Formula Mass, Lecture notes of Chemistry

Molar mass of an atom = mass(g) in one mole of atoms. Molar mass of carbon ... C9H8O4 molar mass = 9(12.011) + 8(1.008) + 4(15.999) = 180.159 g/mol C9H8O4.

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Atomic Mass and Formula Mass
Na: 22.990 amu
Cl: 35.453 amu
NaCl: 58.443 amu
Ca: 40.078 amu
Cl: 35.453 amu
CaCl2: 110.9 84 amu
Cl: 35.453 amu
Formula Mass
Average mass of a compound
also called molecular mass or molecular weight
Sum of the atomic masses of all atoms
CO2
Formula mass = (1 x 12.011 amu)
Na2O Formula mass = (2 x 22.990 amu)
= 44.009 amu
+ (2 x 15.999 amu)
= 61.979 amu
+ (1 x 15.999 amu)
Formula Mass
C6H12O6
Formula mass =
Ca(NO3)2
Formula mass =
(6 x 12.011 amu) + (12 x 1.008 amu) + (6 x 15.999 amu)
= 180.156 amu
= 164.086 amu
+ (2 x 14.007 amu)
(1 x 40.078 amu) + (6 x 15.999 amu)
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Atomic Mass and Formula Mass

Na: 22.990 amu

Cl: 35.453 amu

NaCl: 58.443 amu

Ca: 40.078 amu

Cl: 35.453 amu

CaCl

2

: 110.984 amu

Cl: 35.453 amu

Formula Mass

Average mass of a compound

also called molecular mass or molecular weight

Sum of the atomic masses of all atoms

CO

2

Formula mass = (1 x 12.011 amu)

Na

2

O

Formula mass = (2 x 22.990 amu)

= 44.009 amu

  • (2 x 15.999 amu)

= 61.979 amu

  • (1 x 15.999 amu)

Formula Mass

C

6

H

12

O

6

Formula mass =

Ca(NO

3

2

Formula mass =

(6 x 12.011 amu) + (12 x 1.008 amu) + (6 x 15.999 amu)

= 180.156 amu

= 164.086 amu

(1 x 40.078 amu) + (2 x 14.007 amu)+ (6 x 15.999 amu)

Molar Mass

Molar mass of an atom = mass(g) in one mole of atoms

Molar mass of carbon = 12.011 g/mol

Molar mass of a compound = mass(g) in one mole of

molecules or formula units

CO

2

molar mass = 44.009 g/mol

(= 12.011 amu + 2 x 15.999 amu) = 44.009 amu)

Mole (mol) is the amount of material containing

6.022 x 10

23

particles

Mole

Avogadro’s number

molar

mass

moles

atoms

molar

mass

moles

molecules

atomic mass

formula mass

Example: What is the mass of 12.0 million benzene (C 6

H

6

) molecules?

Example: Consider 4.49 g Ca 3

(PO

4

2

Its formula weight (FW) = 3(40.078) + 2(30.974) + 8(15.999) = 310.174 g/mol

How many mol of Ca

3

(PO

4

2

is this?

How many mol of Ca

2+ ions does this contain?

How many Ca

2+

ions are there?

Example: Consider 4.49 g Ca 3

(PO

4

2

Its formula weight (FW) = 3(40.078) + 2(30.974) + 8(15.999) = 310.174 g/mol

How many mol of P does that amount of Ca 3

(PO

4

2

contain?

How many mol of O does that amount contain?

How many grams of O are in that amount of salt?

Example: Consider 4.49 g Ca 3

(PO

4

2

Its formula weight (FW) = 3(40.078) + 2(30.974) + 8(15.999) = 310.174 g/mol

How many phosphate ions does that amount of Ca

3

(PO

4

2

contain?

Composition of Compounds

The chemical formula and the molar masses of the

elements in the compound indicates the relative quantities

of each element in a compound

In 1 mole CO

2

there is 1 mole C and 2 moles O

Example:

Calculate mass% composition of Cl in CCl

2

F

2

Mass percent Cl =

2 x molar mass Cl

molar mass CCl 2

F 2

x 100

= 58.64%

Molar mass of CCl 2

F 2

= 12.011 g/mol + 2(35.453 g/mol) + 2(18.998 g/mol) = 120.913 g/mol

Mass percent Cl =

2 x 35.453 g/mol

120.913 g/mol

x 100

Determining Empirical Formula from Experimental

Data

% A + %B + %C = 100

For the compound A

x

B

y

C

z

Example:

An unknown compound contains the following (by mass):

Determine its empirical formula

C

x

H

y

O

z

Simplest whole

number ratios of

atoms in compound

40.92% C

4.58% H

54.50% O

100 g

40.92 g C

4.58 g H

54.50 g O

Example:

1. Calculate the number of moles of C, H, and O

40.92 g C x = 3.407 mol C

12.011 g C

1 mol C

4.58 g H x = 4.54 mol H

1.008 g H

1 mol H

54.50 g O x = 3.406 mol O

15.999 g O

1 mol O

2. Write out the formula with the number of moles of each element

C

H

O

100 g

40.92 g C

4.58 g H

54.50 g O

Example:

C

H

O

3. Divide all by the smallest number

C

H

O

3.406 3.

C

H

O

4. Multiply through to get all whole numbers

1.33 x 3 = 4

1.0 x 3 = 3

Empirical Formula

C

3

H

4

O

3

Example: Determine the empirical formula of a compound that is 36.4% Mn,

21.2% S, and 42.4% O by mass

Example:

Organic Compounds

Organic compounds are composed of carbon and

hydrogen and a few other elements including nitrogen,

oxygen, and sulfur

Carbon always form four bonds

CH

4

methane

Organic Compounds

Carbon can bond to itself to form chain, branched, and ring structures

Organic Compounds

Carbon can also form double bonds and triple bonds with itself and other elements

Hydrocarbons

Hydrocarbons contain only carbon and hydrogen

examples: oil, gasoline, propane gas, natural gas

alkanes

(single bonds)

alkenes

(double bonds)

alkynes

(triple bonds)

Functionalized Hydrocarbons

Hydrocarbons that contain functional groups

Alcohols are organic compounds that have an −OH functional group