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1
3505-3508
0 × 10–6 mol–2 L2 s–1 Calculate the initial rate of the reaction when [A] = 0 1 mol L–1, [B] = 0 2 mol L–1
1
3506-3509
Calculate the initial rate of the reaction when [A] = 0 1 mol L–1, [B] = 0 2 mol L–1 Calculate the rate of reaction after [A] is reduced to 0
1
3507-3510
1 mol L–1, [B] = 0 2 mol L–1 Calculate the rate of reaction after [A] is reduced to 0 06 mol L–1
1
3508-3511
2 mol L–1 Calculate the rate of reaction after [A] is reduced to 0 06 mol L–1 3
1
3509-3512
Calculate the rate of reaction after [A] is reduced to 0 06 mol L–1 3 3 The decomposition of NH3 on platinum surface is zero order reaction
1
3510-3513
06 mol L–1 3 3 The decomposition of NH3 on platinum surface is zero order reaction What are the rates of production of N2 and H2 if k = 2
1
3511-3514
3 3 The decomposition of NH3 on platinum surface is zero order reaction What are the rates of production of N2 and H2 if k = 2 5 × 10–4 mol–1 L s–1
1
3512-3515
3 The decomposition of NH3 on platinum surface is zero order reaction What are the rates of production of N2 and H2 if k = 2 5 × 10–4 mol–1 L s–1 3
1
3513-3516
What are the rates of production of N2 and H2 if k = 2 5 × 10–4 mol–1 L s–1 3 4 The decomposition of dimethyl ether leads to the formation of CH4, H2 and CO and the reaction rate is given by Rate = k [CH3OCH3]3/2 The rate of reaction is followed by increase in pressure in a closed vessel, so the rate can also be expressed in terms of the partial pressure of dimethyl ether, i
1
3514-3517
5 × 10–4 mol–1 L s–1 3 4 The decomposition of dimethyl ether leads to the formation of CH4, H2 and CO and the reaction rate is given by Rate = k [CH3OCH3]3/2 The rate of reaction is followed by increase in pressure in a closed vessel, so the rate can also be expressed in terms of the partial pressure of dimethyl ether, i e
1
3515-3518
3 4 The decomposition of dimethyl ether leads to the formation of CH4, H2 and CO and the reaction rate is given by Rate = k [CH3OCH3]3/2 The rate of reaction is followed by increase in pressure in a closed vessel, so the rate can also be expressed in terms of the partial pressure of dimethyl ether, i e , ( ) 3 3 3/2 CH OCH Rate kp = If the pressure is measured in bar and time in minutes, then what are the units of rate and rate constants
1
3516-3519
4 The decomposition of dimethyl ether leads to the formation of CH4, H2 and CO and the reaction rate is given by Rate = k [CH3OCH3]3/2 The rate of reaction is followed by increase in pressure in a closed vessel, so the rate can also be expressed in terms of the partial pressure of dimethyl ether, i e , ( ) 3 3 3/2 CH OCH Rate kp = If the pressure is measured in bar and time in minutes, then what are the units of rate and rate constants 3
1
3517-3520
e , ( ) 3 3 3/2 CH OCH Rate kp = If the pressure is measured in bar and time in minutes, then what are the units of rate and rate constants 3 5 Mention the factors that affect the rate of a chemical reaction
1
3518-3521
, ( ) 3 3 3/2 CH OCH Rate kp = If the pressure is measured in bar and time in minutes, then what are the units of rate and rate constants 3 5 Mention the factors that affect the rate of a chemical reaction 3
1
3519-3522
3 5 Mention the factors that affect the rate of a chemical reaction 3 6 A reaction is second order with respect to a reactant
1
3520-3523
