Important Formulas

Question 1

Volume of a cube

Answer 1

V = l³

Question 2

Volume of a box

Answer 2

V = l•w•h

Question 3

Volume of a sphere

Answer 3

V = 4/3πr³

Question 4

Volume of a cylinder

Answer 4

V = πr²h

Question 5

Relationship between Frequency (ν), Wavelength (λ), and the Speed of Light (c)

Answer 5

ν = c / λ

Question 6

Relationship between Energy (E), Frequency (ν), Wavelength (λ), and Planck’s Constant (h)

Answer 6

E = hν

E = hc / λ

Question 7

Relationship between Wavelength (λ), Mass (m), and Velocity (ν) of a Particle

Answer 7

λ = h / mν

Question 8

Energy of an Electron in an Orbital with Quantum Number n in a hydrogen Atom

Answer 8

En = -2.18 X 10^-18 J (1/n²)

(n = 1, 2, 3, . . .)

Question 9

Change in Energy That Occurs in an Atom When It Undergoes a Transition between Levels n_initial and n_finial

Answer 9

ΔE = -2.18 X 10^-18 J (1/n²_f - 1/n²_i)

Question 10

Avogadro’s Number

Answer 10

6.022 x 10²³

Question 11

Electron Charge

Answer 11

1.6022 x 10-¹⁹ C

Question 12

Electron Mass

Answer 12

9.1095 x 10^-28 g

Question 13

Faraday Constant (F)

Answer 13

96,487 C/mol electron

Question 14

Gas Constant (R)

Answer 14

8.314 J/K • mol (0.08206 L • atm/k • mol)

Question 15

Planck’s Constant

Answer 15

6.626 x 10^-34 J•s

Question 16

Proton Mass

Answer 16

1.67252 x 10^-24 g

Question 17

Neutron Mass

Answer 17

1.67495 x 10^-24 g

Question 18

Speed of Light in a Vacuum

Answer 18

3.00 x 10⁸ m/s

Question 19

Change in Energy

Answer 19

∆E = -Rhc [1/n²_f - 1/n²_i]

-Rhc = -2.179 x 10^-18 J/atom

or

= -1312 kJ/mol