rate of ith decay mechanismrate of removal of the singlet staterate of ith decay mechanismrate of formation of the singlet staterate of removal of the singlet staterate of ith decay mechanismStep 4 of 6Give the quantum yield j. (Use the following as necessary: kj, k1, k2, k3, and t.)k;k1 + k, + kki3ki + k2 + k3Recalling the relationship between the overall rate constant, k, and the mean lifetime, T, give the quantum yield ¢; in terms of t and Tj. (Use the following as necessary: T and T;)O; =iStep 5 of 6(c) If T1 = 1×10-7 s, Tɔ = 4×10-8s, and T3 = 1×10-8s, calculate the lifetime of the singlet state and the quantum yield for the path that has Tɔ. (Enter an unrounded value with at least 3 digits.)Calculateusing the equation given in (b).1135e6135000000 s-1Solve for T, the lifetime of the singlet state.T = |7.407e-97.40740740740741e-09 sStep 6 of 6Give the equation for the quantum yield for the path that has T2, P2. (Use the following as necessary: T, T1, T2, and T3.)P2 =Calculate the quantum yield, P2, with the given values. (Enter an unrounded value with at least 3 digits.)

Given: Γ =7.407×10-9 sTo Calculate:Quantum yield (φ2)

Give the equation for the quantum yield for the path that has T2, 02. (Use the following as necessary: T, T1, T2, and T3.) Calculate the quantum yield, 2, with the given values. (Enter an unrounded value with at least 3 digits.)

Give the equation for the quantum yield for the path that has T2, 02. (Use the following as necessary: T, T1, T2, and T3.) Calculate the quantum yield, 2, with the given values. (Enter an unrounded value with at least 3 digits.)

Chemistry

10th Edition

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

Section: Chapter Questions

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

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Question

rate of ith decay mechanism
rate of removal of the singlet state
rate of ith decay mechanism
rate of formation of the singlet state
rate of removal of the singlet state
rate of ith decay mechanism
Step 4 of 6
Give the quantum yield j. (Use the following as necessary: kj, k1, k2, k3, and t.)
k;
k1 + k, + k
ki
3
ki + k2 + k3
Recalling the relationship between the overall rate constant, k, and the mean lifetime, T, give the quantum yield ¢; in terms of t and Tj. (Use the following as necessary: T and T;)
O; =
i
Step 5 of 6
(c) If T1 = 1×10-7 s, Tɔ = 4×10-8
s, and T3 = 1×10-8
s, calculate the lifetime of the singlet state and the quantum yield for the path that has Tɔ. (Enter an unrounded value with at least 3 digits.)
Calculate
using the equation given in (b).
1
135e6
135000000 s-1
Solve for T, the lifetime of the singlet state.
T = |7.407e-9
7.40740740740741e-09 s
Step 6 of 6
Give the equation for the quantum yield for the path that has T2, P2. (Use the following as necessary: T, T1, T2, and T3.)
P2 =
Calculate the quantum yield, P2, with the given values. (Enter an unrounded value with at least 3 digits.)

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