Which is greater? a rise of 1 degree Fahrenheit, or a rise of 1 degree Celsius?
One-degree Celsius is greater than one degree Fahrenheit.
The relationship between them can be shown below:
[°F] = [°C] × 9⁄5 + 32 (Fahrenheit to Celsis Formula)
So, for temperature C1, we get:
F1 = C1 × 9⁄5 + 32 (eq. 1)
For another temperature let's say C2, we get:
F2 = C2 × 9⁄5 + 32 (eq. 2)
Subtracting eq. 1 from eq. 2, we get
F2- F1 = C2 × 9⁄5 + 32 - (C1 × 9⁄5 + 32), or
F2 - F1 = C2 × 9⁄5 - C1× 9⁄5 + 32 - 32, or
F2 - F1 = 9⁄5 × (C2 - C1), or
delta F = 9⁄5 × delta C, or
delta F = 1.8 × delta C, or
ΔF= 1.8 × ΔC
So, for each variation of one degree on the Celsius scale will correspond to a variation of 1.8 degrees on the Fahrenheit scale.
This meas that 1 degree Celsius is greater (represents a greater variation) than 1 degree Fahrenheit.
For a given temperature, the value in Fahrenheit will always be greater than the value in Celsius. This, though, doesn't necessarily mean a hotter temperature. You can easily see this behavior on a Celsius to Fahrenheit conversion table.
Celsius (°C) | Fahrenheit (°F) | |
---|---|---|
-273.15 °C | -459.67 °F | absolute zero |
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 |