Q: A photon has a frequency of $$1.821 \times 10$$^{16}$$ \ \mathrm{s}^{-1}. $$What is its energy in joules? Use $$h = 6.626 \times 10$$^{-34}$$ \ \mathrm{J \cdot s}.$$

$$E = h \nu = (6.626 \times 10$$^{-34}$$)(1.821 \times 10$$^{16}$$) = 1.21 \times 10$$^{-17}$$ \ \mathrm{J}$$

Q: An electron in a hydrogen atom transitions from $$n=2 to$$ $$n=5. $$What is the energy change associated with this transition?

$$\Delta E = (2.18 \times 10$$^{-18}$$ \ \mathrm{J}) \left( \frac{1}{5^2$} - \frac{1}{2^2$} \right) = 4.6 \times 10$$^{-19}$$ \ \mathrm{J}$$

Q: Calculate the de Broglie wavelength of a $$2.0\ \mathrm{kg}$$ object moving at $$50\ \mathrm{m/s}. $$Use $$h = 6.626 \times 10$$^{-34}$$ \ \mathrm{J \cdot s}.$$

$$\lambda = \frac{h}{mv} = \frac{6.626 \times 10$$^{-34}$$}{2.0 \times 50} = 6.6 \times 10$$^{-36}$$ \ \mathrm{m}$$

Q: An FM radio station broadcasts at a frequency of $$98.2\ \mathrm{MHz}. $$What is the wavelength of this radiation in meters? ($$c = 3.00 \times 10^8$\ \mathrm{m/s})$$

$$\lambda = \frac{c}{\nu} = \frac{3.00 \times 10^8$}{98.2 \times 10^6$} = 3.055\ \mathrm{m}$$

Q: A sodium street lamp emits yellow light at a wavelength of $$589\ \mathrm{nm}. $$What is the frequency of this light? ($$c = 3.00 \times 10^8$\ \mathrm{m/s})$$

$$\nu = \frac{c}{\lambda} = \frac{3.00 \times 10^8$}{589 \times 10$$^{-9}$$} = 5.09 \times 10$$^{14}$$\ \mathrm{Hz}$$

Question 1

Which of the following statements best describes the Pauli Exclusion Principle?

Accepted Answer

No two electrons in the same atom can have the same set of four quantum numbers.

Question 2

A photon has a frequency of $$1.821 	imes 10$$^{16}$$ \ \mathrm{s}^{-1}. $$What is its energy in joules? Use $$h = 6.626 	imes 10$$^{-34}$$ \ \mathrm{J \cdot s}.$$

Accepted Answer

$$E = h 
u = (6.626 	imes 10$$^{-34}$$)(1.821 	imes 10$$^{16}$$) = 1.21 	imes 10$$^{-17}$$ \ \mathrm{J}$$

Question 3

An electron in a hydrogen atom transitions from $$n=2 to$$ $$n=5. $$What is the energy change associated with this transition?

Accepted Answer

$$\Delta E = (2.18 	imes 10$$^{-18}$$ \ \mathrm{J}) \left( \frac{1}{5^2$} - \frac{1}{2^2$} ight) = 4.6 	imes 10$$^{-19}$$ \ \mathrm{J}$$

Question 4

Calculate the de Broglie wavelength of a $$2.0\ \mathrm{kg}$$ object moving at $$50\ \mathrm{m/s}. $$Use $$h = 6.626 	imes 10$$^{-34}$$ \ \mathrm{J \cdot s}.$$

Accepted Answer

$$\lambda = \frac{h}{mv} = \frac{6.626 	imes 10$$^{-34}$$}{2.0 	imes 50} = 6.6 	imes 10$$^{-36}$$ \ \mathrm{m}$$

Question 5

Which quantum number determines the shape of an orbital?

Accepted Answer

Angular momentum quantum number ($$l)$$

Question 6

What is the principal quantum number of the first $$d$$ subshell?

Accepted Answer

$$n = 3$$

Question 7

Which of the following is an acceptable set of quantum numbers for an electron in an atom? (n, l, m, s)

Accepted Answer

3, 2, -2, -\frac{1}{2}

Question 8

How many unpaired electrons are present in a ground state chlorine atom?

Accepted Answer

1

Question 9

What is the condensed electron configuration of argon (element 18)?

Accepted Answer

[Ne]$$3s^2$$ $$3p^6$$

Question 10

Which of the following best describes the photoelectric effect?

Accepted Answer

The ejection of electrons by a metal when struck with light of sufficient energy

Question 11

An FM radio station broadcasts at a frequency of $$98.2\ \mathrm{MHz}. $$What is the wavelength of this radiation in meters? ($$c = 3.00 	imes 10^8$\ \mathrm{m/s})$$

Accepted Answer

$$\lambda = \frac{c}{
u} = \frac{3.00 	imes 10^8$}{98.2 	imes 10^6$} = 3.055\ \mathrm{m}$$

Question 12

Which of the following orbitals can hold two electrons?

Accepted Answer

All of the above (2p_x, 4d_{xy}, 3s)

Question 13

When an electron in a hydrogen atom moves from $$n=4 to$$ $$n=2$$, what is the wavelength (in nm) of the emitted light?

Accepted Answer

486 nm

Question 14

Which quantum number describes the orientation of an orbital in space?

Accepted Answer

Magnetic quantum number ($$m)$$

Question 15

A sodium street lamp emits yellow light at a wavelength of $$589\ \mathrm{nm}. $$What is the frequency of this light? ($$c = 3.00 	imes 10^8$\ \mathrm{m/s})$$

Accepted Answer

$$
u = \frac{c}{\lambda} = \frac{3.00 	imes 10^8$}{589 	imes 10$$^{-9}$$} = 5.09 	imes 10$$^{14}$$\ \mathrm{Hz}$$

Question 16

Which rule states that electrons fill degenerate orbitals singly before pairing?

Accepted Answer

Hund's rule

Question 17

Which of the following best describes the uncertainty principle?

Accepted Answer

The more precisely the momentum of a particle is known, the less precisely its position is known.

Question 18

Which element has the condensed electron configuration $$[Xe] 4f$$^{14}$$ 5d$$^{10}$$ 6s^2$ 6p^3$?

Accepted Answer

Bismuth

Question 19

A transition metal is best characterized by which of the following electron configurations?

Accepted Answer

A partially filled $$d$$ subshell in the penultimate shell

Quantum Mechanics, Atomic Structure, and Electron Configuration: Study Notes

스터디 가이드 - 연습 문제

학습 가이드 - 플래시카드