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1
2805-2808
Thermodynamics tells only about the feasibility of a reaction whereas chemical kinetics tells about the rate of a reaction For example, thermodynamic data indicate that diamond shall convert to graphite but in reality the conversion rate is so slow that the change is not perceptible at all Therefore, most people think After studying this Unit, you will be able to · define the average and instantaneous rate of a reaction; · express the rate of a reaction in terms of change in concentration of either of the reactants or products with time; · distinguish between elementary and complex reactions; · differentiate between the molecularity and order of a reaction; · define rate constant; · discuss the dependence of rate of reactions on concentration, temperature and catalyst; · derive integrated rate equations for the zero and first order reactions; · determine the rate constants for zeroth and first order reactions; · describe collision theory Objectives Chemical Kinetics helps us to understand how chemical reactions occur
1
2806-2809
For example, thermodynamic data indicate that diamond shall convert to graphite but in reality the conversion rate is so slow that the change is not perceptible at all Therefore, most people think After studying this Unit, you will be able to · define the average and instantaneous rate of a reaction; · express the rate of a reaction in terms of change in concentration of either of the reactants or products with time; · distinguish between elementary and complex reactions; · differentiate between the molecularity and order of a reaction; · define rate constant; · discuss the dependence of rate of reactions on concentration, temperature and catalyst; · derive integrated rate equations for the zero and first order reactions; · determine the rate constants for zeroth and first order reactions; · describe collision theory Objectives Chemical Kinetics helps us to understand how chemical reactions occur 3 Chemical Kinetics Unit Unit Unit Unit3Unit Chemical Kinetics Rationalised 2023-24 62 Chemistry that diamond is forever
1
2807-2810
Therefore, most people think After studying this Unit, you will be able to · define the average and instantaneous rate of a reaction; · express the rate of a reaction in terms of change in concentration of either of the reactants or products with time; · distinguish between elementary and complex reactions; · differentiate between the molecularity and order of a reaction; · define rate constant; · discuss the dependence of rate of reactions on concentration, temperature and catalyst; · derive integrated rate equations for the zero and first order reactions; · determine the rate constants for zeroth and first order reactions; · describe collision theory Objectives Chemical Kinetics helps us to understand how chemical reactions occur 3 Chemical Kinetics Unit Unit Unit Unit3Unit Chemical Kinetics Rationalised 2023-24 62 Chemistry that diamond is forever Kinetic studies not only help us to determine the speed or rate of a chemical reaction but also describe the conditions by which the reaction rates can be altered
1
2808-2811
Objectives Chemical Kinetics helps us to understand how chemical reactions occur 3 Chemical Kinetics Unit Unit Unit Unit3Unit Chemical Kinetics Rationalised 2023-24 62 Chemistry that diamond is forever Kinetic studies not only help us to determine the speed or rate of a chemical reaction but also describe the conditions by which the reaction rates can be altered The factors such as concentration, temperature, pressure and catalyst affect the rate of a reaction
1
2809-2812
3 Chemical Kinetics Unit Unit Unit Unit3Unit Chemical Kinetics Rationalised 2023-24 62 Chemistry that diamond is forever Kinetic studies not only help us to determine the speed or rate of a chemical reaction but also describe the conditions by which the reaction rates can be altered The factors such as concentration, temperature, pressure and catalyst affect the rate of a reaction At the macroscopic level, we are interested in amounts reacted or formed and the rates of their consumption or formation
1
2810-2813
