Q1: A very unstable molecule, 'XYZ', decomposes via the following set of first order reactions,XY+Zk₂XYZk₁«k3X + YZX+Y+ZIf the initial concentration of XYZ is [XYZ]o, show that the decomposition of XYZ follows,[XYZ] = [XYZ]o exp[-(k)+k₂+ k3)t]Q2: Radioactive decay is a first order kinetic process. A convenient source of gamma rays forradiation chemistry research is 60Co, which decays to give a beta particle, gamma rays and Ni.The half-life for the decay is 5.27 years. What is the rate constant for the decay process? Howmany days will it take for a sample of 60Co to decay to 1/8th of its original amount?Q3: Hydrogen peroxide, H₂O2, decomposes in water by a first order kinetic process. A solutionof 0.156 mol/L H₂O2 in water has an initial decomposition rate of 1.14 x 105 mol L´¹s¹.Calculate the rate constant for the decomposition reaction and the half-life of the reaction.Q 4: The equilibrium constant for the reaction H+ (aq) + OH(aq) = H₂O () at 25 °C is5.49 x 10¹5 L mol-¹. The time-dependent conductivity of the solution following a temperaturejump to a final temperature of 25 °C shows a relaxation time of t = 3.7 x 10¹5 s. Determine thevalues of the rate constant ki and k-1. The density of water at 25°C is 0.997 g/ml.Q5: The water flea Daphnia performs a constant number of heartbeats and then dies. The flealives twice as long at 15 °C as at 25 °C. Calculate the activation energy for the reaction thatcontrols the rate of its heartbeat.Q6: In a reaction vessel, reactant A forms two different products P₁ and P2 in two individualfirst order reactions with activation energies of Eal and Ea2 (respectively) as follows,AP₁Show that the total observed activation energy E, can be written as,k₁. Ea1 + K₂.Eazk₁+ K₂E₂ =

Answered: Q1: A very unstable molecule, 'XYZ',…

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ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

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Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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Q1: A very unstable molecule, 'XYZ', decomposes via the following set of first order reactions,
XY+Z
k₂
XYZ
k₁
«
k3
X + YZ
X+Y+Z
If the initial concentration of XYZ is [XYZ]o, show that the decomposition of XYZ follows,
[XYZ] = [XYZ]o exp[-(k)+k₂+ k3)t]
Q2: Radioactive decay is a first order kinetic process. A convenient source of gamma rays for
radiation chemistry research is 60Co, which decays to give a beta particle, gamma rays and Ni.
The half-life for the decay is 5.27 years. What is the rate constant for the decay process? How
many days will it take for a sample of 60Co to decay to 1/8th of its original amount?
Q3: Hydrogen peroxide, H₂O2, decomposes in water by a first order kinetic process. A solution
of 0.156 mol/L H₂O2 in water has an initial decomposition rate of 1.14 x 105 mol L´¹s¹.
Calculate the rate constant for the decomposition reaction and the half-life of the reaction.
Q 4: The equilibrium constant for the reaction H+ (aq) + OH(aq) = H₂O () at 25 °C is
5.49 x 10¹5 L mol-¹. The time-dependent conductivity of the solution following a temperature
jump to a final temperature of 25 °C shows a relaxation time of t = 3.7 x 10¹5 s. Determine the
values of the rate constant ki and k-1. The density of water at 25°C is 0.997 g/ml.
Q5: The water flea Daphnia performs a constant number of heartbeats and then dies. The flea
lives twice as long at 15 °C as at 25 °C. Calculate the activation energy for the reaction that
controls the rate of its heartbeat.
Q6: In a reaction vessel, reactant A forms two different products P₁ and P2 in two individual
first order reactions with activation energies of Eal and Ea2 (respectively) as follows,
A
P₁
Show that the total observed activation energy E, can be written as,
k₁. Ea1 + K₂.Eaz
k₁+ K₂
E₂ =

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$XYZ space rightwards arrow space straight X plus space YZ space left parenthesis Rate space constant colon space straight k subscript 1 right parenthesis XYZ space space rightwards arrow space XY plus straight Z space left parenthesis Rate space constant colon space straight k subscript 2 right parenthesis space XYZ space rightwards arrow space straight X space plus space straight Y space plus space straight Z space left parenthesis Rate space constant colon space straight k subscript 3 right parenthesis$

The order of a chemical reaction is a way to describe how the rate of the reaction depends on the concentration of reactants. There are three main types of reaction orders: zero order, first order, and second order.In a first-order reaction, the rate of the reaction is directly proportional to the concentration of one reactant.

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