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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 …