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Mass Ratios & Law of Multiple Proportions Miss Fogg Fall 2015
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Mass Ratios & Law of Multiple Proportions Miss Fogg Fall 2015.

Jan 13, 2016

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Page 1: Mass Ratios & Law of Multiple Proportions Miss Fogg Fall 2015.

Mass Ratios & Law of Multiple ProportionsMiss FoggFall 2015

Page 2: Mass Ratios & Law of Multiple Proportions Miss Fogg Fall 2015.

Mass RatiosAtomic mass = mass of an atom

measured in amu (atomic mass units)

Mass of oxygen = 15.999 16.00amu

Mass of hydrogen = 1.008 1.01amu

Page 3: Mass Ratios & Law of Multiple Proportions Miss Fogg Fall 2015.

Mass ratiosMass of element X : Mass of

element Y

How to calculate mass ratios:◦1) Find the mass of each element◦2) Divide each elemental mass by

the smallest element mass◦3) Express as ratio and round

Page 4: Mass Ratios & Law of Multiple Proportions Miss Fogg Fall 2015.

Example: H2O

Find the ratio of oxygen to hydrogen in H2O◦1) Find the mass of each element

O: 16.00amu x 1 atom = 16.00amuH: 1.01amu x 2 atom = 2.02amu

Page 5: Mass Ratios & Law of Multiple Proportions Miss Fogg Fall 2015.

Find the ratio O : H◦2) Divide each elemental mass by the

smallest element mass

O: 16.00amu ÷ 2.02 = 8.0H: 2.02amu ÷ 2.02 = 1.0

Example: H2O

Page 6: Mass Ratios & Law of Multiple Proportions Miss Fogg Fall 2015.

Find the ratio O : H◦3) Express as ratio and round

O: 8.0 8H: 1.0 1

(Law of definite proportions) In H2O, oxygen and hydrogen always have a ratio of “16 to 2” or “8 to 1” by mass

8:1

Example: H2O

Page 7: Mass Ratios & Law of Multiple Proportions Miss Fogg Fall 2015.

Example: KClKCl always contains one atom of K

for every one atom of ClFind the ratio K : Cl

◦1) Find the mass of each element

K: 39.10amu x 1 atom = 39.10amuCl: 35.45amu x 1 atom = 35.45amu

Page 8: Mass Ratios & Law of Multiple Proportions Miss Fogg Fall 2015.

Example: KClFind the ratio K : Cl

◦2) Divide each elemental mass by the smallest element mass

K: 39.10amu ÷ 35.45 = 1.103Cl: 35.45amu ÷ 35.45 = 1.000

Page 9: Mass Ratios & Law of Multiple Proportions Miss Fogg Fall 2015.

Example: KClFind the ratio K : Cl

◦3) Express as ratio and round

K: 1.103 1.1Cl: 1.000 1

(Law of definite proportions) In KCl, potassium and chlorine always have a ratio of “39.09 to 35.45” or “1.1 to 1” by mass.

1.1:1

Page 10: Mass Ratios & Law of Multiple Proportions Miss Fogg Fall 2015.

Law of Multiple ProportionsDalton’s Law (1804):When 2 elements form different

compounds, the mass ratio of the elements in one compound is related to the mass ratio in the other by a small whole number

Page 11: Mass Ratios & Law of Multiple Proportions Miss Fogg Fall 2015.

Nitrogen & OxygenYou have more than one

molecule made up of the same elements

N2O nitrous oxide

NO nitric oxide

NO2 nitrogen dioxideOO

O

ON

N

N

N

Page 12: Mass Ratios & Law of Multiple Proportions Miss Fogg Fall 2015.

Nitrogen & OxygenN2O nitrous oxide

Mass nitrogen: 14.01amu x 2 = 28.02amu

Mass oxygen:16.00amu x1 = 16.00amu

ONN

Page 13: Mass Ratios & Law of Multiple Proportions Miss Fogg Fall 2015.

Nitrogen & OxygenN2O nitrous oxide

Mass nitrogen: 28.02amuMass oxygen: 16.00amu

How many grams of N are used every 1g of O?

28.02amu nitrogen = ?16.00amu oxygen 1g oxygen

ONN

1.751g nitrogen

Page 14: Mass Ratios & Law of Multiple Proportions Miss Fogg Fall 2015.

Nitrogen & Oxygen

Mass of N for 1g ON2O nitrous oxide 1.75g

NO nitric oxide

NO2 nitrogen dioxide

OO

O

ON

N

N

N

Page 15: Mass Ratios & Law of Multiple Proportions Miss Fogg Fall 2015.

Nitrogen & OxygenNO nitric oxide

Mass nitrogen: 14.01amu x 1 = 14.01amu

Mass oxygen:16.00amu x1 = 16.00amu

ON

Page 16: Mass Ratios & Law of Multiple Proportions Miss Fogg Fall 2015.

Nitrogen & OxygenNO nitric oxideMass nitrogen: 14.01amuMass oxygen: 16.00amu

How many grams of N are used every 1g of O?

14.01amu nitrogen = ?16.00amu oxygen 1g oxygen

ON

0.8763g nitrogen

Page 17: Mass Ratios & Law of Multiple Proportions Miss Fogg Fall 2015.

Nitrogen & Oxygen

Mass of N for 1g ON2O nitrous oxide 1.75g

NO nitric oxide 0.876g

NO2 nitrogen dioxide

OO

O

ON

N

N

N

Page 18: Mass Ratios & Law of Multiple Proportions Miss Fogg Fall 2015.

Nitrogen & OxygenNO2 nitrogen dioxide

Mass nitrogen: 14.01amu x 1 = 14.01amu

Mass oxygen:16.00amu x 2 = 32.00amu

ONO

Page 19: Mass Ratios & Law of Multiple Proportions Miss Fogg Fall 2015.

Nitrogen & OxygenNO2 nitrogen dioxide

Mass nitrogen: 14.01amuMass oxygen: 32.00amu

How many grams of N are used every 1g of O?

14.01amu nitrogen = ?32.00amu oxygen 1g oxygen

ON

0.4378g nitrogen

O

Page 20: Mass Ratios & Law of Multiple Proportions Miss Fogg Fall 2015.

Nitrogen & Oxygen

Mass of N for 1g ON2O nitrous oxide 1.75g

NO nitric oxide 0.876g

NO2 nitrogen dioxide 0.438g

OO

O

ON

N

N

N

How are all these numbers

related?

Page 21: Mass Ratios & Law of Multiple Proportions Miss Fogg Fall 2015.

Nitrogen & Oxygen

Mass of N for 1g ON2O nitrous oxide 1.75g

NO nitric oxide 0.876g

NO2 nitrogen dioxide 0.438g

OO

O

ON

N

N

N

How are all these numbers

related?

Law of multiple proportions! 1.75 ÷ 0.876 = 1.998 = 20.876 ÷ 0.438 = 21.75 ÷ 0.438 = 3.995 = 4

Page 22: Mass Ratios & Law of Multiple Proportions Miss Fogg Fall 2015.

Ch3 Homework - Due tomorrow (10/7):

Assessment ProblemsPage 76: 20-24; 30Page 83: Problems 60-69; 74-75