53. This reaction was monitored as a function of time: A — B+C A plot of In[A] versus time yields a straight line with slope -0.0045/s. a. What is the value of the rate constant (k) for this reaction at this temperature? b. Write the rate law for the reaction. c. What is the half-life? d. If the initial concentration of A is 0.250 M, what is the concentration after 225 s?

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54. This reaction was monitored as a function of time: ABA+B A plot of 1/[AB] versus time yields a straight line with a slope of +0.55/M.s. a. What is the value of the rate constant (k) for this reaction at this temperature? b. Write the rate law for the reaction. c. What is the half-life when the initial concentration is 0.55 M? d. If the initial concentration of AB is 0.250 M, and the reaction mixture initially contains no products, what are the concen- trations of A and B after 75 s?

56. The decomposition of XY is second order in XY and has a rate constant of 7.02 x 10-3M-1.5 -1 at a certain temperature. a. What is the half-life for this reaction at an initial concentra- tion of 0.100 M? b. How long will it take for the concentration of XY to de- crease to 12.5% of its initial concentration when the initial concentration is 0.100 M? When the initial concentration is 0.200 M? c. If the initial concentration of XY is 0.150 M, how long will it take for the concentration to decrease to 0.062 M? d. If the initial concentration of XY is 0.050 M, what is the con- centration of XY after 5.0 x 10's? After 5.50 X 102 s?

You measure the potential difference across a resistor in an LRcircuit at different times and record the following results. (Notethat this set of data is taken after the switch is opened, i.e. thevoltage/current across the resistor is decreasing.)
Voltage (V) Time (s)
5.60 2.60
4.20 5.96
2.80 10.69
1.40 18.78
The initial peak in the voltage reading is 7 V.
(a) Analyze the data. (You will not submit this spreadsheet.However, the results will be needed later in this problem.)
(i) Enter the above data into an Excel spreadsheet.
(ii) Create a plot of -ln(V/V0) vs. time.
(iii) Use the trendline option in Excel to fit the data of-ln(V/V0) versus time to get the slope.

(b) What is the slope of the plot of -ln(V/V0) versus time?
slope =

(c) Calculate the time constant from the slope.
t =

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