Temperature and Slope in Excel

NSF Summer Institute 2007Jeff Rose

NSF Summer 2007 Jeff Rose04/20/23

The Fahrenheit ScaleDeveloped in 1724 by

Daniel Gabriel

Fahrenheit

+ = + = COLDCOLD

NSF Summer 2007 Jeff Rose04/20/23

Fahrenheit Thermometer212

194

176

158

140

122

104

86

68

50

32

The Fahrenheit ScaleDeveloped in 1724 by

Daniel Gabriel

Fahrenheit

Freezing Point of H2O

+ = + = COLDCOLD

NSF Summer 2007 Jeff Rose04/20/23

Fahrenheit Thermometer212

194

176

158

140

122

104

86

68

50

32

The Fahrenheit ScaleDeveloped in 1724 by

Daniel Gabriel

Fahrenheit

Freezing Point of H2O

+ = + = COLDCOLD

NSF Summer 2007 Jeff Rose04/20/23

Fahrenheit Thermometer212

194

176

158

140

122

104

86

68

50

32

The Fahrenheit ScaleDeveloped in 1724 by

Daniel Gabriel

Fahrenheit

Freezing Point of H2O

+ = + = COLDCOLD

NSF Summer 2007 Jeff Rose04/20/23

Fahrenheit Thermometer212

194

176

158

140

122

104

86

68

50

32

The Fahrenheit ScaleDeveloped in 1724 by

Daniel Gabriel

Fahrenheit

Freezing Point of H2O

+ = + = COLDCOLD

NSF Summer 2007 Jeff Rose04/20/23

Fahrenheit Thermometer212

194

176

158

140

122

104

86

68

50

32

The Fahrenheit ScaleDeveloped in 1724 by

Daniel Gabriel

Fahrenheit

Freezing Point of H2O

+ = + = COLDCOLD

NSF Summer 2007 Jeff Rose04/20/23

Fahrenheit Thermometer212

194

176

158

140

122

104

86

68

50

32

The Fahrenheit ScaleDeveloped in 1724 by

Daniel Gabriel

Fahrenheit

Freezing Point of H2O

+ = + = COLDCOLD

NSF Summer 2007 Jeff Rose04/20/23

Fahrenheit Thermometer212

194

176

158

140

122

104

86

68

50

32

The Fahrenheit ScaleDeveloped in 1724 by

Daniel Gabriel

Fahrenheit

Freezing Point of H2O

+ = + = COLDCOLD

NSF Summer 2007 Jeff Rose04/20/23

Fahrenheit Thermometer212

194

176

158

140

122

104

86

68

50

32

The Fahrenheit ScaleDeveloped in 1724 by

Daniel Gabriel

Fahrenheit

Freezing Point of H2O

+ = + = COLDCOLD

NSF Summer 2007 Jeff Rose04/20/23

Fahrenheit Thermometer212

194

176

158

140

122

104

86

68

50

32

The Fahrenheit ScaleDeveloped in 1724 by

Daniel Gabriel

Fahrenheit

Freezing Point of H2O

+ = + = COLDCOLD

NSF Summer 2007 Jeff Rose04/20/23

Fahrenheit Thermometer212

194

176

158

140

122

104

86

68

50

32

The Fahrenheit ScaleDeveloped in 1724 by

Daniel Gabriel

Fahrenheit

Freezing Point of H2O

+ = + = COLDCOLD

NSF Summer 2007 Jeff Rose04/20/23

Fahrenheit Thermometer212

194

176

158

140

122

104

86

68

50

32

Boiling Point of H2O

The Fahrenheit ScaleDeveloped in 1724 by

Daniel Gabriel

Fahrenheit

Freezing Point of H2O

+ = + = COLDCOLD

NSF Summer 2007 Jeff Rose04/20/23

The Celsius ScaleDeveloped in 1742 by

Anders Celsius

Celsius Thermometer100

90

80

70

60

50

40

30

20

10

0

NSF Summer 2007 Jeff Rose04/20/23

The Celsius ScaleDeveloped in 1742 by

Anders Celsius

Celsius Thermometer 100

90

80

70

60

50

40

30

20

10

0

NSF Summer 2007 Jeff Rose04/20/23

The Celsius ScaleDeveloped in 1742 by

Anders Celsius

Celsius Thermometer

100

90

80

70

60

50

40

30

20

10

0

NSF Summer 2007 Jeff Rose04/20/23

The Celsius ScaleDeveloped in 1742 by

Anders Celsius

Celsius T

hermometer

10090

8070

6050

4030

2010

0

NSF Summer 2007 Jeff Rose04/20/23

The Celsius ScaleDeveloped in 1742 by

Anders Celsius

Celsi

us T

herm

omet

er

100 90

80

70

60

50

40

30

20

10

0

NSF Summer 2007 Jeff Rose04/20/23

The Celsius ScaleDeveloped in 1742 by

Anders Celsius

Cels

ius

Ther

mom

eter

100 90 80 70 60 50 40 30 20 10 0

NSF Summer 2007 Jeff Rose04/20/23

The Celsius ScaleDeveloped in 1742 by

Anders Celsius

Celsi

us T

herm

omet

er10

0

90

80

70

60

50

40

30

20

10 0

NSF Summer 2007 Jeff Rose04/20/23

The Celsius ScaleDeveloped in 1742 by

Anders Celsius

Celsi

us Th

erm

omet

er

100

9080

7060

5040

3020

10

0

NSF Summer 2007 Jeff Rose04/20/23

The Celsius ScaleDeveloped in 1742 by

