Fahrenheit Celcius

Boiling point of water
212°
100°
Freezing point of water
32°

Absolute zero
–459.6°
–273.1°

a. To convert from Fahrenheit to Celsius, subtract 32 and multiply by 59 .
Write a formula to describe this relationship. Define any variables that you have used.
b. Mercury is liquid in the range from –38.20°F to 674.06°F. Use your formula to convert this range to degrees Celsius.
c. Rearrange the equation in a. to make Fahrenheit the subject of the formula.

(a) C = 5/9 (F-32)

(c) F = 9/5 C + 32

a. The formula for converting Fahrenheit to Celsius is: Celsius = (Fahrenheit - 32) * (5/9)

In this formula, "Fahrenheit" represents the temperature in degrees Fahrenheit, and "Celsius" represents the temperature in degrees Celsius.

b. To convert the range of temperatures for mercury from Fahrenheit to Celsius, we can use the formula from part a.

The lower limit of –38.20°F becomes: Celsius = (–38.20 - 32) * (5/9) = -38.20°C
The upper limit of 674.06°F becomes: Celsius = (674.06 - 32) * (5/9) = 356.70°C

Therefore, the range of temperatures for mercury in Celsius is from -38.20°C to 356.70°C.

c. To rearrange the formula from part a to make Fahrenheit the subject of the formula, we can follow these steps:

Celsius = (Fahrenheit - 32) * (5/9)

First, divide both sides of the equation by (5/9):

Celsius / (5/9) = Fahrenheit - 32

Next, simplify the left side of the equation by multiplying by the reciprocal of (5/9):

Celsius * (9/5) = Fahrenheit - 32

Then, distribute the (9/5) to each term on the right side of the equation:

(9/5) * Celsius = Fahrenheit - 32

Finally, add 32 to both sides of the equation to isolate "Fahrenheit":

(9/5) * Celsius + 32 = Fahrenheit

Therefore, the rearranged formula to convert Celsius to Fahrenheit is: Fahrenheit = (9/5) * Celsius + 32