Problems B
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the best-fit equation. (Hi) On the plot made in (b), draw the line that
corresponds to the best-fit equation.
12. (a) The nature of the radioactive disintegration of unstable isotopes is described in Problem 5. Bearing this in mind, use the following data (obtained for a given sample of an unknown radioactive isotope, and taken at
five-minute intervals, beginning with/ = 0): 4500; 3703; 2895; 2304; 1507;
1198; 970; 752; 603; 496; 400; 309; 250; 199. Plot these data, using semilog
graph paper.
(b) Construct a graph on the plot made in (a), and from this graph evaluate the
constants k and K to give the equation of the rate law.
*(c) (/) Using the method of least squares, find the rate-law equation of the
best-fit line for the data as plotted in (a) above. (//') Find the correlation
coefficient and the 95% confidence intervals for both the slope and the y
intercept of the best-fit equation. (Hi) On the plot made in (a), draw the
line that corresponds to the best-fit equation.
(d) What is the physical significance of K1
13. Pertinent statements about rate constants for chemical reactions are given in
Problem 6. Keeping these statements in mind, use the following data obtained
for the reaction
CO + N0 2 -^ CO 2 + NO
k
267
0.00160
319
0.0210
365
0.120
402
0.630
454
2.70
(a) Plot these data on semilog graph paper.
fb) Construct a graph on the plot made in (a), and determine the mathematical
equation for the relationship between k and T.
¥ (c) (/) Using the method of least squares, find the equation of the best-fit line
for the data as plotted in (a) above. (//) Find the correlation coefficient
and the 95% confidence intervals for both the slope and the v intercept of
the best-fit equation. (///) On the plot made in (a), draw the line that
corresponds to the best-fit equation.
(d) Calculate the value of the activation energy for this reaction.
(e) What is the physical significance of the constant Ql
14. (a) Some fundamental statements are made about chemical equilibria
in Problem 7. Keeping these statements in mind, use the following data
for the reaction
H, + CO, ^ CO + H,O
/ (°C)
600
K e
0.39
700
0.64
800
0.95
900
1.30
1000
1.76
Plot these data on semilog graph paper.
(b) Construct a graph on the plot made in (a), and determine the mathematical
equation for the relationship between K v and T.
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the best-fit equation. (Hi) On the plot made in (b), draw the line that
corresponds to the best-fit equation.
12. (a) The nature of the radioactive disintegration of unstable isotopes is described in Problem 5. Bearing this in mind, use the following data (obtained for a given sample of an unknown radioactive isotope, and taken at
five-minute intervals, beginning with/ = 0): 4500; 3703; 2895; 2304; 1507;
1198; 970; 752; 603; 496; 400; 309; 250; 199. Plot these data, using semilog
graph paper.
(b) Construct a graph on the plot made in (a), and from this graph evaluate the
constants k and K to give the equation of the rate law.
*(c) (/) Using the method of least squares, find the rate-law equation of the
best-fit line for the data as plotted in (a) above. (//') Find the correlation
coefficient and the 95% confidence intervals for both the slope and the y
intercept of the best-fit equation. (Hi) On the plot made in (a), draw the
line that corresponds to the best-fit equation.
(d) What is the physical significance of K1
13. Pertinent statements about rate constants for chemical reactions are given in
Problem 6. Keeping these statements in mind, use the following data obtained
for the reaction
CO + N0 2 -^ CO 2 + NO
k
267
0.00160
319
0.0210
365
0.120
402
0.630
454
2.70
(a) Plot these data on semilog graph paper.
fb) Construct a graph on the plot made in (a), and determine the mathematical
equation for the relationship between k and T.
¥ (c) (/) Using the method of least squares, find the equation of the best-fit line
for the data as plotted in (a) above. (//) Find the correlation coefficient
and the 95% confidence intervals for both the slope and the v intercept of
the best-fit equation. (///) On the plot made in (a), draw the line that
corresponds to the best-fit equation.
(d) Calculate the value of the activation energy for this reaction.
(e) What is the physical significance of the constant Ql
14. (a) Some fundamental statements are made about chemical equilibria
in Problem 7. Keeping these statements in mind, use the following data
for the reaction
H, + CO, ^ CO + H,O
/ (°C)
600
K e
0.39
700
0.64
800
0.95
900
1.30
1000
1.76
Plot these data on semilog graph paper.
(b) Construct a graph on the plot made in (a), and determine the mathematical
equation for the relationship between K v and T.