General Chemistry: Principles and Modern Applications (11th Edition)
General Chemistry: Principles and Modern Applications (11th Edition)
11th Edition
ISBN: 9780132931281
Author: Ralph H. Petrucci, F. Geoffrey Herring, Jeffry D. Madura, Carey Bissonnette
Publisher: PEARSON
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Chapter 20, Problem 53E
Interpretation Introduction

(a)

Interpretation:

A graph of ln k v/s 1/T is to be constructed for the given data of decomposition of PAN.

0 °C k = 5.6×106s1
10 °C k = 3.2×105s1
20 °C k = 1.6×104s1
30 °C k = 7.6×104s1

Concept introduction:

  • Arrhenius equation relates the rate constant (k) of the reaction to its absolute temperature as-
  • k=Ae - E a RTorlnk=lnA-EaRT

    Where

    A − Pre-exponential factor

    Ea- Activation energy

    T- Absolute temperature in Kelvins

    R- Universal gas constant

Interpretation Introduction

(b)

Interpretation:

The activation energy (Ea ) is to be calculated for the given data of decomposition of PAN.

0 °C k = 5.6×106s1
10 °C k = 3.2×105s1
20 °C k = 1.6×104s1
30 °C k = 7.6×104s1

Concept introduction:

  • Arrhenius equation relates the rate constant (k) of the reaction to its absolute temperature as-
  • k=Ae -E a RTorlnk=lnA-EaRT

    Where

    A − Pre-exponential factor

    Ea- Activation energy

    T- Absolute temperature in Kelvins

    R- Universal gas constant

Interpretation Introduction

(c)

Interpretation:

The half-life for the decomposition of PAN at 40°C is to be calculated.

0 °C k = 5.6×106s1
10 °C k = 3.2×105s1
20 °C k = 1.6×104s1
30 °C k = 7.6×104s1

Ea = 149.6 KJ/mol

Concept introduction:

  • At two different temperatures, Arrhenius equation can be modified as:
  • lnk2k1=-EaR(1T2-1T1)

    Where k − rate constants

    Ea- Activation energy

    T- Absolute temperature in Kelvins

    R- Universal gas constant

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Chapter 20 Solutions

General Chemistry: Principles and Modern Applications (11th Edition)