5 Mention the factors that affect the rate of a chemical reaction 3 6 A reaction is second order with respect to a reactant How is the rate of reaction affected if the concentration of the reactant is (i) doubled (ii) reduced to half
1
3521-3524
3 6 A reaction is second order with respect to a reactant How is the rate of reaction affected if the concentration of the reactant is (i) doubled (ii) reduced to half 3
1
3522-3525
6 A reaction is second order with respect to a reactant How is the rate of reaction affected if the concentration of the reactant is (i) doubled (ii) reduced to half 3 7 What is the effect of temperature on the rate constant of a reaction
1
3523-3526
How is the rate of reaction affected if the concentration of the reactant is (i) doubled (ii) reduced to half 3 7 What is the effect of temperature on the rate constant of a reaction How can this effect of temperature on rate constant be represented quantitatively
1
3524-3527
3 7 What is the effect of temperature on the rate constant of a reaction How can this effect of temperature on rate constant be represented quantitatively 3
1
3525-3528
7 What is the effect of temperature on the rate constant of a reaction How can this effect of temperature on rate constant be represented quantitatively 3 8 In a pseudo first order reaction in water, the following results were obtained: t/s 0 30 60 90 [A]/ mol L–1 0
1
3526-3529
How can this effect of temperature on rate constant be represented quantitatively 3 8 In a pseudo first order reaction in water, the following results were obtained: t/s 0 30 60 90 [A]/ mol L–1 0 55 0
1
3527-3530
3 8 In a pseudo first order reaction in water, the following results were obtained: t/s 0 30 60 90 [A]/ mol L–1 0 55 0 31 0
1
3528-3531
8 In a pseudo first order reaction in water, the following results were obtained: t/s 0 30 60 90 [A]/ mol L–1 0 55 0 31 0 17 0
1
3529-3532
55 0 31 0 17 0 085 Calculate the average rate of reaction between the time interval 30 to 60 seconds
1
3530-3533
31 0 17 0 085 Calculate the average rate of reaction between the time interval 30 to 60 seconds 3
1
3531-3534
17 0 085 Calculate the average rate of reaction between the time interval 30 to 60 seconds 3 9 A reaction is first order in A and second order in B
1
3532-3535
085 Calculate the average rate of reaction between the time interval 30 to 60 seconds 3 9 A reaction is first order in A and second order in B (i) Write the differential rate equation
1
3533-3536
3 9 A reaction is first order in A and second order in B (i) Write the differential rate equation (ii) How is the rate affected on increasing the concentration of B three times
1
3534-3537
9 A reaction is first order in A and second order in B (i) Write the differential rate equation (ii) How is the rate affected on increasing the concentration of B three times (iii) How is the rate affected when the concentrations of both A and B are doubled
1
3535-3538
(i) Write the differential rate equation (ii) How is the rate affected on increasing the concentration of B three times (iii) How is the rate affected when the concentrations of both A and B are doubled Exercises Exercises Exercises Exercises Exercises Rationalised 2023-24 86 Chemistry 3
1
3536-3539
(ii) How is the rate affected on increasing the concentration of B three times (iii) How is the rate affected when the concentrations of both A and B are doubled Exercises Exercises Exercises Exercises Exercises Rationalised 2023-24 86 Chemistry 3 10 In a reaction between A and B, the initial rate of reaction (r0) was measured for different initial concentrations of A and B as given below: A/ mol L–1 0
