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(a)
Interpretation:
To determine the concentration-time relation for a second order reaction.
Concept introduction:
The order of a reaction is an experimental value. It can be defined as the sum of the powers of the concentrations of the reactant molecules in the rate equation of a given
The rate law expression of a given reaction is related to its rate and also to the concentrations of the reactant molecules.Second order reactions are those reactions in which the rate of the reactions is directly proportional to the square of the concentration of one reactant in a given chemical reaction.
(b)
Interpretation:
To determine the concentration-time relation for a third order reaction.
Concept introduction:
The order of a reaction is an experimental value. It can be defined as the sum of the powers of the concentrations of the reactant molecules in the rate equation of a given chemical reaction.
The rate law expression of a given reaction is related to its rate and also to the concentrations of the reactant molecules. A given reaction is said to be third order if the rate of the reaction is determined by varying the three concentration terms.
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Chapter 11 Solutions
Chemistry: Principles and Reactions
- If you know some calculus, derive the integrated first-order rate law for the reaction by following these steps: Define the reaction rate in terms of [A]. Write the rate law in terms of [A], k, and t. Separate variables in the rate law. Integrate the rate law. Write the integrated equation in the form . Derive the half-life as was done in Section 11-3c.arrow_forwardFor the reaction A+BC, explain at least two ways in which the rate law could be zero order in chemical A.arrow_forwardThree first-order reactions have the following activation energies: (a) Which reaction is the fastest? (b) Which reaction has the largest half-life? (c) Which reaction has the largest rate?arrow_forward
- The hydrolysis of the sugar sucrose to the sugars glucose and fructose, C12H22O11+H2OC6H12O6+C6H12O6 follows a first-order rate equation for the disappearance of sucrose: Rate =k[C12H22O11] (The products of the reaction, glucose and fructose, have the same molecular formulas but differ in the arrangement of the atoms in their molecules.) (a) In neutral solution, k=2.11011s1 at 27 C and 8.51011s1 at 37 C. Determine the activation energy, the frequency factor, and the rate constant for this equation at 47 C (assuming the kinetics remain consistent with the Arrhenius equation at this temperature). (b) When a solution of sucrose with an initial concentration of 0.150 M reaches equilibrium, the concentration of sucrose is 1.65107M . How long will it take the solution to reach equilibrium at 27 C in the absence of a catalyst? Because the concentration of sucrose at equilibrium is so low, assume that the reaction is irreversible. (c) Why does assuming that the reaction is irreversible simplify the calculation in pan (b)?arrow_forward. find the rate law predicted for a particular reaction mechanism.arrow_forwardWhen enzymes are present at very low concentration, their effect on reaction rate can be described by first-order kinetics. Calculate by what factor the rate of an enzyme-catalyzed reaction changes when the enzyme concentration is changed from 1.5 107 M to 4.5 106 M.arrow_forward
- As with any drug, aspirin (acetylsalicylic acid) must remain in the bloodstream long enough to be effective. Assume that the removal of aspirin from the bloodstream into the urine is a lirst-order reaction, with a half-life of about 3 hours. The instructions on an aspirin bottle say to take 1 or 2 tablets every 4 hours. If a person takes 2 aspirin tablets, how much aspirin remains in the bloodstream when it is time for the second dose? (A standard tablet contains 325 mg of aspirin.)arrow_forwardWhen phenacyl bromide and pyridine are both dissolved in methanol, they react to form phenacylpyridinium bromide. When equal concentrations of reactants were mixed in methanol at 35 C, these data were obtained: (a) Determine the rate law for this reaction. (b) Determine the overall order of this reaction. (c) Determine the rate constant for this reaction. (d) Determine the rate constant for this reaction when the concentration of each reactant is 0.030 mol/L.arrow_forwardFor this reaction mechanism, write the chemical equation for the overall reaction. write the rate law for the reaction. is there a catalyst involved in this reaction? If so, what is it? identify all intermediates in the reaction. draw a reaction energy diagram for the reaction.arrow_forward
- The initial rate for a reaction is equal to the slope of the tangent line at t 0 in a plot of [A] versus time. From calculus, initial rate = d[A]dt . Therefore. the differential rate law for a reaction is Rate = d[A]dt=k[A]n. Assuming you have some calculus in your background, derive the zero-, first-, and second-order integrated rate laws using the differential rate law.arrow_forwardThe Raschig reaction produces the industrially important reducing agent hydrazine, N2H4, from ammonia, NH3, and hypochlorite ion, OCl−, in basic aqueous solution. A proposed mechanism is Step 1: Step 2: Step 3: What is the overall stoichiometric equation? Which step is rate-limiting? What reaction intermediates are involved? What rate law is predicted by this mechanism?arrow_forwardFor the reaction of phenyl acetate with water the concentration as a function of time was given in Question 11. Assume that the concentration of water does not change during the reaction. Analyze the data from Question 11 to determine (a) the rate law. (b) the order of the reaction with respect to phenyl acetate. (c) the rate constant. (d) the rate of reaction when the concentration of phenyl acetate is 0.10 mol/L (assuming that the concentration of water is the same as in the experiments in the table in Question 11).arrow_forward
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