Kinetic studies not only help us to determine the speed or rate of a chemical reaction but also describe the conditions by which the reaction rates can be altered The factors such as concentration, temperature, pressure and catalyst affect the rate of a reaction At the macroscopic level, we are interested in amounts reacted or formed and the rates of their consumption or formation At the molecular level, the reaction mechanisms involving orientation and energy of molecules undergoing collisions, are discussed
1
2811-2814
The factors such as concentration, temperature, pressure and catalyst affect the rate of a reaction At the macroscopic level, we are interested in amounts reacted or formed and the rates of their consumption or formation At the molecular level, the reaction mechanisms involving orientation and energy of molecules undergoing collisions, are discussed In this Unit, we shall be dealing with average and instantaneous rate of reaction and the factors affecting these
1
2812-2815
At the macroscopic level, we are interested in amounts reacted or formed and the rates of their consumption or formation At the molecular level, the reaction mechanisms involving orientation and energy of molecules undergoing collisions, are discussed In this Unit, we shall be dealing with average and instantaneous rate of reaction and the factors affecting these Some elementary ideas about the collision theory of reaction rates are also given
1
2813-2816
At the molecular level, the reaction mechanisms involving orientation and energy of molecules undergoing collisions, are discussed In this Unit, we shall be dealing with average and instantaneous rate of reaction and the factors affecting these Some elementary ideas about the collision theory of reaction rates are also given However, in order to understand all these, let us first learn about the reaction rate
1
2814-2817
In this Unit, we shall be dealing with average and instantaneous rate of reaction and the factors affecting these Some elementary ideas about the collision theory of reaction rates are also given However, in order to understand all these, let us first learn about the reaction rate Some reactions such as ionic reactions occur very fast, for example, precipitation of silver chloride occurs instantaneously by mixing of aqueous solutions of silver nitrate and sodium chloride
1
2815-2818
Some elementary ideas about the collision theory of reaction rates are also given However, in order to understand all these, let us first learn about the reaction rate Some reactions such as ionic reactions occur very fast, for example, precipitation of silver chloride occurs instantaneously by mixing of aqueous solutions of silver nitrate and sodium chloride On the other hand, some reactions are very slow, for example, rusting of iron in the presence of air and moisture
1
2816-2819
However, in order to understand all these, let us first learn about the reaction rate Some reactions such as ionic reactions occur very fast, for example, precipitation of silver chloride occurs instantaneously by mixing of aqueous solutions of silver nitrate and sodium chloride On the other hand, some reactions are very slow, for example, rusting of iron in the presence of air and moisture Also there are reactions like inversion of cane sugar and hydrolysis of starch, which proceed with a moderate speed
1
2817-2820
Some reactions such as ionic reactions occur very fast, for example, precipitation of silver chloride occurs instantaneously by mixing of aqueous solutions of silver nitrate and sodium chloride On the other hand, some reactions are very slow, for example, rusting of iron in the presence of air and moisture Also there are reactions like inversion of cane sugar and hydrolysis of starch, which proceed with a moderate speed Can you think of more examples from each category
1
2818-2821
On the other hand, some reactions are very slow, for example, rusting of iron in the presence of air and moisture Also there are reactions like inversion of cane sugar and hydrolysis of starch, which proceed with a moderate speed Can you think of more examples from each category You must be knowing that speed of an automobile is expressed in terms of change in the position or distance covered by it in a certain period of time
1
2819-2822
Also there are reactions like inversion of cane sugar and hydrolysis of starch, which proceed with a moderate speed Can you think of more examples from each category You must be knowing that speed of an automobile is expressed in terms of change in the position or distance covered by it in a certain period of time Similarly, the speed of a reaction or the rate of a reaction can be defined as the change in concentration of a reactant or product in unit time