Anders Celsius

Celsius T

hermometer

100

90

80

70

60

50

40

30

20

10

0

NSF Summer 2007 Jeff Rose04/20/23

The Celsius ScaleDeveloped in 1742 by

Anders Celsius

Celsius Thermometer

100

90

80

70

60

50

40

30

20

10

0

NSF Summer 2007 Jeff Rose04/20/23

The Celsius ScaleDeveloped in 1742 by

Anders Celsius

Celsius Thermometer100

90

80

70

60

50

40

30

20

10

0

NSF Summer 2007 Jeff Rose04/20/23

Celsius Thermometer100

90

80

70

60

50

40

30

20

10

0

Freezing Point of H2O

The Celsius ScaleDeveloped in 1742 by

Anders Celsius

Celsius Thermometer100

90

80

70

60

50

40

30

20

10

0

NSF Summer 2007 Jeff Rose04/20/23

Celsius Thermometer100

90

80

70

60

50

40

30

20

10

0

The Celsius ScaleDeveloped in 1742 by

Anders Celsius

Celsius Thermometer100

90

80

70

60

50

40

30

20

10

0

Freezing Point of H2O

NSF Summer 2007 Jeff Rose04/20/23

Celsius Thermometer100

90

80

70

60

50

40

30

20

10

0

The Celsius ScaleDeveloped in 1742 by

Anders Celsius

Celsius Thermometer100

90

80

70

60

50

40

30

20

10

0

Freezing Point of H2O

NSF Summer 2007 Jeff Rose04/20/23

Celsius Thermometer100

90

80

70

60

50

40

30

20

10

0

The Celsius ScaleDeveloped in 1742 by

Anders Celsius

Celsius Thermometer100

90

80

70

60

50

40

30

20

10

0

Freezing Point of H2O

NSF Summer 2007 Jeff Rose04/20/23

Celsius Thermometer100

90

80

70

60

50

40

30

20

10

0

The Celsius ScaleDeveloped in 1742 by

Anders Celsius

Celsius Thermometer100

90

80

70

60

50

40

30

20

10

0

Freezing Point of H2O

NSF Summer 2007 Jeff Rose04/20/23

Celsius Thermometer100

90

80

70

60

50

40

30

20

10

0

The Celsius ScaleDeveloped in 1742 by

Anders Celsius

Celsius Thermometer100

90

80

70

60

50

40

30

20

10

0

Freezing Point of H2O

NSF Summer 2007 Jeff Rose04/20/23

Celsius Thermometer100

90

80

70

60

50

40

30

20

10

0

The Celsius ScaleDeveloped in 1742 by

Anders Celsius

Celsius Thermometer100

90

80

70

60

50

40

30

20

10

0

Freezing Point of H2O

NSF Summer 2007 Jeff Rose04/20/23

Celsius Thermometer100

90

80

70

60

50

40

30

20

10

0

The Celsius ScaleDeveloped in 1742 by

Anders Celsius

Celsius Thermometer100

90

80

70

60

50

40

30

20

10

0

Freezing Point of H2O

NSF Summer 2007 Jeff Rose04/20/23

Celsius Thermometer100

90

80

70

60

50

40

30

20

10

0

The Celsius ScaleDeveloped in 1742 by

Anders Celsius

Celsius Thermometer100

90

80

70

60

50

40

30

20

10

0

Freezing Point of H2O

NSF Summer 2007 Jeff Rose04/20/23

Celsius Thermometer100

90

80

70

60

50

40

30

20

10

0

The Celsius ScaleDeveloped in 1742 by

Anders Celsius

Celsius Thermometer100

90

80

70

60

50

40

30

20

10

0

Freezing Point of H2O

NSF Summer 2007 Jeff Rose04/20/23

Celsius Thermometer100

90

80

70

60

50

40

30

20

10

0

Boiling Point of H2O

The Celsius ScaleDeveloped in 1742 by

Anders Celsius

Celsius Thermometer100

90

80

70

60

50

40

30

20

10

0

Freezing Point of H2O

NSF Summer 2007 Jeff Rose04/20/23

Conversion FormulaMethod #1

Let’s make two ordered pairs: (CF , FF) (CB , FB)

(0 , 32) (100,212)

12

12

xxyy

m

0100

32212

100180

59

y-intercept = 32

bmxy 3259 CF

NSF Summer 2007 Jeff Rose04/20/23

Conversion FormulaMethod #2

What’s the ratio of F ° to C ° ?

{ }180° 100°

100180

CF

Multiply both sides by C and simplify:

But, F = 32 when C = 0, so add 32 to the smaller side:

CF 59CF 100

180

Fahrenheit212194176158140122104

86685032

Celsius1009080706050403020100325

9 CF

NSF Summer 2007 Jeff Rose04/20/23

Questions1) What is the Fahrenheit temp when it’s 30°C ?2) What is the Celsius temp when it’s 50°F ?3) What is normal body temp (98.6°F) in Celsius ?4) At what temp are the two scales equal ?

The first two aren’t that hard – but the last two are a bit harder!

Let’s go to Excel to figure out these answers …