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The highly radioactive plutonium in nuclear waste undergoes first-order decay with a half-life of approximately 24,000 years. How many years must pass before the level of radioactivity due to the plutonium falls to 1/128th (about 1%) of its original potency?
NO 2 + F 2 NO 2 F + F (slow) rate = k [NO 2 ][F 2 ]
F + NO 2 NO 2 F (fast) rate = k [F][NO 2 ]
Since the first step is the slow step, it is the rate limiting step and thus the rate of the overall reaction depends upon the rate of this step. Note: The rate of this step is also the rate of the overall reaction.
2NO 2 + F 2 2NO 2 F Rate = k[NO 2 ][F 2 ]
The steps must add up to the overall reaction.
2 NO 2 Cl -> 2 NO 2 + Cl 2
NO 2 Cl -> NO 2 + Cl (slow) NO 2 Cl + Cl -> NO 2 + Cl 2 (fast)
Write the overall rate law that would be consistent with this proposed reaction mechanism.