero is unity Rate =  d R 1 d k × t   d[R] = – k dt Integrating both sides [R] = – k t + I (3 5) where, I is the constant of integration At t = 0, the concentration of the reactant R = [R]0, where [R]0 is initial concentration of the reactant Substituting in equation (3
1
3092-3095
5) where, I is the constant of integration At t = 0, the concentration of the reactant R = [R]0, where [R]0 is initial concentration of the reactant Substituting in equation (3 5) [R]0 = –k × 0 + I [R]0 = I Substituting the value of I in the equation (3
1
3093-3096
At t = 0, the concentration of the reactant R = [R]0, where [R]0 is initial concentration of the reactant Substituting in equation (3 5) [R]0 = –k × 0 + I [R]0 = I Substituting the value of I in the equation (3 5) [R] = -kt + [R]0 (3
1
3094-3097
Substituting in equation (3 5) [R]0 = –k × 0 + I [R]0 = I Substituting the value of I in the equation (3 5) [R] = -kt + [R]0 (3 6) 3
1
3095-3098
5) [R]0 = –k × 0 + I [R]0 = I Substituting the value of I in the equation (3 5) [R] = -kt + [R]0 (3 6) 3 3 3
1
3096-3099
5) [R] = -kt + [R]0 (3 6) 3 3 3 3 3
1
3097-3100
6) 3 3 3 3 3 3 3
1
3098-3101
3 3 3 3 3 3 3 3
1
3099-3102
3 3 3 3 3 3 3 Integrated Integrated Integrated Integrated Integrated Rate Rate Rate Rate Rate Equations Equations Equations Equations Equations 3
1
3100-3103
3 3 3 3 3 Integrated Integrated Integrated Integrated Integrated Rate Rate Rate Rate Rate Equations Equations Equations Equations Equations 3 3
1
3101-3104
3 3 3 Integrated Integrated Integrated Integrated Integrated Rate Rate Rate Rate Rate Equations Equations Equations Equations Equations 3 3 1 Zero Order Reactions Rationalised 2023-24 72 Chemistry Fig
1
3102-3105
3 Integrated Integrated Integrated Integrated Integrated Rate Rate Rate Rate Rate Equations Equations Equations Equations Equations 3 3 1 Zero Order Reactions Rationalised 2023-24 72 Chemistry Fig 3
1
3103-3106
3 1 Zero Order Reactions Rationalised 2023-24 72 Chemistry Fig 3 3: Variation in the concentration vs time plot for a zero order reaction Time k = -slope Concentration of R [R ] 0 0 Comparing (3
1
3104-3107
1 Zero Order Reactions Rationalised 2023-24 72 Chemistry Fig 3 3: Variation in the concentration vs time plot for a zero order reaction Time k = -slope Concentration of R [R ] 0 0 Comparing (3 6) with equation of a straight line, y = mx + c, if we plot [R] against t, we get a straight line (Fig