1
3537-3540
(iii) How is the rate affected when the concentrations of both A and B are doubled Exercises Exercises Exercises Exercises Exercises Rationalised 2023-24 86 Chemistry 3 10 In a reaction between A and B, the initial rate of reaction (r0) was measured for different initial concentrations of A and B as given below: A/ mol L–1 0 20 0
1
3538-3541
Exercises Exercises Exercises Exercises Exercises Rationalised 2023-24 86 Chemistry 3 10 In a reaction between A and B, the initial rate of reaction (r0) was measured for different initial concentrations of A and B as given below: A/ mol L–1 0 20 0 20 0
1
3539-3542
10 In a reaction between A and B, the initial rate of reaction (r0) was measured for different initial concentrations of A and B as given below: A/ mol L–1 0 20 0 20 0 40 B/ mol L–1 0
1
3540-3543
20 0 20 0 40 B/ mol L–1 0 30 0
1
3541-3544
20 0 40 B/ mol L–1 0 30 0 10 0
1
3542-3545
40 B/ mol L–1 0 30 0 10 0 05 r0/mol L–1s–1 5
1
3543-3546
30 0 10 0 05 r0/mol L–1s–1 5 07 × 10–5 5
1
3544-3547
10 0 05 r0/mol L–1s–1 5 07 × 10–5 5 07 × 10–5 1
1
3545-3548
05 r0/mol L–1s–1 5 07 × 10–5 5 07 × 10–5 1 43 × 10–4 What is the order of the reaction with respect to A and B
1
3546-3549
07 × 10–5 5 07 × 10–5 1 43 × 10–4 What is the order of the reaction with respect to A and B 3
1
3547-3550
07 × 10–5 1 43 × 10–4 What is the order of the reaction with respect to A and B 3 11 The following results have been obtained during the kinetic studies of the reaction: 2A + B ® C + D Experiment [A]/mol L–1 [B]/mol L–1 Initial rate of formation of D/mol L–1 min–1 I 0
1
3548-3551
43 × 10–4 What is the order of the reaction with respect to A and B 3 11 The following results have been obtained during the kinetic studies of the reaction: 2A + B ® C + D Experiment [A]/mol L–1 [B]/mol L–1 Initial rate of formation of D/mol L–1 min–1 I 0 1 0
1
3549-3552
3 11 The following results have been obtained during the kinetic studies of the reaction: 2A + B ® C + D Experiment [A]/mol L–1 [B]/mol L–1 Initial rate of formation of D/mol L–1 min–1 I 0 1 0 1 6
1
3550-3553
11 The following results have been obtained during the kinetic studies of the reaction: 2A + B ® C + D Experiment [A]/mol L–1 [B]/mol L–1 Initial rate of formation of D/mol L–1 min–1 I 0 1 0 1 6 0 × 10–3 II 0
1
3551-3554
1 0 1 6 0 × 10–3 II 0 3 0
1
3552-3555
1 6 0 × 10–3 II 0 3 0 2 7
1
3553-3556
0 × 10–3 II 0 3 0 2 7 2 × 10–2 III 0
1
3554-3557
3 0 2 7 2 × 10–2 III 0 3 0
1
3555-3558
2 7 2 × 10–2 III 0 3 0 4 2
1
3556-3559
2 × 10–2 III 0 3 0 4 2 88 × 10–1 IV 0
1
3557-3560
3 0 4 2 88 × 10–1 IV 0 4 0
1
3558-3561
4 2 88 × 10–1 IV 0 4 0 1 2
1
3559-3562
88 × 10–1 IV 0 4 0 1 2 40 × 10–2 Determine the rate law and the rate constant for the reaction
1
3560-3563
4 0 1 2 40 × 10–2 Determine the rate law and the rate constant for the reaction 3
1
3561-3564
1 2 40 × 10–2 Determine the rate law and the rate constant for the reaction 3 12 The reaction between A and B is first order with respect to A and zero order with respect to B
1
3562-3565
40 × 10–2 Determine the rate law and the rate constant for the reaction 3 12 The reaction between A and B is first order with respect to A and zero order with respect to B Fill in the blanks in the following table: Experiment [A]/ mol L–1 [B]/ mol L–1 Initial rate/ mol L–1 min–1 I 0
1
3563-3566
3 12 The reaction between A and B is first order with respect to A and zero order with respect to B Fill in the blanks in the following table: Experiment [A]/ mol L–1 [B]/ mol L–1 Initial rate/ mol L–1 min–1 I 0 1 0
