In chemistry, it is often useful to be able to convert from one unit of measure to another

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# In chemistry, it is often useful to be able to convert from one unit of measure to another - PowerPoint PPT Presentation

In chemistry, it is often useful to be able to convert from one unit of measure to another. For example: mass of a substance converted to the number of atoms in that substance, or converting from one metric unit to another metric unit. First we will see how it works with dozen.

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Presentation Transcript

In chemistry, it is often useful

to be able to convert from one

unit of measure to another

For example:

mass of a substance converted to the

number of atoms in that substance,

or converting from one metric unit

to another metric unit

You know that a dozen is 12 of something.

If you have 36 donuts,

how many dozen donuts do you have?

Use this relationship to convert from

individual donuts to dozen donuts:

You want to know how many dozen in 36 donuts,

and you know there is 1 dozen per 12 donuts, or

1 dozen

12 donuts

1 dozen

12 donuts

36 donuts x

In the problem how many dozen in 36 donuts,

you know there is 1 dozen per 12 donuts, or

1 dozen

Use this relationship to convert from

individual donuts to dozen donuts:

12 donuts

In the problem how many dozen in 36 donuts,

you know there is 1 dozen per 12 donuts, or

1 dozen

Use this relationship to convert from

individual donuts to dozen donuts:

12 donuts

1 dozen

12 donuts

36 donuts x 1 dozen

12 donuts

36 donuts x =

36 dozen

12

=

In the problem how many dozen in 36 donuts,

you know there is 1 dozen per 12 donuts, or

1 dozen

Use this relationship to convert from

individual donuts to dozen donuts:

12 donuts

1 dozen

12 donuts

36 donuts x 1 dozen

12 donuts

36 donuts x =

36 dozen

12

=

3 dozen

=

In the problem how many dozen in 36 donuts,

you know there is 1 dozen per 12 donuts, or

1 dozen

Use this relationship to convert from

individual donuts to dozen donuts:

12 donuts

1 dozen

12 donuts

36 donuts x 1 dozen

12 donuts

36 donuts x =

36 dozen

12

=

3 dozen

=

In the problem how many dozen in 36 donuts,

you know there is 1 dozen per 12 donuts, or

1 dozen

Use this relationship to convert from

individual donuts to dozen donuts:

12 donuts

1 dozen

12 donuts

36 donuts x 1 dozen

12 donuts

36 donuts x =

3 dozen

=

36 donuts

there are 12 donuts

in 1 dozen

12 donuts

2.5 dozen x

1 dozen

If you have 2.5 dozen donuts, how many individual

donuts are there?

2.5 dozen x 12 donuts

1 dozen

2.5 x 12 donuts

=

1

30 donuts

=

If you have 2.5 dozen donuts, how many individual

donuts are there?

12 donuts

2.5 dozen x =

1 dozen

notice the two conversion factors

are reciprocals of each other

Here are the two problems side by side:

2

= 1

= 1

12 donuts

1 dozen

1 dozen

12 donuts

12 donuts = 1 dozen

converts

donuts to dozen

12 donuts

1 dozen

1 dozen

12 donuts

12 donuts = 1 dozen

= 1

= 1

converts

dozen to donuts

12 donuts

1 dozen

1 dozen

12 donuts

12 donuts = 1 dozen

= 1

= 1

Since conversion factors always equal 1,

you can multiply them by anything you

want and still end up with the same thing

except that it will be in a different form

If you have 9900 grams of donuts,

how many donuts do you have

if each donut has a mass of 150 grams?

If you have 9900 grams of donuts,

how many donuts do you have

if each donut has a mass of 150 grams?

What’s the conversion?

If you have 9900 grams of donuts,

how many donuts do you have

if each donut has a mass of 150 grams?

1. what is the qestion asking you to convert?

If you have 9900 grams of donuts,

how many donuts do you have

if each donut has a mass of 150 grams?

1. what is the qestion asking you to convert?

grams to donuts

If you have 9900 grams of donuts,

how many donuts do you have

if each donut has a mass of 150 grams?

2. what is the relationship between grams and donuts?

If you have 9900 grams of donuts,

how many donuts do you have

if each donut has a mass of 150 grams?

2. what is the relationship between grams and donuts?

150 grams = 1 donut

150 g

1 donut

= 1

1 donut

150 g

= 1

150 g = 1 donut

so…

and

150 g

1 donut

= 1

1 donut

150 g

= 1

150 g = 1 donut

these are your

conversion factors

150 g

1 donut

= 1

1 donut

150 g

= 1

150 g = 1 donut

converts donuts to

grams (grams on top)

150 g

1 donut

= 1

1 donut

150 g

= 1

150 g = 1 donut

converts grams to

donuts (donuts on top)

The question is…

If you have 9900 grams of donuts,

how many donuts do you have

if each donut has a mass of 150 grams?

begin with the amount

given in the problem

The question is…

9900 grams

If you have 9900 grams of donuts,

how many donuts do you have

if each donut has a mass of 150 grams?

The question is…

If you have 9900 grams of donuts,

how many donuts do you have

if each donut has a mass of 150 grams?

The question is…

If you have 9900 grams of donuts,

how many donuts do you have

if each donut has a mass of 150 grams?

each donut has a mass of 150 grams

converts grams

to donuts

The question is…

If you have 9900 grams of donuts,

how many donuts do you have

if each donut has a mass of 150 grams?

each donut has a mass of 150 grams

The question is…

If you have 9900 grams of donuts,

how many donuts do you have

if each donut has a mass of 150 grams?

The question is…

If you have 9900 grams of donuts,

how many donuts do you have

if each donut has a mass of 150 grams?

how many donuts do you have