Learning Materials
Features
Discover
Chapter 13: Problem 82
What are the units of the rate constant for a thirdorder reaction?
Over 30 million students worldwide already upgrade their learning with Vaia!
All the tools & learning materials you need for study success - in one app.
Get started for free
Consider the reaction $$ \mathrm{X}+\mathrm{Y} \longrightarrow \mathrm{Z} $$ From the following data, obtained at \(360 \mathrm{~K}\), (a) determine the order of the reaction, and (b) determine the initial rate of disappearance of \(\mathrm{X}\) when the concentration of \(\mathrm{X}\) is \(0.30 \mathrm{M}\) and that of Y is \(0.40 \mathrm{M}\). $$ \begin{array}{ccc} \hline \text { Initial Rate of } & & \\ \text { Disappearance of } \mathbf{X}(\boldsymbol{M} / \mathbf{s}) & {[\mathrm{X}](M)} & {[\mathrm{Y}](M)} \\ \hline 0.053 & 0.10 & 0.50 \\ 0.127 & 0.20 & 0.30 \\ 1.02 & 0.40 & 0.60 \\ 0.254 & 0.20 & 0.60 \\ 0.509 & 0.40 & 0.30 \\ \hline \end{array} $$
To prevent brain damage, a drastic medical procedure is to lower the body temperature of someone who has suffered cardiac arrest. What is the physiochemical basis for this treatment?
Determine the overall orders of the reactions to which the following rate laws apply: (a) rate \(=k\left[\mathrm{NO}_{2}\right]^{2}\), (b) rate \(=k,(\mathrm{c})\) rate \(=k\left[\mathrm{H}_{2}\right]\left[\mathrm{Br}_{2}\right]^{\frac{1}{2}}\) (d) rate \(=\) \(k[\mathrm{NO}]^{2}\left[\mathrm{O}_{2}\right]\)
The following expression shows the dependence of the half-life of a reaction \(\left(t_{\frac{1}{2}}\right)\) on the initial reactant concentration [A] \(_{0}:\) $$ t_{\frac{1}{2}} \propto \frac{1}{[\mathrm{~A}]_{0}^{n-1}} $$ where \(n\) is the order of the reaction. Verify this dependence for zero-, first-, and second-order reactions.
Many reactions involving heterogeneous catalysts are zero order; that is, rate \(=k .\) An example is the decomposition of phosphine \(\left(\mathrm{PH}_{3}\right)\) over tungsten (W): $$ 4 \mathrm{PH}_{3}(g) \longrightarrow \mathrm{P}_{4}(g)+6 \mathrm{H}_{2}(g) $$ It is found that the reaction is independent of \(\left[\mathrm{PH}_{3}\right]\) as long as phosphine's pressure is sufficiently high \((\geq 1 \mathrm{~atm}) .\) Explain.
What do you think about this solution?
We value your feedback to improve our textbook solutions.
Explanations 
Textbooks 
Exams 
GCSE 
IGCSE 
AS 
A Level 
International A Level 
University Admissions Tests 
Flashcards 
Vaia AI 
Notes 
Study Plans 
Study Sets 
Find a job 
Find a degree 
Student Deals 
Magazine 
Mobile App