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Integrated Rate Laws 1. The rate law expression for the reaction of sucrose in water C12H22O11  ...

Integrated Rate Laws

1. The rate law expression for the reaction of sucrose in water

C12H22O11   +   H2O ---> 2 C6H12O6

Is rate = k[C12H22O11].

a. What is the order with respect to each reactant?

b. What is the overall order of the reaction?

c. After 2.57 hours, 6.00g/L of C12H22O11 has decreased to 5.40g/L. Express these concentrations in units of M.

d. What is the value and units for k given the information in part c?

e. Knowing the value of k from part d, what is the half-life of this reaction?

f. Given an initial concentration of C12H22O11 of 0.546M and using the value of k from part d, how many hours will it take for the concentration of C12H22O11 to decrease by 95.0%?

2. The rate constant for the decomposition of NO2 with a laser beam is

1.70M-1min-1.

2 NO2 (g) ---> 2 NO (g) + O2 (g)

a. What is the overall order of this reaction?

b. Write the rate law expression for this reaction.

c. How many seconds does it take for 85.0% of the NO2 to decompose if the initial concentration of NO2 was 0.695M?

d. What is the concentration of NO2 after 245 seconds using an initial concentration of 0.695M?

3. For the following reaction:

2 NO (g) + 2 H2 (g) -----> N2 (g) + 2 H2O (g)

a. The rate law for the reaction is first order in H2 and second order in NO. Write the rate law expression for this reaction.

b. If the rate constant for this reaction at 1000. K is 6.0 x 104 M-2s-1, what would the rate for the reaction be when [NO] = 0.20M and [H2] = 0.010M?

4. The first-order rate constant for the conversion of cyclobutane, C4H8, to ethane, C2H4 is 87.0s-1 :        

C4H8 ------> 2 C2H4

a. What is the rate law expression?

b. What is the half-life for this reaction in seconds?

c. A reaction is started with 4.00g of cyclobutane in a 1.00L gas cylinder, how long in seconds would it take to consume 3.10g of cyclobutane? Be sure to convert to M.

d. A reaction is started with 1.25M cyclobutane, what is the concentration of cyclobutane after 45.0minutes?

5. Butadiene (C4H6) reacts with itself to form a dimer with the formula C8H12. The reaction is second order in C4H6. If the rate constant as a particular temperature is 4.0 x 10-2 M-1s-1 and the initial concentration of C4H6 is 0.0200M…

a. What is the rate law expression for this reaction?

b. What is the molarity of the butadiene after a reaction time of 1.00 hour?

c. What is the time in hours, when the butadiene concentration reaches a value of 0.0150M?

d. What is the half life in minutes?

6. Hydrogen iodide decomposes slowly to H2 and I2 at 600 K. The reaction is second order with respect to HI and the rate constant is 9.7 x 10-6 M-1s-1. If the initial concentration of HI is 0.100M…

a. What is the molarity of the HI after a reaction time of 6.00 days?

b. What is the time in days when the HI concentration reaches a value of 0.0200M?

7. A reaction of the type

A ----->     B + C

has a rate constant of k = 3.6 x 10-5 M/s.

a. What is the order of the reaction?

b. What is the molarity of A after a reaction time of 30.0 minutes if the initial concentration of A is 0.0960M?

c. What is the half life of the reaction in minutes (use the conditions in b)?

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