1
2820-2823
Can you think of more examples from each category You must be knowing that speed of an automobile is expressed in terms of change in the position or distance covered by it in a certain period of time Similarly, the speed of a reaction or the rate of a reaction can be defined as the change in concentration of a reactant or product in unit time To be more specific, it can be expressed in terms of: (i) the rate of decrease in concentration of any one of the reactants, or (ii) the rate of increase in concentration of any one of the products
1
2821-2824
You must be knowing that speed of an automobile is expressed in terms of change in the position or distance covered by it in a certain period of time Similarly, the speed of a reaction or the rate of a reaction can be defined as the change in concentration of a reactant or product in unit time To be more specific, it can be expressed in terms of: (i) the rate of decrease in concentration of any one of the reactants, or (ii) the rate of increase in concentration of any one of the products Consider a hypothetical reaction, assuming that the volume of the system remains constant
1
2822-2825
Similarly, the speed of a reaction or the rate of a reaction can be defined as the change in concentration of a reactant or product in unit time To be more specific, it can be expressed in terms of: (i) the rate of decrease in concentration of any one of the reactants, or (ii) the rate of increase in concentration of any one of the products Consider a hypothetical reaction, assuming that the volume of the system remains constant R ® P One mole of the reactant R produces one mole of the product P
1
2823-2826
To be more specific, it can be expressed in terms of: (i) the rate of decrease in concentration of any one of the reactants, or (ii) the rate of increase in concentration of any one of the products Consider a hypothetical reaction, assuming that the volume of the system remains constant R ® P One mole of the reactant R produces one mole of the product P If [R]1 and [P]1 are the concentrations of R and P respectively at time t1 and [R]2 and [P]2 are their concentrations at time t2 then, Dt = t2 – t1 D[R] = [R]2 – [R]1 D [P] = [P]2 – [P]1 The square brackets in the above expressions are used to express molar concentration
1
2824-2827
Consider a hypothetical reaction, assuming that the volume of the system remains constant R ® P One mole of the reactant R produces one mole of the product P If [R]1 and [P]1 are the concentrations of R and P respectively at time t1 and [R]2 and [P]2 are their concentrations at time t2 then, Dt = t2 – t1 D[R] = [R]2 – [R]1 D [P] = [P]2 – [P]1 The square brackets in the above expressions are used to express molar concentration Rate of disappearance of R [ ] Decrease in concentration of R R = Time taken t = −∆ ∆ (3
1
2825-2828
R ® P One mole of the reactant R produces one mole of the product P If [R]1 and [P]1 are the concentrations of R and P respectively at time t1 and [R]2 and [P]2 are their concentrations at time t2 then, Dt = t2 – t1 D[R] = [R]2 – [R]1 D [P] = [P]2 – [P]1 The square brackets in the above expressions are used to express molar concentration Rate of disappearance of R [ ] Decrease in concentration of R R = Time taken t = −∆ ∆ (3 1) 3
1
2826-2829
If [R]1 and [P]1 are the concentrations of R and P respectively at time t1 and [R]2 and [P]2 are their concentrations at time t2 then, Dt = t2 – t1 D[R] = [R]2 – [R]1 D [P] = [P]2 – [P]1 The square brackets in the above expressions are used to express molar concentration Rate of disappearance of R [ ] Decrease in concentration of R R = Time taken t = −∆ ∆ (3 1) 3 1 3
1
2827-2830
Rate of disappearance of R [ ] Decrease in concentration of R R = Time taken t = −∆ ∆ (3 1) 3 1 3 1 3
1
2828-2831
1) 3 1 3 1 3 1 3
1
2829-2832
1 3 1 3 1 3 1 3
1
2830-2833
1 3 1 3 1 3 1 Rate of a Rate of a Rate of a Rate of a Rate of a Chemical Chemical Chemical Chemical Chemical Reaction Reaction Reaction Reaction Reaction Rationalised 2023-24 63 Chemical Kinetics Rate of appearance of P [ ] Increase in concentration of P P = Time taken t ∆ = + ∆ (3
1
2831-2834
