5. (McQuarrie 7.9) Calculate the probability that a hydrogen 1s electron will be found within a distance 2a0 from the nucleus. 6. (McQuarrie 7.14) By evaluating the appropriate integrals, compute bri in the 2s, 2p, and 3s states of the hydrogen atom. How does the average distance between the electron and nucleus change among the three states?

5. (McQuarrie 7.9) Calculate the probability that a hydrogen 1s electron will be found within a distance 2a0 from the nucleus. 6. (McQuarrie 7.14) By evaluating the appropriate integrals, compute bri in the 2s, 2p, and 3s states of the hydrogen atom. How does the average distance between the electron and nucleus change among the three states?

Principles of Modern Chemistry

8th Edition

ISBN:9781305079113

Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler

Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler

Chapter5: Quantum Mechanics And Atomic Structure

Section: Chapter Questions

Problem 48AP: The wave function of an electron in the lowest (that is, ground) state of the hydrogen atom is (r)=(...

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The wave function of an electron in the lowest (that is, ground) state of the hydrogen atom is (r)=( 1 a 0 3 )1/2exp(r a 0 )ao=0.5291010m (a) What is the probability of finding the electron inside a sphere of volume 1.0pm2 , centered at the nucleus (1pm=1012m) ? (b) What is the probability of finding the electron in a volume of 1.0pm2 at a distance of 52.9 pm from the nucleus, in a fixed but arbitrary direction? (c) What is the probability of finding the electron in a spherical shell of 1.0 pm in thickness, at a distance of 52.9 pm from the nucleus?
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