1
3564-3567
12 The reaction between A and B is first order with respect to A and zero order with respect to B Fill in the blanks in the following table: Experiment [A]/ mol L–1 [B]/ mol L–1 Initial rate/ mol L–1 min–1 I 0 1 0 1 2
1
3565-3568
Fill in the blanks in the following table: Experiment [A]/ mol L–1 [B]/ mol L–1 Initial rate/ mol L–1 min–1 I 0 1 0 1 2 0 × 10–2 II – 0
1
3566-3569
1 0 1 2 0 × 10–2 II – 0 2 4
1
3567-3570
1 2 0 × 10–2 II – 0 2 4 0 × 10–2 III 0
1
3568-3571
0 × 10–2 II – 0 2 4 0 × 10–2 III 0 4 0
1
3569-3572
2 4 0 × 10–2 III 0 4 0 4 – IV – 0
1
3570-3573
0 × 10–2 III 0 4 0 4 – IV – 0 2 2
1
3571-3574
4 0 4 – IV – 0 2 2 0 × 10–2 3
1
3572-3575
4 – IV – 0 2 2 0 × 10–2 3 13 Calculate the half-life of a first order reaction from their rate constants given below: (i) 200 s–1 (ii) 2 min–1 (iii) 4 years–1 3
1
3573-3576
2 2 0 × 10–2 3 13 Calculate the half-life of a first order reaction from their rate constants given below: (i) 200 s–1 (ii) 2 min–1 (iii) 4 years–1 3 14 The half-life for radioactive decay of 14C is 5730 years
1
3574-3577
0 × 10–2 3 13 Calculate the half-life of a first order reaction from their rate constants given below: (i) 200 s–1 (ii) 2 min–1 (iii) 4 years–1 3 14 The half-life for radioactive decay of 14C is 5730 years An archaeological artifact containing wood had only 80% of the 14C found in a living tree
1
3575-3578
13 Calculate the half-life of a first order reaction from their rate constants given below: (i) 200 s–1 (ii) 2 min–1 (iii) 4 years–1 3 14 The half-life for radioactive decay of 14C is 5730 years An archaeological artifact containing wood had only 80% of the 14C found in a living tree Estimate the age of the sample
1
3576-3579
14 The half-life for radioactive decay of 14C is 5730 years An archaeological artifact containing wood had only 80% of the 14C found in a living tree Estimate the age of the sample 3
1
3577-3580
An archaeological artifact containing wood had only 80% of the 14C found in a living tree Estimate the age of the sample 3 15 The experimental data for decomposition of N2O5 [2N2O5 ® 4NO2 + O2] in gas phase at 318K are given below: t/s 0 400 800 1200 1600 2000 2400 2800 3200 102 × [N2O5]/ 1
1
3578-3581
Estimate the age of the sample 3 15 The experimental data for decomposition of N2O5 [2N2O5 ® 4NO2 + O2] in gas phase at 318K are given below: t/s 0 400 800 1200 1600 2000 2400 2800 3200 102 × [N2O5]/ 1 63 1
1
3579-3582
3 15 The experimental data for decomposition of N2O5 [2N2O5 ® 4NO2 + O2] in gas phase at 318K are given below: t/s 0 400 800 1200 1600 2000 2400 2800 3200 102 × [N2O5]/ 1 63 1 36 1
1
3580-3583
15 The experimental data for decomposition of N2O5 [2N2O5 ® 4NO2 + O2] in gas phase at 318K are given below: t/s 0 400 800 1200 1600 2000 2400 2800 3200 102 × [N2O5]/ 1 63 1 36 1 14 0
1
3581-3584
63 1 36 1 14 0 93 0
1
3582-3585
36 1 14 0 93 0 78 0
1
3583-3586
14 0 93 0 78 0 64 0
1
3584-3587
93 0 78 0 64 0 53 0
1
3585-3588
78 0 64 0 53 0 43 0
1
3586-3589
64 0 53 0 43 0 35 mol L–1 (i) Plot [N2O5] against t
1
3587-3590
53 0 43 0 35 mol L–1 (i) Plot [N2O5] against t (ii) Find the half-life period for the reaction
1
3588-3591
43 0 35 mol L–1 (i) Plot [N2O5] against t (ii) Find the half-life period for the reaction (iii) Draw a graph between log[N2O5] and t
1
3589-3592
35 mol L–1 (i) Plot [N2O5] against t (ii) Find the half-life period for the reaction (iii) Draw a graph between log[N2O5] and t (iv) What is the rate law
