Question

(a) For an electron donor/acceptor pair at 298 K, Ha(d)=0.04 cm1,ΔrG=0.185 eV,H_{a}(d)=0.04\ \mathrm{cm}^{-1}, \Delta_{r} G^{\ominus}=-0.185\ \mathrm{eV}, and kn=37.5 s1.k_{n}=37.5\ \mathrm{s}^{-1}. Use mathematical software to estimate the value of the reoryanization energy. (b) For an electron donor/acceptor pair at 298 K, ka=2.02×103 s1k_{a}=2.02 \times 10^{3}\ \mathrm{s}^{-1} and ΔrG=0.665 eV.\Delta_{r} G^{\ominus}=-0.665\ \mathrm{eV}. The standard reaction Gibbs energy changes to ΔrG=0.975 eV\Delta_{r} G^{\ominus}= -0.975\ \mathrm{eV} when a substituent is added to the electron acceptor and the rate constant for electron transfer changes to kn=3.33×106 s1.k_{n}=3.33 \times 10^{6}\ \mathrm{s}^{-1}. Assume that the distance between donor and acceptor is the same in both experiments and estimate the values of Hn(d)H_{\mathrm{n}}(d) and ΔER.\Delta E_{\mathrm{R}}.

Solution

Verified
Answered 1 year ago
Answered 1 year ago
Step 1
1 of 8

(a):

In this question, we have an electron transfer reaction which occurs at 298 K. In this given reaction, by using any mathematical software, we need to calculate the reorganisational energy of this reaction.

Given data:

Hamiltonian operator, Het(d)=0.04H_{et} (d) = 0.04 cm1^{-1}

Standard Gibbs energy for the electron transfer process, ΔrGϕ=0.185\Delta_r G^{\phi} = -0.185 eV

Rate constant for the electron-transfer reaction, ket=37.5k_{et} = 37.5 s1^{-1}

T = 298 K

Boltzmann Constant kk = 1.38×10231.38 \times 10^{-23} J/K = 1.38×10231.602×1019\dfrac{1.38 \times 10^{-23}}{1.602\times10^{-19}} eV

Reorganisation energy, ΔER\Delta E_R = ?

Create an account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy
Continue with GoogleContinue with Facebook

Create an account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy
Continue with GoogleContinue with Facebook

Recommended textbook solutions

Pearson Chemistry by Matta, Staley, Waterman, Wilbraham

Pearson Chemistry

Matta, Staley, Waterman, Wilbraham
3,748 solutions
Chemistry: The Central Science 14th Edition by Bruce Edward Bursten, Catherine J. Murphy, H. Eugene Lemay, Matthew E. Stoltzfus, Patrick Woodward, Theodore E. Brown

Chemistry: The Central Science

14th EditionBruce Edward Bursten, Catherine J. Murphy, H. Eugene Lemay, Matthew E. Stoltzfus, Patrick Woodward, Theodore E. Brown
7,741 solutions
Atkins' Physical Chemistry 11th Edition by James Keeler, Julio de Paula, Peter Atkins

Atkins' Physical Chemistry

11th EditionJames Keeler, Julio de Paula, Peter Atkins
1,691 solutions
Modern Chemistry 1st Edition by Jerry L. Sarquis, Mickey Sarquis

Modern Chemistry

1st EditionJerry L. Sarquis, Mickey Sarquis
2,184 solutions

Related questions