(a)
Interpretation:
The order for the given reaction should be determined using the given set of data.
Concept introduction:
Rate law: It is generally the rate equation that consists of the reaction rate with the concentration or the pressures of the reactants and constant parameters.
Rate constant: The rate constant for a
Rate order: The order of each reactant in a reaction is represented by the exponential term of the respective reactant present in the rate law and the overall order of the reaction is the sum of all the exponents of all reactants present in the chemical reaction. The order of the reaction is directly proportional to the concentration of the reactants.
(b)
Interpretation:
The rate constant for the given reaction should be determined using the given set of data.
Concept introduction:
Rate law: It is generally the rate equation that consists of the reaction rate with the concentration or the pressures of the reactants and constant parameters.
Rate constant: The rate constant for a chemical reaction is the proportionality term in the chemical reaction rate law which gives the relationship between the rate and the concentration of the reactant present in the chemical reaction.
Rate order: The order of each reactant in a reaction is represented by the exponential term of the respective reactant present in the rate law and the overall order of the reaction is the sum of all the exponents of all reactants present in the chemical reaction. The order of the reaction is directly proportional to the concentration of the reactants.
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Chapter 14 Solutions
Chemistry & Chemical Reactivity
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- Acetone is one of the most important solvents in organic chemistry. It is used to dissolve everything from fats and waxes to airplane glue and nail polish. At high temperatures, it decomposes in a first-order process to methane and ketene (CH2═C═O). At 600°C, the rate constant is 8.7 × 10−3 s−1. (a) What is the half-life of the reaction? Give your answer in scientific notation. (b) How long does it take for 38% of a sample of acetone to decompose? (c) How long does it take for 81% of a sample of acetone to decompose? Give your answer in scientific notation.arrow_forward(a) Describe the term “integrated rate law” and briefly explain how it can be used tographically obtain the order of a reaction. (4)(b) Define the term “half-life of a substance” and briefly explain how it be used todetermine the order of the reaction and the rate constant for a first-order reaction. (4)arrow_forward36. The gas-phase reaction H+ D2 → HD + D is the exchange of isotopes of hydrogen of atomic mass 1 (H) and 2 (D, deuterium). The following data were obtained for the rate constant k of this reaction: Temperature (K) k (L mol-1 s-1) 299 1.56 x 104 327 3.77 x 104 346 7.6 x 104 440 106 549 1.07 × 105 745 8.7 x 107arrow_forward
- The reaction A + B → P is found to be first order in both A and B. The reaction was carried out in a solution that was initially 0.080 mol dm−3 in A and 0.060 mol dm−3 in B. After 1.0 h the concentration of B had fallen to 0.030 mol dm−3. (i) Calculate the rate constant. (ii) What are the half-lives of the reactants?arrow_forward(a) A reaction is second order in A and first order in B.(i) Write the differential rate equation.(ii) How is the rate affected on increasing the concentration of A three times?(iii) How is the rate affected when the concentrations of both A and B are doubled?(b) A first order reaction takes 40 minutes for 30% decomposition. Calculate t1/2 for this reaction. (Given: log 1.428 = 0.1548)arrow_forwardAcetone is one of the most important solvents in organicchemistry, used to dissolve everything from fats and waxes toairplane glue and nail polish. At high temperatures, it decom-poses in a first-order process to methane and ketene(CH2=C=O). At 600C, the rate constant is 8.7x10^-3s⁻¹.(a) What is the half-life of the reaction?(b) How long does it take for 40.% of a sample of acetone todecompose?(c) How long does it take for 90.% of a sample of acetone todecompose?arrow_forward
- Many drugs decompose in blood by a first-order process.(a) Two tablets of aspirin supply 0.60 g of the active compound.After 30 min, this compound reaches a maximum concentra-tion of 2 mg/100 mL of blood. If the half-life for its break-down is 90 min, what is its concentration (in mg/100 mL) 2.5 h after it reaches its maximum concentration?(b) For the decomposition of an antibiotic in a person with a nor-mal temperature (98.6°F), k=3.110⁻⁵s⁻¹; for a person witha fever at 101.9°F, k=3.910⁻⁵s⁻¹. If the person with thefever must take another pill when of the first pill has decom-posed, how many hours should she wait to take a second pill? A third pill? (Assume the pill is effective immediately.)(c) Calculate Eₐ for decomposition of the antibiotic in part (b)arrow_forward!arrow_forwardWhich of the following is correct? (A) The activation energy changes when temperature changes. (B) The Arrhenius equation only applies to 1st order reactions. (C) The rate constants at higher temperatures are ALWAYS larger than at low temperatures for the same chemical reaction. (D) The rates of reaction at higher temperatures are ALWAYS larger than at low temperatures for the same chemical reaction.arrow_forward
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