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To compare isotopes

Science - Atomic Structures

Mr Inder

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Key principles

The I do phase involves the explanation - indicates where a teacher would be explaining and modelling a concept.

Moving from I do to We do involves guided practice - moving from teacher-led instruction to student-led practice.

Check for Understanding - Formative instruction questions, posed to check whether students have understood and to inform next instructional steps.

You do - Practice - indicates places where students will attempt questions independently.

At the expected level for the lesson; all students should be able to do these questions.

A small increase in difficulty from the expected level, eg larger numbers or a more complex calculation.

Extension - increased difficulty; suitable for a small number of students.

2

I

CfU

W

Y

Support - support materials, such as additional templates or questions with fewer steps.

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Engagement icons - to go in top right corner

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Whiteboard response

All students respond to the teacher’s question, showing their responses at the same time.

Non-volunteers

The teacher asks a question, gives wait time, then calls on individual students to respond.

Written response

Students respond to a prompt in a template, their exercise book or booklet.

Pair share

Students discuss with the person next to them.

Choral response

Students respond orally all together.

Thumbs up, thumbs down

Students indicate whether they agree or disagree with a statement, or whether something is an example or non-example.

Concrete materials

Teacher might choose to illustrate this teaching point using concrete materials.

Class discussion or activity

Students discuss as a class and share ideas

Calculator

Students will need a calculator to perform the task on this slide.

Spreadsheet

Students will need access to spreadsheet software to perform the task on this slide.

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In this lesson, you will need:

Exercise book or paper

Pen

Image credit: Pixabay

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In this lesson, you will need:

Calculator

Image credit: Pixabay

Periodic Table

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Starter Quiz

Isotopes

RAM Calculations

Worksheet

Exit Quiz

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In this lesson we will:

  • Define the term “isotope”
  • Compare isotopes from information given
  • Define Relative Atomic Mass (RAM)
  • Calculate RAM of isotopes given their abundance
  • Calculate RAM to a specific number of significant figures or decimal places

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Keywords

Isotope: Variations of the same element, which differ based on mass

Atomic Mass: The mass of any particular atom

Relative Atomic Mass: The average mass of a sample of atoms

Abundance: The quantity of something present in a sample

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Isotopes

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What you have learned so far about atoms

Atoms contain protons (+), neutrons (0) and electrons (-).

  • Atoms have a fixed number of protons based on their atomic number �(i.e. which element they are)
  • Neutral atoms have equal numbers of protons and electrons.
  • Atoms contain neutrons, but we haven’t specified their number. As they are neutral particles, their amount doesn’t impact the overall charge of an atom.

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The reality about neutrons

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1-Hydrogen�(Protium)

2-Hydrogen�(Deuterium)

3-Hydrogen�(Tritium)

+

0

+

0

0

+

Isotopes

*Not to scale!

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Drawing and labelling isotopes

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Carbon-12

Carbon-13

Carbon-14

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Draw and provide the atomic number and mass number for these isotopes:

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Oxygen-16

Oxygen-17

Oxygen-18

8 protons

8 protons

8 protons

8 neutrons

9 neutrons

10 neutrons

Y

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Relative Atomic Mass

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  • We don’t find isotopes existing separately from each other - they are all mixed up.
  • This makes determining the mass of a substance tricky!
  • To give a best estimate, we use the Relative Atomic Mass (RAM), which is the average mass of a common sample of isotopes within the element.
  • We briefly looked at this in Lesson 3 of this unit.

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Relative Atomic Mass & Abundance

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1-Hydrogen�(Protium)

2-Hydrogen�(Deuterium)

3-Hydrogen�(Tritium)

+

0

+

0

0

+

Relative Abundance = 99.98%

Relative Abundance = 0.02%

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Relative Atomic Mass & Abundance

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1-Hydrogen�(Protium)

2-Hydrogen�(Deuterium)

3-Hydrogen�(Tritium)

99.98%

0.12%

0.00%

99.98/100 x 1 = 0.9998

0.12/100 x 2 = 0.0024

0/100 x 3 = 0.0000

0.9998 + 0.0024 + 0.0000 = 1.0022 uamu

unified atomic mass unit

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Your turn:�Boron has two isotopes, which occur in natural relative abundances as per the information below. Calculate the relative atomic mass of boron.

Y

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Your turn:�Boron has two isotopes, which occur in natural relative abundances as per the information below. Calculate the relative atomic mass of boron.

Boron-10: 19.9%

Boron-11: 80.1%

19.9/100 x 10 = 1.99

80.1/100 x 11 = 8.811

1.99 + 8.811 = 10.801 uamu

Y

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Decimal Places

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Our last example:

Boron-10: 19.9%

Boron-11: 80.1%

19.9/100 x 10 = 1.99

80.1/100 x 11 = 8.811

1.99 + 8.811 = 10.801 uamu

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1 d.p.

3 d.p.

Round to two decimal places?

Find the number and look next door

Five or above, add one more

Numbers in front stay the same

Numbers behind, zeroes remain

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Our last example:

Boron-10: 19.9%

Boron-11: 80.1%

19.9/100 x 10 = 1.99

80.1/100 x 11 = 8.811

1.99 + 8.811 = 10.80 uamu

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1 d.p.

