(a) For the generic reaction A → B what quantity, when graphed versus time, will yield a straight line for a first-order reaction?
Ch.14 - Chemical Kinetics
14장, 문제 38a
Consider the reaction of peroxydisulfate ion (S2O82-) with iodide ion (I-) in aqueous solution:
S2O82-(aq) + 3 I-(aq) → 2 SO42-(aq) + I3-(aq)
At a particular temperature, the initial rate of disappearance of S2O82- varies with reactant concentrations in the following manner:
Experiment [S2O82-] (M) [I-] (M) Initial Rate (M/s)
1 0.018 0.036 2.6 × 10-6
2 0.027 0.036 3.9 × 10-6
3 0.036 0.054 7.8 × 10-6
4 0.050 0.072 1.4 × 10-5
(a) Determine the rate law for the reaction and state the units of the rate constant.
검증된 단계별 안내1
Identify the changes in concentrations of S2O8^2- and I^- across the experiments to observe how the rate of reaction changes. This will help in determining the order of reaction with respect to each reactant.
Write the general form of the rate law for the reaction: Rate = k[S2O8^2-]^m[I^-]^n, where k is the rate constant, m is the order of the reaction with respect to S2O8^2-, and n is the order of the reaction with respect to I^-.
Use the data from the experiments to set up a system of equations based on the rate law. For each experiment, substitute the concentrations of S2O8^2- and I^- and the corresponding initial rate into the rate law equation.
Solve the system of equations to find the values of m and n. This can be done by comparing how the rate changes as the concentrations of each reactant change. If the rate changes proportionally to the concentration, the reaction is first order with respect to that reactant. If the rate changes quadratically, it is second order, and so on.
Once m and n are determined, use any of the experimental data sets to solve for k in the rate law equation. The units of k will depend on the overall order of the reaction (sum of m and n) and are generally expressed as M^(1-order) s^-1.

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이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.
영상 길이:
3m주요 개념
질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.
Rate Law
The rate law expresses the relationship between the rate of a chemical reaction and the concentration of its reactants. It is typically formulated as Rate = k[A]^m[B]^n, where k is the rate constant, [A] and [B] are the concentrations of the reactants, and m and n are the reaction orders with respect to each reactant. Determining the rate law involves analyzing experimental data to find the values of m and n, which indicate how the rate is affected by changes in concentration.
추천 영상:
가이드 코스
Rate Law Fundamentals
Order of Reaction
The order of a reaction refers to the exponent to which the concentration of a reactant is raised in the rate law. It provides insight into the relationship between concentration and reaction rate. For example, a first-order reaction means that the rate is directly proportional to the concentration of that reactant, while a second-order reaction indicates that the rate is proportional to the square of the concentration. The overall order of the reaction is the sum of the individual orders.
추천 영상:
가이드 코스
Average Bond Order
Units of the Rate Constant (k)
The units of the rate constant (k) depend on the overall order of the reaction. For a zero-order reaction, the units are mol/L·s; for a first-order reaction, they are s^-1; and for a second-order reaction, they are L/(mol·s). Understanding the units of k is crucial for ensuring that the rate law is dimensionally consistent and for converting between different units in chemical kinetics.
추천 영상:
가이드 코스
Equilibrium Constant K
관련 실천
교과서 질문
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교과서 질문
Consider the gas-phase reaction between nitric oxide and bromine at 273°C: 2 NO(g) + Br2(g) → 2 NOBr(g). The following data for the initial rate of appearance of NOBr were obtained:
Experiment [NO] (M) [Br2] (M) Initial Rate (M/s)
1 0.10 0.20 24
2 0.25 0.20 150
3 0.10 0.50 60
4 0.35 0.50 735
(b) Calculate the average value of the rate constant for the appearance of NOBr from the four data sets.
1004
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교과서 질문
(b) How can you calculate the rate constant for a first-order reaction from the graph you made in part (a)?
교과서 질문
The decomposition of sodium bicarbonate (baking soda), NaHCO3(s), into Na2CO3(s), H2O(l), and CO2(g) at constant pressure requires the addition of 85 kJ of heat per two moles of NaHCO3. (b) Draw an enthalpy diagram for the reaction.
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