1. The half life of ¹⁴C is 5760 years. What is the value of k?

If a piece of bone discovered in a hillside cave has only 17% of the ¹⁴C normally found in a living tissue sample, how old is it?

2. The reaction A + 2B ---> C has the following rate law: rate = k [B]².

Propose a valid mechanism.

Explain what this means on a molecular level.

3. For the reaction 2 NO(g) + H₂ (g) ---> N₂O (g) + H₂O (g)

at 1100 K, the data in the following table were obtained. Find the rate law and the numerical value of the rate constant.

Initial P of NO (atm) Initial P H₂ (atm) Initial rate of P decreases (atm/min)

0.150 0.400 0.020

0.075 0.400 0.005

0.150 0.200 0.010

4. Show graphically and explain why T effects the rate of a reaction.

5. Why does a catalyst increase the rate of a reaction?

6. The rate D[O₂]/Dt of the reaction

2 H₂O₂ ----> O₂ + 2 H₂O

is 3.45 M/s under certain conditions. Under the same conditions, what will be the value of D[H₂O]/Dt, and D[H₂O₂]/Dt?

7. A chemist found the value of k for the decomposition of nitrous oxide, 2NO --> N₂ + O₂, at two different temperatures. At 970 K , k = .14 L/mol s, and at 1085 K, k = 3.7 L/mol s. What is the activation energy of this reaction? (R = 8.314 J/mol K)

8. What is "state of subdivision" and why does it effect the rate of a reaction?