Counting Atoms - Madison Public Schools

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Atoms: The building blocks of

Matter

Counting Atoms

Atomic Number

• The number of protons in the nucleus of each atom

• Identifies element

• Periodic table – elements are arranged in order of increasing atomic #

Isotopes

• Atoms of the same element, with different numbers of neutrons

• Only the masses are different.

• Mass # = # protons plus the # neutrons

Designating Isotopes

• Hyphen notation/Nuclear symbol

12

C

6

Carbon-12

13

C

6

Carbon-13

Sample Problems

1. How many protons, electrons, and neutrons are in an atom of Chlorine-37?

2. Write the nuclear symbol for oxygen-16.

3. Write the hyphen notation for the element whose atoms contain 7 electrons and 9 neutrons.

Atomic Mass

One Oxygen-16 atom = 2.657 x 10 -23 g

• Masses of atoms are measured in atomic mass units (amu)

By definition: 1 Carbon-12 atom = 12 amu so…. 1 amu = 1 /

12 mass of a Carbon-12 atom

Atomic Mass

Some examples:

Oxygen-16:

1 proton:

1 neutron:

1 electron:

15.994915 amu

1.007276 amu

1.008665 amu

0.00054896 amu

How can carbon-12 have a mass of 12 amu?

Average Atomic Mass

• Atomic mass of carbon: 12.0111 amu (on p.t.)

• The atomic masses on the periodic table are weighted averages of the isotopes of each element.

Isotope

Carbon-12

Percent abundance

98.90 %

Atomic mass

(amu)

12

Carbon 13 1.10 % 13.003355

( 0 .

9890

12 amu )

( 0 .

0110

13 .

003355 amu )

12 .

0111 amu

Isotope

Oxygen 16

Oxygen-17

Oxygen-18

Copper-63

Copper-65

Uranium-234

Uranium-235

Uranium-238

Percent

Abundance

Atomic Mass

(amu)

99.762

0.038

0.200

69.17

30.83

15.994915

16.999131

17.999160

62.929599

64.927793

0.005

0.720

99.275

234.040947

235.043924

238.050784

The Mole

Mole – SI unit for amount

By definition…

One mole equals the number of atoms in exactly 12 grams of Carbon-12

Avogadro’s Number: 6.02 x 10 23

Molar Mass

Molar Mass – the mass of one mole of a pure substance

• The molar mass of an element is numerically equal to the atomic mass.

1 atom Hydrogen:

1 mole Hydrogen:

1.00794 amu

1.00794 g

Sample Problems:

1. What is the mass in grams of 3.6 mol of the element Carbon?

2. What is the mass in grams of 0.733 mol of the element Chlorine?

3. How many moles of copper are in 3.22 g of copper?

4. How many moles of lithium are in 2.72 x 10 -4 g of lithium?

Mole Conversions

1. How many moles of carbon are in 2.25x10

22 atoms of carbon?

2. How many moles of oxygen are in 2,000,000 atoms of oxygen?

3. How many atoms of sodium are in 3.80 mol of sodium?

4. What is the mass in grams of 5.0 x 10 9 atoms of neon?

5. How many atoms of carbon are in 0.020 g of carbon?

6. What mass of silver contains the same number of atoms as 10.0g of boron?

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