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Statistical Mechanics
,
Thermodynamics
Thermodynamics, Statistical Thermodynamics, & Kinetics
164 SOLVED PROBLEMS
Question: 6.11
Using the result of Example Problem 6.10 and the data tables, consider the dissociation equilibrium Cl2(g)→←2Cl(g).a. Calculate KP at 800. K, 1500. K, and 2000. K for P=0.010 bar. b. Calculate the degree of dissociation α at 300. K, 1500. K, and 2000. K. ...
Verified Answer:
a.
\Delta G°_{R}=2\Delta G°_{f}\left( Cl,...
Question: 6.10
In this example, n0 moles of chlorine gas are placed in a reaction vessel whose temperature can be varied over a wide range, so that molecular chlorine can partially dissociate to atomic chlorine. a. Define the degree of dissociation as α=δeq/n0 , where is 2δeq the number of moles of Cl(g) ...
Verified Answer:
a. We set up the following table:
Cl_{2...
Question: 6.9
a. Using data from Table 4.1 (see Appendix A, Data Tables), calculate KP at 298.15 K for the reaction (CO(g)+H2O(l)→CO2(g)+H2(g). b. Based on the value that you obtained for part (a), do you expect the mixture to consist mainly of CO2(g) and H2(g) or mainly of CO(g) +H2O(l) at equilibrium? ...
Verified Answer:
a.
\ln K_{P}=-\frac{1}{RT}\Delta G°_{R}[/l...
Question: 4.4
The enthalpy of solution for the reaction Na2SO4(s)→2 Na^+(aq)+SO4^2-(aq)is determined in a constant pressure calorimeter. The calorimeter constant was determined to be 342.5 J K-¹.When 1.423 g of Na2So4 is dissolved in 100.34 g of H2O(l),ΔT=0.031 K. Calculate ΔH°solution for Na2SO4 from these ...
Verified Answer:
\Delta H°_{solution}=-\frac{M_{salt}}{m_{sa...
Question: 19.6
The reactant 1,3-cyclohexadiene can be photochemically converted to cis hexatriene. In an experiment, 2.5 mmol of cyclohexadiene are converted to cis-hexatriene when irradiated with 100. W of 280. nm light for 27.0 s. All of the light is absorbed by the sample. What is the overall quantum ...
Verified Answer:
First, the total photon energy absorbed by the sam...
Question: 19.7
The experimental results presented earlier demonstrate that a maximum in the rate constant for electron transfer (∼2.0×10^9 s-¹) occurs when -ΔG°=1.20 eV. Given this observation, estimate the rate constant for electron transfer when 2-naphthoquinoyl is employed as the acceptor for which -ΔG°=1.93 ...
Verified Answer:
The rate constant for electron transfer is predict...
Question: 18.10
The thermal decomposition reaction of nitrosyl halides is important in tropospheric chemistry. For example, consider the decomposition of NOCl:2 NOCl(g)→2 NO(g)+Cl2(g) The Arrhenius parameters for this reaction are A=1.00×10^13 M-¹ s-¹ and Ea=104.0 kJ mol-¹.Calculate ΔH and ΔS for this reaction ...
Verified Answer:
This is a bimolecular reaction such that
\D...
Question: 19.3
Consider the following reaction of methane with molecular chlorine:CH4(g)+Cl2(g)→CH3CHcl(g)+HCl(g)Experimental studies have shown that the rate law for this reaction is one-half order with respect to Cl2. Is the following mechanism consistent with this behavior? Cl2→2Cl·Cl·+CH4→HCl+CH3·CH3·+Cl2→ ...
Verified Answer:
The rate of reaction in terms of product
HC...
Question: 19.5
You are designing a FRET experiment to determine the magnitude of the structural change introduced by substrate binding to an enzyme. Using site specific mutagenesis, you have constructed a mutant form of the enzyme that possesses a single tyrosine residue and a single tryptophan residue, and ...
Verified Answer:
Using the initial separation distance and
r...
Question: 19.4
Thomaz and Stevens (in Molecular Luminescence, New York: W. A. Benjamin Inc, 1969) studied the fluorescence quenching of pyrene in solution. Using the following information, determine kf and kq for pyrene in the presence of the quencher Br6C6. ...
Verified Answer:
Using Equation (19.171), a plot of
\left(\t...
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