Q: A hospital uses a laser emitting light at 532 nm for eye surgery. How many photons are required to deliver 1.00 J of energy? (Use $$h = 6.626 \times 10$$^{-34}$$ J·s, c = 3.00$$ \times $$10^8 m/s)$$

$$2.68 \times 10$$^{18}$$ photons

Question 1

Calculate the wavelength (in nm) of the red light emitted by a neon sign with a frequency of $$4.83 	imes 10$$^{14}$$ Hz. (Use c = 3.00$$ 	imes $$10^8 m/s)$$

Accepted Answer

$$6.21 	imes 10^2$ nm

Question 2

Electromagnetic radiation with a wavelength of 575 nm appears as yellow light to the human eye. Calculate the energy of one photon of this light. (Use $$h = 6.626 	imes 10$$^{-34}$$ J·s, c = 3.00$$ 	imes $$10^8 m/s)$$

Accepted Answer

$$3.46 	imes 10$$^{-19}$$ J

Question 3

How much energy (in kJ) do 3.0 moles of photons, all with a wavelength of 655 nm, contain? (Use $$h = 6.626 	imes 10$$^{-34}$$ J·s, c = 3.00$$ 	imes $$10^8 m/s$$, $$N_A = 6.022 	imes 10$$^{23}$$ mol$$^{-1}$$)

Accepted Answer

$$548 kJ$$

Question 4

The de Broglie wavelength of an electron with a velocity of $$2.70 	imes 10^6$ m/s is _______ m. (The mass of the electron is 9.11$$ 	imes $$10^{-31} kg$$, $$h = 6.626 	imes 10$$^{-34}$$ J·s)

Accepted Answer

$$2.68 	imes 10$$^{-10}$$ m

Question 5

Which of the following transitions (in a hydrogen atom) represents absorption of the smallest frequency photon?

Accepted Answer

$$n = 4 \rightarrow n = 5$$

Question 6

What are the possible values of $$l$$ and $$m_l$$ for an electron in a 4d orbital?

Accepted Answer

$$l = 2$$, $$m_l = -2, -1, 0, +1, +2$$

Question 7

How many orbitals are contained in the third principal level ($$n = 3) of a $$given atom?

Accepted Answer

9

Question 8

Give all possible values of $$l if$$ $$n = 4.$$

Accepted Answer

$$l = 0, 1, 2, 3$$

Question 9

Give the value(s) of $$l$$ for a 2p orbital.

Accepted Answer

$$l = 1$$

Question 10

Which of the following sets of quantum numbers is NOT allowed for an electron in an atom?

Accepted Answer

$$n = 2$$, $$l = 2$$, $$m_l = +1$$

Question 11

Identify the correct values for a 5s orbital.

Accepted Answer

$$n = 5$$, $$l = 0$$, $$m_l = 0$$

Question 12

Identify the correct values for a 3p orbital.

Accepted Answer

$$n = 3$$, $$l = 1$$, $$m_l = 0$$

Question 13

In which orbital below would an electron (on average) be closest to the nucleus?

Accepted Answer

1s

Question 14

In which orbital below would an electron (on average) be farthest from the nucleus?

Accepted Answer

4d

Question 15

How many orbitals are there in the fourth shell?

Accepted Answer

16

Question 16

A hospital uses a laser emitting light at 532 nm for eye surgery. How many photons are required to deliver 1.00 J of energy? (Use $$h = 6.626 	imes 10$$^{-34}$$ J·s, c = 3.00$$ 	imes $$10^8 m/s)$$

Accepted Answer

$$2.68 	imes 10$$^{18}$$ photons

Question 17

Which of the following sets of quantum numbers is NOT allowed for an electron in an atom?

Accepted Answer

$$n = 3$$, $$l = 3$$, $$m_l = +1$$

Quantum Mechanics, Atomic Structure, and Electromagnetic Radiation: General Chemistry Study Notes

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