2 d.p.

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Your turn:�A sample of magnesium was tested and shown to contain the following isotopes in abundance listed below. Calculate the relative atomic mass of magnesium in the sample and round to two decimal places.

Magnesium-24: 78.20%

Magnesium-25: 10.11%

Magnesium-26: 11.69%

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Y

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Your turn:�A sample of magnesium was tested and shown to contain the following isotopes in abundance listed below. Calculate the relative atomic mass of magnesium in the sample and round to two decimal places.

Magnesium-24: 78.20%

Magnesium-25: 10.11%

Magnesium-26: 11.69%

78.20/100 x 24 = 18.768

10.11/100 x 25 = 2.5275

18.768 + 2.5275 + 3.0394 �= 24.3349 uamu

11.69/100 x 26 = 3.0394

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Y

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Your turn:�A sample of magnesium was tested and shown to contain the following isotopes in abundance listed below. Calculate the relative atomic mass of magnesium in the sample and round to two decimal places.

Magnesium-24: 78.20%

Magnesium-25: 10.11%

Magnesium-26: 11.69%

78.20/100 x 24 = 18.768

10.11/100 x 25 = 2.5275

18.768 + 2.5275 + 3.0394 �= 24.33 uamu (2 d.p)

11.69/100 x 26 = 3.0394

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Y

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Significant Figures

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Example:�How many significant figures in each number?

2.183

4.21

9.3713

20.14

0.00082

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4 sig figs

3 sig figs

5 sig figs

4 sig figs

2 sig figs

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Your turn:�How many significant figures in each number?

3.25

16.6894

4.032

0.0043

0.09082

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3 sig figs

6 sig figs

4 sig figs

2 sig figs

4 sig figs

Y

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Our previous example:

Significant figures: �All numbers following the first non-zero digit.

Magnesium-24: 78.20%

Magnesium-25: 10.11%

Magnesium-26: 11.69%

78.20/100 x 24 = 18.768

10.11/100 x 25 = 2.5275

18.768 + 2.5275 + 3.0394 �= 24.3349 uamu

11.69/100 x 26 = 3.0394

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4 sig figs

5 sig figs

5 sig figs

5 sig figs

6 sig figs

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Our previous example:

Magnesium-24: 78.20%

Magnesium-25: 10.11%

Magnesium-26: 11.69%

78.20/100 x 24 = 18.768

10.11/100 x 25 = 2.5275

18.768 + 2.5275 + 3.0394 �= 24.33 uamu

11.69/100 x 26 = 3.0394

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4 sig figs

5 sig figs

5 sig figs

5 sig figs

4 sig figs

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Your turn:�A sample of lithium contains two isotopes - Lithium-6 (6.85% abundance) and Lithium-7 (93.15% abundance).�Calculate the relative atomic mass of lithium in the sample to the appropriate number of significant figures.

Lithium-6: 6.85%

Lithium-7: 93.15%

6.85/100 x 6 = 0.411

93.15/100 x 7 = 6.5205

0.411 + 6.5205�= 6.9315 uamu

3 sig figs

4 sig figs

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Y

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Your turn:�A sample of lithium contains two isotopes - Lithium-6 (6.85% abundance) and Lithium-7 (93.15% abundance).�Calculate the relative atomic mass of lithium in the sample to the appropriate number of significant figures.

Lithium-6: 6.85%

Lithium-7: 93.15%

6.85/100 x 6 = 0.411

93.15/100 x 7 = 6.5205

0.411 + 6.5205�= 6.93 uamu

3 sig figs

4 sig figs

3 sig figs

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Y

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To compare isotopes

Complete the questions in the worksheet.

Y

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Answers

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  1. Draw (nucleus only) and name (e.g. carbon-12) the following isotopes:

a)

b)

c)

Nitrogen-14

Boron-10

Beryllium-7

Drawing must contain 5 protons and 9 neutrons

Drawing must contain 4 protons and 6 neutrons

Drawing must contain 3 protons and 4 neutrons

e.g.

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  • A sample of bromine contains 50.7% bromine-79 and 49.3% bromine-80. Calculate the relative atomic mass of the sample to one decimal place.

79 x 50.7/100 = 40.053

80 x 49.3/100 = 39.44

40.053 + 39.44 = 79.493

= 79.5 uamu (1 d.p.)

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  • A sample of carbon contains 98% carbon-12, 1.5% carbon-13 and 0.50% percent carbon-14. Calculate the relative atomic mass to the correct number of significant figures.

12 x 98/100 = 11.76

13 x 1.5/100 = 0.195

14 x 0.50/100 = 0.07

11.76 + 0.197 + 0.07 = 12.027

All original values: 2 sig figs

=12 (2 sig figs)

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In this lesson we will:

  • Define the term, “isotope”
  • Compare isotopes from information given
  • Define Relative Atomic Mass (RAM)
  • Calculate RAM of isotopes given their abundance
  • Calculate RAM to a specific number of significant figures or decimal places

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