EBK CHEMICAL PRINCIPLES
8th Edition
ISBN: 8220101425812
Author: DECOSTE
Publisher: Cengage Learning US
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Chapter 15, Problem 9DQ
Provide a conceptual rationale for the differences in the half-lives of zero-, first-, and second-order reactions.
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Chapter 15 Solutions
EBK CHEMICAL PRINCIPLES
Ch. 15 - Prob. 1DQCh. 15 - Prob. 2DQCh. 15 - a graph of [A] versus time for zero-, first-, and...Ch. 15 - Prob. 4DQCh. 15 - Prob. 5DQCh. 15 - Prob. 6DQCh. 15 - Prob. 7DQCh. 15 - Prob. 8DQCh. 15 - Provide a conceptual rationale for the differences...Ch. 15 - Prob. 10E
Ch. 15 - Consider the general reaction aA+bBcC and the...Ch. 15 - Prob. 12ECh. 15 - Prob. 13ECh. 15 - Prob. 14ECh. 15 - Prob. 15ECh. 15 - The hydroxyl radical (OH) is an important...Ch. 15 - Prob. 17ECh. 15 - The reaction 2NO(g)+Cl2(g)2NOCl(g) was studied at...Ch. 15 - Prob. 19ECh. 15 - The following data were obtained for the gas-phase...Ch. 15 - Prob. 21ECh. 15 - Prob. 22ECh. 15 - Prob. 23ECh. 15 - Prob. 24ECh. 15 - Prob. 25ECh. 15 - Prob. 26ECh. 15 - Prob. 27ECh. 15 - Prob. 28ECh. 15 - If the half-life for a reaction is 20. seconds,...Ch. 15 - A certain reaction has the following general form:...Ch. 15 - Prob. 31ECh. 15 - Prob. 32ECh. 15 - The decomposition of hydrogen peroxide was studied...Ch. 15 - Prob. 34ECh. 15 - Prob. 35ECh. 15 - Prob. 36ECh. 15 - At 500K in the presence of a copper surface,...Ch. 15 - Experimental data for the reaction A2B+C have been...Ch. 15 - The reaction NO(g)+O3(g)NO2(g)+O2(g) was studied...Ch. 15 - Determine the forms of the integrated and the...Ch. 15 - Prob. 41ECh. 15 - Prob. 42ECh. 15 - Prob. 43ECh. 15 - Prob. 44ECh. 15 - Prob. 45ECh. 15 - Prob. 46ECh. 15 - Prob. 47ECh. 15 - Prob. 48ECh. 15 - Prob. 49ECh. 15 - Prob. 50ECh. 15 - Prob. 51ECh. 15 - Prob. 52ECh. 15 - Prob. 53ECh. 15 - Prob. 54ECh. 15 - Prob. 55ECh. 15 - Define each of the following. elementary step...Ch. 15 - Define what is meant by unimolecular and...Ch. 15 - What two requirements must be met to call a...Ch. 15 - Prob. 59ECh. 15 - Prob. 60ECh. 15 - A proposed mechanism for a reaction is...Ch. 15 - Is the mechanism NO+Cl2k1NOCl2NOCl2+NOk22NOCl...Ch. 15 - The reaction 2NO(g)+O2(g)2NO2(g) exhibits the rate...Ch. 15 - Prob. 64ECh. 15 - The reaction...Ch. 15 - Prob. 66ECh. 15 - Prob. 67ECh. 15 - Prob. 68ECh. 15 - The following mechanism is proposed for the...Ch. 15 - The following mechanism has been proposed to...Ch. 15 - Consider the hypothetical reaction BE+F which is...Ch. 15 - How is the rate of a reaction affected by each of...Ch. 15 - The central idea of the collision model is that...Ch. 15 - Prob. 74ECh. 15 - Prob. 75ECh. 15 - Consider the following potential energy plots Rank...Ch. 15 - Prob. 77ECh. 15 - Prob. 78ECh. 15 - Prob. 79ECh. 15 - Prob. 80ECh. 15 - Prob. 81ECh. 15 - Chemists commonly use a rule of thumb that an...Ch. 15 - Prob. 83ECh. 15 - Prob. 84ECh. 15 - Prob. 85ECh. 15 - Prob. 86ECh. 15 - For the following reaction profiles, indicate the...Ch. 15 - Prob. 88ECh. 15 - Prob. 89ECh. 15 - Prob. 90ECh. 15 - Prob. 91ECh. 15 - Prob. 92ECh. 15 - The decomposition of NH3 to N2 and H2 was studied...Ch. 15 - One pathway for the destruction of ozone in the...Ch. 15 - Prob. 95ECh. 15 - Prob. 96ECh. 15 - Prob. 97ECh. 15 - Prob. 98ECh. 15 - Prob. 99ECh. 15 - Prob. 100AECh. 15 - Prob. 101AECh. 15 - Prob. 102AECh. 15 - Prob. 103AECh. 15 - Prob. 104AECh. 15 - Prob. 105AECh. 15 - Prob. 106AECh. 15 - Prob. 107AECh. 15 - Prob. 108AECh. 15 - Prob. 109AECh. 15 - The decomposition of NO2(g) occurs by the...Ch. 15 - Prob. 111AECh. 15 - Prob. 112AECh. 15 - Prob. 113AECh. 15 - Prob. 114AECh. 15 - Prob. 115AECh. 15 - Prob. 116AECh. 15 - The compound NO2Cl is thought to decompose to