Skip to main content
Chemistry LibreTexts

Kinetics Solutions

  • Page ID
    11041
  • \( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \) \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)\(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\) \(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\)\(\newcommand{\AA}{\unicode[.8,0]{x212B}}\)

    Name: ______________________________

    Section: _____________________________

    Student ID#:__________________________

    Work in groups on these problems. You should try to answer the questions without referring to your textbook. If you get stuck, try asking another group for help.

    1 Write the rate expression in terms of D[reactant]/Dt and D[product]/Dt:

    rate = - D[N2]/Dt = - D[H2]/3Dt = D[NH3]/2Dt

    2 Determine

    1. a) the order of each reactant: 1st order in A; zero order in B
    2. b) the order of the reaction: overall reaction is 1st ordered
    3. c) write the rate law: rate = k[A]
    4. d) calculate the rate constant, k: k = 1.75 x 10-2/s

    3a. The decomposition of A2B3 is second order with a k = 6.5 x 10-5 M-1s -1 at 25oC. If the initial concentration is 0.50 M, the concentration after 3 min is: 0.497 M

    b. The half-life for the reaction in question 3a is: 3.08 x 104 s

    4. The decomposition of AB is first order with a k = 2.3 x 10-7 s-1 at 45oC. If the initial concentration is 0.25 M, the concentration after 2.3 min is: 0.25 M

    b. The half-life for the reaction in question 4a is: 3.01 x 106 s

    5a. The concentration of reactant after 2.5 minutes if the inital concentration was 0.100 M and k = 6.93 x 10-3 s-1 for a first order reaction is: 0.0354 M

    b. The half-life is: 100 s

    6. For the first order reaction:

    \[SO_2Cl_2 \rightarrow SO_2 + Cl_2 \nonumber \]

    How long will it take to reach 0.31 x 10-3 M if the inital concentration was 1.25 x 10-3 M and k = 0.17/hr? 8.2 hrs

    7. For the second order reaction \(A \rightarrow B\) (k = 1.5 x 10-2/Ms),

    1. if the initial concentration of A is 0.10M, the concentration of A after 4 min is: 0.074 M
    2. the half-life is: 667 s

    This page titled Kinetics Solutions is shared under a CC BY-NC-SA 4.0 license and was authored, remixed, and/or curated by Mark Draganjac via source content that was edited to the style and standards of the LibreTexts platform; a detailed edit history is available upon request.