1
3590-3593
(ii) Find the half-life period for the reaction (iii) Draw a graph between log[N2O5] and t (iv) What is the rate law Rationalised 2023-24 87 Chemical Kinetics (v) Calculate the rate constant
1
3591-3594
(iii) Draw a graph between log[N2O5] and t (iv) What is the rate law Rationalised 2023-24 87 Chemical Kinetics (v) Calculate the rate constant (vi) Calculate the half-life period from k and compare it with (ii)
1
3592-3595
(iv) What is the rate law Rationalised 2023-24 87 Chemical Kinetics (v) Calculate the rate constant (vi) Calculate the half-life period from k and compare it with (ii) 3
1
3593-3596
Rationalised 2023-24 87 Chemical Kinetics (v) Calculate the rate constant (vi) Calculate the half-life period from k and compare it with (ii) 3 16 The rate constant for a first order reaction is 60 s–1
1
3594-3597
(vi) Calculate the half-life period from k and compare it with (ii) 3 16 The rate constant for a first order reaction is 60 s–1 How much time will it take to reduce the initial concentration of the reactant to its 1/16th value
1
3595-3598
3 16 The rate constant for a first order reaction is 60 s–1 How much time will it take to reduce the initial concentration of the reactant to its 1/16th value 3
1
3596-3599
16 The rate constant for a first order reaction is 60 s–1 How much time will it take to reduce the initial concentration of the reactant to its 1/16th value 3 17 During nuclear explosion, one of the products is 90Sr with half-life of 28
1
3597-3600
How much time will it take to reduce the initial concentration of the reactant to its 1/16th value 3 17 During nuclear explosion, one of the products is 90Sr with half-life of 28 1 years
1
3598-3601
3 17 During nuclear explosion, one of the products is 90Sr with half-life of 28 1 years If 1mg of 90Sr was absorbed in the bones of a newly born baby instead of calcium, how much of it will remain after 10 years and 60 years if it is not lost metabolically
1
3599-3602
17 During nuclear explosion, one of the products is 90Sr with half-life of 28 1 years If 1mg of 90Sr was absorbed in the bones of a newly born baby instead of calcium, how much of it will remain after 10 years and 60 years if it is not lost metabolically 3
1
3600-3603
1 years If 1mg of 90Sr was absorbed in the bones of a newly born baby instead of calcium, how much of it will remain after 10 years and 60 years if it is not lost metabolically 3 18 For a first order reaction, show that time required for 99% completion is twice the time required for the completion of 90% of reaction
1
3601-3604
If 1mg of 90Sr was absorbed in the bones of a newly born baby instead of calcium, how much of it will remain after 10 years and 60 years if it is not lost metabolically 3 18 For a first order reaction, show that time required for 99% completion is twice the time required for the completion of 90% of reaction 3
1
3602-3605
3 18 For a first order reaction, show that time required for 99% completion is twice the time required for the completion of 90% of reaction 3 19 A first order reaction takes 40 min for 30% decomposition
1
3603-3606
18 For a first order reaction, show that time required for 99% completion is twice the time required for the completion of 90% of reaction 3 19 A first order reaction takes 40 min for 30% decomposition Calculate t1/2
1
3604-3607
3 19 A first order reaction takes 40 min for 30% decomposition Calculate t1/2 3