1 3 1 3 1 Rate of a Rate of a Rate of a Rate of a Rate of a Chemical Chemical Chemical Chemical Chemical Reaction Reaction Reaction Reaction Reaction Rationalised 2023-24 63 Chemical Kinetics Rate of appearance of P [ ] Increase in concentration of P P = Time taken t ∆ = + ∆ (3 2) Since, D[R] is a negative quantity (as concentration of reactants is decreasing), it is multiplied with –1 to make the rate of the reaction a positive quantity
1
2832-2835
1 3 1 Rate of a Rate of a Rate of a Rate of a Rate of a Chemical Chemical Chemical Chemical Chemical Reaction Reaction Reaction Reaction Reaction Rationalised 2023-24 63 Chemical Kinetics Rate of appearance of P [ ] Increase in concentration of P P = Time taken t ∆ = + ∆ (3 2) Since, D[R] is a negative quantity (as concentration of reactants is decreasing), it is multiplied with –1 to make the rate of the reaction a positive quantity Equations (3
1
2833-2836
1 Rate of a Rate of a Rate of a Rate of a Rate of a Chemical Chemical Chemical Chemical Chemical Reaction Reaction Reaction Reaction Reaction Rationalised 2023-24 63 Chemical Kinetics Rate of appearance of P [ ] Increase in concentration of P P = Time taken t ∆ = + ∆ (3 2) Since, D[R] is a negative quantity (as concentration of reactants is decreasing), it is multiplied with –1 to make the rate of the reaction a positive quantity Equations (3 1) and (3
1
2834-2837
2) Since, D[R] is a negative quantity (as concentration of reactants is decreasing), it is multiplied with –1 to make the rate of the reaction a positive quantity Equations (3 1) and (3 2) given above represent the average rate of a reaction, rav
1
2835-2838
Equations (3 1) and (3 2) given above represent the average rate of a reaction, rav Average rate depends upon the change in concentration of reactants or products and the time taken for that change to occur (Fig
1
2836-2839
1) and (3 2) given above represent the average rate of a reaction, rav Average rate depends upon the change in concentration of reactants or products and the time taken for that change to occur (Fig 3
1
2837-2840
2) given above represent the average rate of a reaction, rav Average rate depends upon the change in concentration of reactants or products and the time taken for that change to occur (Fig 3 1)
1
2838-2841
Average rate depends upon the change in concentration of reactants or products and the time taken for that change to occur (Fig 3 1) Fig
1
2839-2842
3 1) Fig 3
1
2840-2843
1) Fig 3 1: Instantaneous and average rate of a reaction Units of rate of a reaction From equations (3
1
2841-2844
Fig 3 1: Instantaneous and average rate of a reaction Units of rate of a reaction From equations (3 1) and (3
1
2842-2845
3 1: Instantaneous and average rate of a reaction Units of rate of a reaction From equations (3 1) and (3 2), it is clear that units of rate are concentration time–1
1
2843-2846
1: Instantaneous and average rate of a reaction Units of rate of a reaction From equations (3 1) and (3 2), it is clear that units of rate are concentration time–1 For example, if concentration is in mol L–1 and time is in seconds then the units will be mol L-1s–1
1
2844-2847
1) and (3 2), it is clear that units of rate are concentration time–1 For example, if concentration is in mol L–1 and time is in seconds then the units will be mol L-1s–1 However, in gaseous reactions, when the concentration of gases is expressed in terms of their partial pressures, then the units of the rate equation will be atm s–1
1
2845-2848
2), it is clear that units of rate are concentration time–1 For example, if concentration is in mol L–1 and time is in seconds then the units will be mol L-1s–1 However, in gaseous reactions, when the concentration of gases is expressed in terms of their partial pressures, then the units of the rate equation will be atm s–1 From the concentrations of C4H9Cl (butyl chloride) at different times given below, calculate the average rate of the reaction: C4H9Cl + H2O ® C4H9OH + HCl during different intervals of time
1
2846-2849
For example, if concentration is in mol L–1 and time is in seconds then the units will be mol L-1s–1 However, in gaseous reactions, when the concentration of gases is expressed in terms of their partial pressures, then the units of the rate equation will be atm s–1 From the concentrations of C4H9Cl (butyl chloride) at different times given below, calculate the average rate of the reaction: C4H9Cl + H2O ® C4H9OH + HCl during different intervals of time t/s 0 50 100 150 200 300 400 700 800 [C4H9Cl]/mol L–1 0