NO2...Ch. 15 - Prob. 118AECh. 15 - Prob. 119AECh. 15 - Prob. 120AECh. 15 - Prob. 121AECh. 15 - Prob. 122AECh. 15 - Prob. 123AECh. 15 - Prob. 124AECh. 15 - Prob. 125AECh. 15 - Prob. 126AECh. 15 - Consider the following reaction: CH3X+YCH3Y+X At...Ch. 15 - The following data were collected in two studies...Ch. 15 - Prob. 129CPCh. 15 - For the reaction 2A+Bproducts afriend proposes the...Ch. 15 - Consider the hypothetical reaction A+B+2C2D+3E In...Ch. 15 - A reaction represented by the equation...Ch. 15 - Prob. 133CPCh. 15 - You are studying the kinetics of the reaction...Ch. 15 - Prob. 135CPCh. 15 - Prob. 136MP
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- 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_forwardDerive an expression for the half-life of a a third order reaction;b a reaction whose order is =1; c a reaction whose order is 12. In these last two cases, examples are rare but known.arrow_forwardExplain why half-lives are not normally used to describe reactions other than first order.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_forwardMany biochemical reactions are catalyzed by acids. A typical mechanism consistent with the experimental results (in which HA is the acid and X is the reactant) is Step 1: Step 2: Step 3: Derive the rate law from this mechanism. Determine the order of reaction with respect to HA. Determine how doubling the concentration of HA would affect the rate of the reaction.arrow_forwardThe frequency factor A is 6.31 108 L mol1 s1 and the activation energy is 10. kJ/mol for the gas-phase reaction NO(g)+O3(g)NO2(g)+O2(g) which is important in the chemistry of stratospheric ozone depletion. (a) Calculate the rate constant for this reaction at 370. K. (b) Assuming that this is an elementary reaction, calculate the rate of the reaction at 370. K if [NO] = 0.0010 M and [O3] = 0.00050 M.arrow_forward
- The decomposition of ozone is a second-order reaction with a rate constant of 30.6 atm1 s1 at 95 C. 2O3(g)3O2(g) If ozone is originally present at a partial pressure of 21 torr, calculate the length of time needed for the ozone pressure to decrease to 1.0 torr.arrow_forwardAt 620. K butadiene dimerizes at a moderate rate. The following data were obtained in an experiment involving this reaction: t(s) [C4H6] (mol/L) 0 0.01000 1000.. 0.00629 2000. 0.00459 3000. 0.00361 a. Determine the order of the reaction in butadiene. b. In how many seconds is the dimerization 1.0% complete? c. In how many seconds is the dimerization 10.0% complete? d. What is the half-life for the reaction if the initial concentration of butadiene is 0.0200 M? e. Use the results from this problem and Exercise 45 to calculate the activation energy for the dimerization of butadiene.arrow_forwardWhat is the half-life of benzene diazonium chloride decomposition at 20C? See Problem 13.100 for data.arrow_forward
- Consider the first-order decomposition of phosgene at a certain temperature. COCl2(g)productsIt is found that the concentration of phosgene is 0.0450 M after 300 seconds and 0.0200 M after 500 seconds. Calculate the following: (a) the rate constant at the temperature of the decomposition (b) the half-life of the decomposition (c) the intial concentration of phosgenearrow_forwardIf 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_forwardThe initial concentration of the reactant in a tirst-order reaction A —» products is 0.64 rnol/L and the half-life is 30.0 s. Calculate the concentration of the reactant exactly 60 s after initiation of the reaction. How long would it take for the concentration of the reactant to drop to one-eighth its initial value? How long would it take for the concentration of the reactant to drop to 0.040 mol/L?arrow_forward
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