General Chemistry 2: Rates of Reaction

Consider a solution of 0.10 M H##^{+}## in 0.10 M thioacetimide at 25 ##^\circ##C
rate = k[H##^{+}##][CH##_3##CSNH##_2##]
How are the rate and the rate constant (k) effected when water is added to the solution? When the reaction is heated to 75##^\circ##C ? When NaOH is added?

The initial concentration of hydroiodic acid is 100 mmol/L but after 500 s it is 17 mmol/L. What is the rate? (note the products of this reaction are hydrogen and iodine gas)

The following initial rate data was collected for the reaction, A + 2B ##\longrightarrow## products
B. Find the rate constant

The following initial rate data was collected for the reaction, 2 NO + O##_2## ##\longrightarrow## 2NO##_2##
[NO##_2##]##^X##[O##_2##]##^Y##

The following initial rate data was collected for the reaction, CH##_3##Br + OH##^-## ##\longrightarrow## CH##_3##OH + Br##^-##
B. What is the rate constant?

The following initial rate data was collected for the reaction, A + B + C ##\longrightarrow## products
What are the reaction orders with respect to the reactants?

When cyclopropane is heated to 500 ##^\circ##C it changes to propene. The following data was obtained from experiment:
Confirm that the reaction is 1st order and calculate the rate constant.

An isotope of phosphorous, ##^{32}##P, is radioactive and undergoes beta decay with a half life of 14.3 days. How long would it take for 99% of a sample of this isotope to decay?

A ##\longrightarrow## products
t##_\frac{1}{2}## = 180s
A. What % of A is left unreacted at 900 s?
B. What is the rate at [A] = 0.50 M?

The half life of uranium-238 is 4.51 x 10##^9## years. What is the rate constant? How much uranium-238 is left after 4 half lives if we start with 64 mg?

A first order reaction has a half life of 20.0 min.
A. Calculate the rate constant for this reaction
B. How much time is required for this reaction to be 75% complete?

For a given reaction, the reaction rate exactly doubles when the temperature is raised from 293 K to 304 K. Calculate the activation energy.

Below is a proposed mechanism for a reaction, with k2 > k1. What is the rate law?
$$NO_2 + CO~ \xrightarrow{k_1}~ NO + NO_3$$ $$NO_3 + CO~ \xrightarrow{k_2}~ NO_2 + CO_2$$

Below is a proposed mechanism for a reaction, with k1 > k2. What is the rate law?
$$NO_2 + CO~ \xrightarrow{k_1}~ NO + NO_3$$ $$NO_3 + CO~ \xrightarrow{k_2}~ NO_2 + CO_2$$

Below is a proposed mechanism for a reaction, with k1 > k2. What is the rate law?
$$NO+ Br_2~ \mathop{\leftrightharpoons}^{k_1}_{k_{-1}}~ NOBr_2$$ $$NOBr_2 + NO~ \xrightarrow{k_2}~ NOBr + NOBr$$

For the mechanism proposed below, determine the overall rate law for k##_1## < k##_2##, k##_1## > k##_2##
$$2~NO~+~2 H_2~\longrightarrow~2~H_2O~+~N_2~~{overall}$$
$$2~NO+~H_2~\mathop{\leftrightharpoons}^{k_1}_{k_{-1}}~N_2O~+~H_2O$$ $$N_2O~+~H_2~\xrightarrow{k_2}~N_2~+~H_2O$$

For the mechanism proposed below, use the quasi (pseudo) steady state approximation to determine the overall rate law assuming the pseudo steady state.
$$2~NO~+~2 H_2~\longrightarrow~2~H_2O~+~N_2~~{overall}$$$$2~NO+~H_2~\mathop{\leftrightharpoons}^{k_1}_{k_{-1}}~N_2O~+~H_2O$$ $$N_2O~+~H_2~\xrightarrow{k_2}~N_2~+~H_2O$$

For the mechanism below, determine the overall rate law.
$$2~NO~+~Br_2~\longrightarrow~2~NOBr~~{overall}$$
$$NO+~Br_2~\mathop{\leftrightharpoons}^{k_1}_{k_{-1}}~NOBr_2$$ $$NOBr_2~+~NO~\xrightarrow{k_2}~2NOBr$$

Derive the rate law given the elementary steps.
$$Cl_2~\mathop{\leftrightharpoons}^{k_1}_{k_{-1}}~2~Cl~~{1}$$ $$Cl+~CHCl_3~\xrightarrow{k_2}~HCl~+~CCl_3~~{2}$$ $$Cl~+~CCl_3~\xrightarrow{k_3}~CCl_4~~{3}$$

Use the pseudo steady state hypothesis to derive the rate law for the rate of production of P
$$E~+~S~\mathop{\leftrightharpoons}^{k_1}_{k_{-1}}~ES$$ $$ES~\xrightarrow{k_2}~E~+P$$