1
2847-2850
However, in gaseous reactions, when the concentration of gases is expressed in terms of their partial pressures, then the units of the rate equation will be atm s–1 From the concentrations of C4H9Cl (butyl chloride) at different times given below, calculate the average rate of the reaction: C4H9Cl + H2O ® C4H9OH + HCl during different intervals of time t/s 0 50 100 150 200 300 400 700 800 [C4H9Cl]/mol L–1 0 100 0
1
2848-2851
From the concentrations of C4H9Cl (butyl chloride) at different times given below, calculate the average rate of the reaction: C4H9Cl + H2O ® C4H9OH + HCl during different intervals of time t/s 0 50 100 150 200 300 400 700 800 [C4H9Cl]/mol L–1 0 100 0 0905 0
1
2849-2852
t/s 0 50 100 150 200 300 400 700 800 [C4H9Cl]/mol L–1 0 100 0 0905 0 0820 0
1
2850-2853
100 0 0905 0 0820 0 0741 0
1
2851-2854
0905 0 0820 0 0741 0 0671 0
1
2852-2855
0820 0 0741 0 0671 0 0549 0
1
2853-2856
0741 0 0671 0 0549 0 0439 0
1
2854-2857
0671 0 0549 0 0439 0 0210 0
1
2855-2858
0549 0 0439 0 0210 0 017 We can determine the difference in concentration over different intervals of time and thus determine the average rate by dividing D[R] by Dt (Table 3
1
2856-2859
0439 0 0210 0 017 We can determine the difference in concentration over different intervals of time and thus determine the average rate by dividing D[R] by Dt (Table 3 1)
1
2857-2860
0210 0 017 We can determine the difference in concentration over different intervals of time and thus determine the average rate by dividing D[R] by Dt (Table 3 1) { } Example 3
1
2858-2861
017 We can determine the difference in concentration over different intervals of time and thus determine the average rate by dividing D[R] by Dt (Table 3 1) { } Example 3 1 Example 3
1
2859-2862
1) { } Example 3 1 Example 3 1 Example 3
1
2860-2863
{ } Example 3 1 Example 3 1 Example 3 1 Example 3
1
2861-2864
1 Example 3 1 Example 3 1 Example 3 1 Example 3
1
2862-2865
1 Example 3 1 Example 3 1 Example 3 1 Solution Solution Solution Solution Solution Rationalised 2023-24 64 Chemistry It can be seen (Table 3
1
2863-2866
1 Example 3 1 Example 3 1 Solution Solution Solution Solution Solution Rationalised 2023-24 64 Chemistry It can be seen (Table 3 1) that the average rate falls from 1
1
2864-2867
1 Example 3 1 Solution Solution Solution Solution Solution Rationalised 2023-24 64 Chemistry It can be seen (Table 3 1) that the average rate falls from 1 90 × 0-4 mol L-1s-1 to 0
1
2865-2868
1 Solution Solution Solution Solution Solution Rationalised 2023-24 64 Chemistry It can be seen (Table 3 1) that the average rate falls from 1 90 × 0-4 mol L-1s-1 to 0 4 × 10-4 mol L-1s-1
1
2866-2869
1) that the average rate falls from 1 90 × 0-4 mol L-1s-1 to 0 4 × 10-4 mol L-1s-1 However, average rate cannot be used to predict the rate of a reaction at a particular instant as it would be constant for the time interval for which it is calculated
1
2867-2870
90 × 0-4 mol L-1s-1 to 0 4 × 10-4 mol L-1s-1 However, average rate cannot be used to predict the rate of a reaction at a particular instant as it would be constant for the time interval for which it is calculated So, to express the rate at a particular moment of time we determine the instantaneous rate
1
2868-2871
4 × 10-4 mol L-1s-1 However, average rate cannot be used to predict the rate of a reaction at a particular instant as it would be constant for the time interval for which it is calculated So, to express the rate at a particular moment of time we determine the instantaneous rate It is obtained when we consider the average rate at the smallest time interval say dt ( i
1
2869-2872
However, average rate cannot be used to predict the rate of a reaction at a particular instant as it would be constant for the time interval for which it is calculated So, to express the rate at a particular moment of time we determine the instantaneous rate It is obtained when we consider the average rate at the smallest time interval say dt ( i e
1
2870-2873
So, to express the rate at a particular moment of time we determine the instantaneous rate It is obtained when we consider the average rate at the smallest time interval say dt ( i e when Dt approaches zero)
1
2871-2874
