Key equations and relationships

Question 1

Relationship between Mass Number (A), Number of Protons (p), and Number of Neutrons (n)

Answer 1

A = number of protons (p) + number of neutrons (n)

Question 2

Atomic Mass

Answer 2

Atomic mass = Σ_n(fraction of isotope n) x (mass of isotope n)

Question 3

Relationship between Density (d), Mass (m), and Volume (V)

Answer 3

d = m/V

Question 4

Avogadro’s Number

Answer 4

1 mol = 6.0221421 x 10²³ particles

Question 5

The First-Order Rate Law

Answer 5

Rate = kN

Question 6

The Half-Life Equation

Answer 6

k = rate constant

t_1/2=0.693/k

Question 7

The Integrated Rate Law

Answer 7

N_t= number of radioactive nuclei at time t

N₀ = initial number of radioactive nuclei

ln (N_t/N₀) = -kt

Question 8

Einstein’s Enegery-Mass Equation

Answer 8

E = mc²

Question 10

milli

Answer 10

10^-3

Question 11

centi

Answer 11

10^-2

Question 12

deci

Answer 12

10^-1

Question 13

micro

Answer 13

10^-6

Question 14

nano

Answer 14

10^-9

Question 15

pico

Answer 15

10^-12

Question 16

femto

Answer 16

10^-15

Question 17

atto

Answer 17

10^-18

Question 18

kilo

Answer 18

10³

Question 19

mega

Answer 19

10⁶

Question 20

giga

Answer 20

10⁹

Question 21

tera

Answer 21

10¹²

Question 22

peta

Answer 22

10¹⁵

Question 23

exa

Answer 23

10¹⁸

Question 24

Temperature equation

Answer 24

K = ºC + 273.15

ºC = (ºF -32)/1.8

ºF = 1.8(ºC) + 32

0K = -273.15 ºC = -459.67 ºF