Ch. 20 - The initial rate of the reaction A+BC+D is...Ch. 20 - For the reaction A+BC+D , the following initial...Ch. 20 - Prob. 13ECh. 20 - The following data are obtained for the initial...Ch. 20 - One of the following statements is true and the...Ch. 20 - One of the following statements true and the other...Ch. 20 - The first-order reaction A products has t1/2=180...Ch. 20 - The reaction A products is first order in A....Ch. 20 - The reaction A products is first order A. a. If...Ch. 20 - In the first-order reaction A products, [A] =...Ch. 20 - In the first-order reaction A products, it found...Ch. 20 - The half-life of me radioactive isotope...Ch. 20 - Acetoacetic acid, CH2COOH2COOH , a reagent in...Ch. 20 - The following first-order reaction occurs in...Ch. 20 - For the reaction A- products, the following data...Ch. 20 - The decomposition of dimethyl ether at 504C is (...Ch. 20 - [Hint: There are several of arrivivg at answer for...Ch. 20 - [Hint: There are several of arrivivg at answer for...Ch. 20 - Prob. 29ECh. 20 - Prob. 30ECh. 20 - Prob. 31ECh. 20 - Prob. 32ECh. 20 - [Hint: There are several of arrivivg at answer for...Ch. 20 - [Hint: There are several ways of arrivivig at...Ch. 20 - Prob. 35ECh. 20 - Prob. 36ECh. 20 - For the reaction A products, the following data...Ch. 20 - Prob. 38ECh. 20 - For the reaction A products, the data tabulated...Ch. 20 - For the reaction A2B+C , the following data are...Ch. 20 - In three different experiments, the following...Ch. 20 - Ammonia decomposes on the surface of a hot...Ch. 20 - Prob. 43ECh. 20 - Consider three hypothetical reactions A — products...Ch. 20 - Prob. 45ECh. 20 - If even tiny sped is introduced into a mixture of...Ch. 20 - For me reversible reaction A+BC+D , the enthalpy...Ch. 20 - Prob. 48ECh. 20 - By inspection of the reaction profile for the...Ch. 20 - By inspection of the reaction profile for the...Ch. 20 - The rate constant for the reaction...Ch. 20 - At what temperature will the rate constant for the...Ch. 20 - Prob. 53ECh. 20 - The reaction C2H5+OHC2H5OH+I was studied in an...Ch. 20 - The first-order reaction A products has a...Ch. 20 - For the first-order reaction N2O4(g)2NO2+12O2g...Ch. 20 - Prob. 57ECh. 20 - Concerning the rule of thumb stated r Exercise 57,...Ch. 20 - The following statements about catalysis are not...Ch. 20 - Prob. 60ECh. 20 - What are the similarities and differences between...Ch. 20 - Certain gas-phase reactions on a heterogeneous...Ch. 20 - The graph show s the effect of enzyme...Ch. 20 - The graph shows the effect of temperature on...Ch. 20 - Prob. 65ECh. 20 - Prob. 66ECh. 20 - The reaction 2NO+2H2N2+2H2O is second order m [NO]...Ch. 20 - The mechanism proposed for me reaction of H2(g)...Ch. 20 - The reaction 2NO+Cl22NOCl has rate law: rate of...Ch. 20 - A simplified rate law 1o the reaction 2O2(g)3O2(g)...Ch. 20 - Prob. 71ECh. 20 - One proposed meachanism for the condensation of...Ch. 20 - Suppose that the reaction r Example 20-8 is first...Ch. 20 - [A]t as a function of time for the reaction A —...Ch. 20 - Exactly 300 s after decomposition of H2O2(aq)...Ch. 20 - Use the method of Exercise 75 to determine the...Ch. 20 - Prob. 77IAECh. 20 - Prob. 78IAECh. 20 - Hydroxide ion is involved in the mechanism of the...Ch. 20 - The half-life for the first-order decomposition of...Ch. 20 - The decomposition of ethylene oxide at 690 K is...Ch. 20 - Prob. 82IAECh. 20 - The following data are for the reaction 2 A + B ...Ch. 20 - Prob. 84IAECh. 20 - Prob. 85IAECh. 20 - Prob. 86IAECh. 20 - The following three-step mechanism has been...Ch. 20 - Prob. 88IAECh. 20 - Prob. 89IAECh. 20 - Prob. 90IAECh. 20 - Prob. 91IAECh. 20 - Prob. 92IAECh. 20 - Prob. 93IAECh. 20 - You want to test the following proposed mechanism...Ch. 20 - Prob. 95IAECh. 20 - Benzenediazonium chloride decomposes by a...Ch. 20 - The object is to study the kinetics of the...Ch. 20 - Prob. 98SAECh. 20 - Prob. 99SAECh. 20 - Explain the important distinctions between each...Ch. 20 - Prob. 101SAECh. 20 - A first-order reaction A — products, has a...Ch. 20 - Prob. 103SAECh. 20 - Prob. 104SAECh. 20 - The rate of a chemical reaction generally...Ch. 20 - For the reaction A+B2C, which proceeds by a...Ch. 20 - Prob. 107SAECh. 20 - Prob. 108SAECh. 20 - Prob. 109SAECh. 20 - For me reaction A products the following data are...Ch. 20 - For the reaction A+2BC+D , the rate law is rate...Ch. 20 - Prob. 112SAECh. 20 - If the plot of the reactant concentration versus...Ch. 20 - Prob. 114SAECh. 20 - Prob. 115SAE
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