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MBA, Ph.D in Management
Harvard university
Feb-1997 - Aug-2003
Professor
Strayer University
Jan-2007 - Present
CHEM 1F92. Assignment 15. Kinetics Part 1
Assignment 15, Version # 34
1. The kinetics of the following reaction have been studied:
10 F2 + P4 → 4 PF5
The rate of of appearance of PF5 was measured as
∆ [PF5]/∆ t = 6.00 x 10-2 mol L-1 s-1
(a) What is the rate of the reaction in mol L-1 s-1?
(b) What is ∆ [F2]/∆ t in mol L-1 s-1?
(c) What is ∆ [P4]/∆ t in mol L-1 s-1?
2. The initial rate of the reaction of species A and B
A+2B→ C
was measured at a temperature of 25 °C for various initial concentrations of A and B. Data are collected in the
table. Determine the rate equation from these data. What is the overall order of the reaction? What is the value
of the rate constant? (Give the appropriate units of k.)
Experiment
1
2
3
3. Initial Concentrations, mol/L
[A]
[B]
0.050
0.050
0.100
0.050
0.050
0.100 Initial Rate,
mol L-1 s-1
4.05 x 10-4
8.10 x 10-4
8.10 x 10-4 The reaction A + 2B → C proceeds according to the rate law,
rate = k[A][B] with k = 3.21 x 10-3 M-1 min-1. Assume that at the start of a particular reaction, [A] = 0.385 M, [B] = 0.220 M.
What is the initial rate of reaction? What is the rate when half of B has reacted? Give units! [Remember: ln(ab)
= ln(a) + ln(b)]
The radioactive isotope 7Be has a half-life of 53.3 days.
(a) What is the rate constant for this first-order reaction?
after 30 days? Assume 3 significant figures in your calculations.
4. (b) What fraction of the isotope remains 5.
The reaction A → B + C is known to be first order in A. Below are data showing the concentration of A
as a function of reaction time.
Time, h
[A], M
0
2.50 x 10-1
1
2.21 x 10-1
2
1.95 x 10-1
4
1.52 x 10-1
8
9.23 x 10-2
10
7.19 x 10-2
12
5.61 x 10-2
(a) What is the average rate of reaction between 1 and 4 h? Report the units as well as the numbers.
(b) Plot the data above, showing the concentration of A as a function of the time. From your graph,
determine the instantaneous rate of reaction at 8 h. Report the units as well as the numbers.
(c) Plot ln [A] versus time. Estimate the rate constant for this first-order reaction from your graph.
Report the units as well as the numbers.
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