It is obtained when we consider the average rate at the smallest time interval say dt ( i e when Dt approaches zero) Hence, mathematically for an infinitesimally small dt instantaneous rate is given by [ ] [ ] −∆ ∆ = = ∆ ∆ av R P r t t (3
1
2872-2875
e when Dt approaches zero) Hence, mathematically for an infinitesimally small dt instantaneous rate is given by [ ] [ ] −∆ ∆ = = ∆ ∆ av R P r t t (3 3) As Dt ® 0 or     inst d d R P d d r t t   Table 3
1
2873-2876
when Dt approaches zero) Hence, mathematically for an infinitesimally small dt instantaneous rate is given by [ ] [ ] −∆ ∆ = = ∆ ∆ av R P r t t (3 3) As Dt ® 0 or     inst d d R P d d r t t   Table 3 1: Average rates of hydrolysis of butyl chloride [C4H9CI]t1 / [C4H9CI]t2 / t1/s t2/s rav × 104/mol L–1s–1 mol L–1 mol L–1 [ ] [ ] ( ) { } = – − × 2 1 4 4 9 4 9 2 1 t t C H Cl – C H Cl / t t 10 0
1
2874-2877
Hence, mathematically for an infinitesimally small dt instantaneous rate is given by [ ] [ ] −∆ ∆ = = ∆ ∆ av R P r t t (3 3) As Dt ® 0 or     inst d d R P d d r t t   Table 3 1: Average rates of hydrolysis of butyl chloride [C4H9CI]t1 / [C4H9CI]t2 / t1/s t2/s rav × 104/mol L–1s–1 mol L–1 mol L–1 [ ] [ ] ( ) { } = – − × 2 1 4 4 9 4 9 2 1 t t C H Cl – C H Cl / t t 10 0 100 0
1
2875-2878
3) As Dt ® 0 or     inst d d R P d d r t t   Table 3 1: Average rates of hydrolysis of butyl chloride [C4H9CI]t1 / [C4H9CI]t2 / t1/s t2/s rav × 104/mol L–1s–1 mol L–1 mol L–1 [ ] [ ] ( ) { } = – − × 2 1 4 4 9 4 9 2 1 t t C H Cl – C H Cl / t t 10 0 100 0 0905 0 50 1
1
2876-2879
1: Average rates of hydrolysis of butyl chloride [C4H9CI]t1 / [C4H9CI]t2 / t1/s t2/s rav × 104/mol L–1s–1 mol L–1 mol L–1 [ ] [ ] ( ) { } = – − × 2 1 4 4 9 4 9 2 1 t t C H Cl – C H Cl / t t 10 0 100 0 0905 0 50 1 90 0
1
2877-2880
100 0 0905 0 50 1 90 0 0905 0
1
2878-2881
0905 0 50 1 90 0 0905 0 0820 50 100 1
1
2879-2882
90 0 0905 0 0820 50 100 1 70 0
1
2880-2883
0905 0 0820 50 100 1 70 0 0820 0
1
2881-2884
0820 50 100 1 70 0 0820 0 0741 100 150 1
1
2882-2885
70 0 0820 0 0741 100 150 1 58 0
1
2883-2886
0820 0 0741 100 150 1 58 0 0741 0
1
2884-2887
0741 100 150 1 58 0 0741 0 0671 150 200 1
1
2885-2888
58 0 0741 0 0671 150 200 1 40 0
1
2886-2889
0741 0 0671 150 200 1 40 0 0671 0
1
2887-2890
0671 150 200 1 40 0 0671 0 0549 200 300 1
1
2888-2891
40 0 0671 0 0549 200 300 1 22 0
1
2889-2892
0671 0 0549 200 300 1 22 0 0549 0
1
2890-2893
0549 200 300 1 22 0 0549 0 0439 300 400 1
1
2891-2894
22 0 0549 0 0439 300 400 1 10 0
1
2892-2895
0549 0 0439 300 400 1 10 0 0439 0
1
2893-2896
0439 300 400 1 10 0 0439 0 0335 400 500 1
1
2894-2897
10 0 0439 0 0335 400 500 1 04 0
1
2895-2898
0439 0 0335 400 500 1 04 0 0210 0
1
2896-2899
0335 400 500 1 04 0 0210 0 017 700 800 0
1
2897-2900
04 0 0210 0 017 700 800 0 4 Fig 3
1
2898-2901
0210 0 017 700 800 0 4 Fig 3 2 Instantaneous rate of hydrolysis of butyl chloride(C4H9Cl) Rationalised 2023-24 65 Chemical Kinetics It can be determined graphically by drawing a tangent at time t on either of the curves for concentration of R and P vs time t and calculating its slope (Fig
1
2899-2902
017 700 800 0 4 Fig 3 2 Instantaneous rate of hydrolysis of butyl chloride(C4H9Cl) Rationalised 2023-24 65 Chemical Kinetics It can be determined graphically by drawing a tangent at time t on either of the curves for concentration of R and P vs time t and calculating its slope (Fig 3
1
2900-2903
4 Fig 3 2 Instantaneous rate of hydrolysis of butyl chloride(C4H9Cl) Rationalised 2023-24 65 Chemical Kinetics It can be determined graphically by drawing a tangent at time t on either of the curves for concentration of R and P vs time t and calculating its slope (Fig 3 1)
1
2901-2904
2 Instantaneous rate of hydrolysis of butyl chloride(C4H9Cl) Rationalised 2023-24 65 Chemical Kinetics It can be determined graphically by drawing a tangent at time t on either of the curves for concentration of R and P vs time t and calculating its slope (Fig 3 1) So in problem 3
1
2902-2905
3 1) So in problem 3 1, rinst at 600s for example, can be calculated by plotting concentration of butyl chloride as a function of time
1
2903-2906
1) So in problem 3 1, rinst at 600s for example, can be calculated by plotting concentration of butyl chloride as a function of time A tangent is drawn that touches the curve at t = 600 s (Fig
1
2904-2907
So in problem 3 1, rinst at 600s for example, can be calculated by plotting concentration of butyl chloride as a function of time A tangent is drawn that touches the curve at t = 600 s (Fig 3