9. The energy of an electron in a one dimensional particle in a box is given by E, =n'h'/8m,a. The mass of an electron is 9.1094 x 10 31 kg. If a is taken as the average length of a carbon-carbon bond, the energy needed to excite an electron from the n=1 (ground) state to the n=2 (1ª excited) state corresponds to light of wavelength 17.0 nm. Assuming that an electron in a bond is approximated by the particle-in-a- box model, calculate the average length of a carbon-carbon bond, i.e. "a".

9. The energy of an electron in a one dimensional particle in a box is given by E, =n'h'/8m,a. The mass of an electron is 9.1094 x 10 31 kg. If a is taken as the average length of a carbon-carbon bond, the energy needed to excite an electron from the n=1 (ground) state to the n=2 (1ª excited) state corresponds to light of wavelength 17.0 nm. Assuming that an electron in a bond is approximated by the particle-in-a- box model, calculate the average length of a carbon-carbon bond, i.e. "a".

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

9. The energy of an electron in a one dimensional particle in a box is given by E =n'h/8m a². The
mass of an electron is 9.1094 x 1031 kg. If a is taken as the average length of a carbon-carbon bond, the
energy needed to excite an electron from the n=1 (ground) state to the n=2 (1 excited) state corresponds
to light of wavelength 17.0 nm. Assuming that an electron in a bond is approximated by the particle-in-a-
box model, calculate the average length of a carbon-carbon bond, i.e. "a".

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