Temperature Conversions Quiz
Formulas: °F = 1.8°C + 32
Name____________________
°K = °C+273.15
°C
°C = (°F-32) / 1.8
°F
°K
Lowest Possible Value
Freezing Point of Water
Boiling Point of Water
How many total degrees
between the freezing point and
boiling point of water?
Convert from °C into °F and °K
10°
Convert from °C into °F and °K
11°
When the temperature changes
by 1°C, how much does it
change in °F and °K?
1°C
If the temperature undergoes a
change of 10°C, how much does
it change in °F and °K?
10°C
If the temperature undergoes a
change of 6°C, how much does
it change in °F and °K?
6°C
Hopefully this helps you see that because there are 100 degrees between the
freezing point and boiling point on both the Celsius and Kelvin scales that any
change in degrees Celsius is equal to the same change in degrees Kelvin (1°C
= 1°K). Since there are 180 degrees between the freezing point and boiling
point of water on the Fahrenheit scale that means every change of 1°C
corresponds to a 1.8°F change (180°F /100°C). So 1°C = 1.8°F. This makes
sense if you look at the conversion formulas and treat them as line equations in
slope-intercept form.
1°C = 1.8°F = 1°K
Temperature Scales
C
F
K
1000
Temperture(°)
800
600
400
200
0
-200
Since the Celsius scale and the Kelvin scale have the same slope ((1°C = 1°K
and m =1) the value of a temperature in °C will never equal the value °K. You
should see that from the graph above. The line representing the Fahrenheit scale
has a different slope (m=1.8) so it will eventually intersect both the Kelvin and
Celsius temperature scales. This means that at a specific temperature the value
for the temperature in °Celsius and °Fahrenheit will be equivalent. There will also
be a value where the temperature in °Fahrenheit and °Kelvin will also be equal.
Determining Equivalent Temperatures
°F = 1.8°C + 32
if there is a temperature where °F = °C we know that F and C will have the same
exact unknown value (x) in the formula above. So we can sub in x as follows:
x = 1.8x+ 32
x = -40
°F = 1.8°C + 32
[Just solve for x by combining like terms]
Thus -40°F = -40°C
Plug it back in to check (-40) = 1.8(-40) +32
Assignment 1: Mathematically determine through algebraic manipulation the
temperature that will have the same value on the Fahrenheit and Kelvin scales.
(SHOW ALL STEPS AND WORK or NO CREDIT WILL BE GIVEN). Attach to
this
Assignment 2: Create the above graph in Microsoft excel. Print a copy of it and
your workbook. Attach both to this sheet.
Temperature Conversions. °F = 1.8°C + 32 °K = °C+273.15 °C = (°F-32) / 1.8
[1] If Mr. Sapone opened up a bag of chips with 470 chips in it and he
ACCIDENTALLY poured 70% of those chips on Kora, how many chips would
have fallen on Kora? Assume that is the temperature in °K and convert it into °F
and °C
°C______________
°F_______________
°K_______________
[2) If Mr. Sapone gave Natalie and Kara a number of Saturday detentions equal
to the square of the third root of the number of students in this classroom when
full, how many detentions would they have? Assuming that number represents
the temperature in Celsius, convert it into °F and °K
°C______________
°F_______________
°K_______________
[3] The number of cups in a gallon plus the number of teaspoons in a cup is the
temperature in °C. Convert it into °F and °K
°C______________
°F_______________
°K_______________
[4] George M. buys himself an antique Barbie doll and a cheap tiara for $110.
The Barbie doll costs $95 more than the tiara. How much did each one cost?
Show the work in solving this system of equations (hint) and assume the cost of
the doll is the temperature in °F and convert it into °K and °C
Work:
°C______________
°F_______________
°K_______________
[5] There are seven sisters (Sidney, Jessica, Emily, Rebecca, Jatorra, Nicole and
Abigail) in a room surrounding a four-legged table with a stereo on top of it that is
playing One Direction songs. Each sister has seven backpacks and in each
backpack there are seven large cats. For each large cat in the room there are 3
kittens (all named Jocelyn) and one rat (all named brAIDAN). How many legs are
there in the room? Assume that is the temperature in °F and convert it into °K
and °C
°C______________
°F_______________
°K_______________
[6] The density of a solid substance is 18g/cm3. If Christopher cuts that object in
half, what is its density? Assume that is the temperature in Celsius, convert it into
°F and °K
°C______________
°F_______________
°K_______________
[7] Michael has the square root of 169 ducks. David had twice as many ducks as
Michael (nananana!) but Ann stole three of them. How many ducks does David
have? Assume that is the temperature in Celsius, convert it into °F and °K
°C______________
°F_______________
°K_______________
[8] The temperature in °F is the third root of 125 plus the atomic number of
Fluorine (which helps keep Erin’s teeth healthy and strong). Convert that number
into °C and °K
°C______________
°F_______________
°K_______________
[9] Krysta slipped and fell down a rocky hill with alligators at the bottom (ouch!)
that had a steepness comparable to the slope (m) of a line passing through the
points (2,3) and (4,7). Taking the slope value and adding it to the number of
centimeters in two meters is the temperature in °F. Convert it into °K and °C
°C______________
°F_______________
°K_______________
[10] A recipe calls for cooking Lasagna at 350°F. If Cindy was cooking lasagna
for her family in Europe, what temperature would she set the oven too if it was
based on the Celsius scale? If she accidentally set it to 350°C, how hot would
that be in °F?
°C______________
°F_______________
[11] If the awesome, allied alliteration trio of Alissa, Abby and Alexanda were
planning a trip and the weather report said tomorrow would have a high
temperature of 30°C, is that good beach weather? Convert it.
°C______________
°F_______________
°K_______________
[12] Katerina loves math so much she emailed me this awesome problem and
told me to include it. The temperature in °K is x and x2+3x+2=0. What is the
temperature in °K? Convert it into °C and °F
°C______________
°F_______________
°K_______________
[13] Katerina also emailed me this problem (everyone thank her!). The
temperature in °C is the density of a solid sphere with a radius of 7cm3 and a
mass of 8000g. Convert it into °K and °F.
°C______________
°F_______________
°K_______________
[14] The temperature in °K is (4.2x103) minus (8.6x102). Convert that number into
°F and °C.
°C______________
°F_______________
°K_______________
[15] The temperature in °F is 14 times the length of the hypotenuse of a right
triangle with sides of 3 and 4. Convert that number into °C and °K.
°C______________
°F_______________
°K_______________
ESSAY: Describe three different temperature scales and explain what they are
based on. Do you think the United States should adopt the Celsius scale, why or
why not?