At what temperature do Celsius and Fahrenheit have the same value?
-40 represents the same temperature both in the Celsius scale and in Fahrenheit scale
Celsius and Fahrenheit are two common temperature scales. The Fahrenheit scale is used in the United States, while Celsius is universally used.
The freezing point of water at a pressure of 1 atm is 0 degrees Celsius which is equivalent to 32 degrees Fahrenheit.
The boiling point of water at the same pressure is 100 degrees Celsius which equals 212 degrees Fahrenheit.
You could figure out which temperature Celsius equals Fahrenheit by trial and error using a conversion formula or a table.
But to be more precise, um can use one of the formulas below:
°F = °C × 9⁄5 + 32
or
°C = (°F − 32) × 5⁄9
Let's use the first one.
Let's make T the temperature we want to find, then plug it into the formula.
T = T × 9/5 + 32
T - T × 9/5 = 32
T(1 - 9/5) = 32
T(1 - 9/5) = 32
T(-4/5) = 32
T(-4) = 5 × 32
T = (5 × 32) / (-4)
T = -40
So, -40 represents the same temperature both in the Celsius scale and in Fahrenheit scale.
Celsius (°C) | Fahrenheit (°F) | Note |
---|---|---|
-273.15 °C | -459.67 °F | absolute zero |
-40 °C | -40 °F | Celsius = Fahrenheit |
-30 °C | -22 °F | |
-20 °C | -4 °F | |
-10 °C | 14°F | |
0 °C | 32 °F | freezing point of water |
10 °C | 50 °F | |
20 °C | 68 °F | |
30 °C | 86 °F | |
40 °C | 104 °F | |
50 °C | 122 °F | |
60 °C | 140 °F | |
70 °C | 158 °F | |
80 °C | 176 °F | |
90 °C | 194 °F | |
100 °C | 212 °F | boiling point of water |