110 degrees Celsius is equal to __ degrees Fahrenheit.
The Correct Answer and Explanation is :
To convert 110 degrees Celsius to Fahrenheit, we can use the formula for converting Celsius to Fahrenheit:
[
F = \frac{9}{5} \times C + 32
]
Where:
- (F) is the temperature in Fahrenheit
- (C) is the temperature in Celsius
In this case, (C = 110).
Step 1: Multiply 110 by (\frac{9}{5})
First, calculate (\frac{9}{5} \times 110):
[
\frac{9}{5} \times 110 = 198
]
Step 2: Add 32 to the result
Now, add 32 to the result from step 1:
[
198 + 32 = 230
]
Therefore, 110 degrees Celsius is equal to 230 degrees Fahrenheit.
Explanation:
The Celsius and Fahrenheit scales are two different ways of measuring temperature. The Celsius scale is based on the freezing and boiling points of water, where 0°C is the freezing point and 100°C is the boiling point at standard atmospheric pressure. The Fahrenheit scale, primarily used in the United States, sets the freezing point of water at 32°F and the boiling point at 212°F under the same conditions.
The relationship between the two scales is linear, meaning there is a consistent formula to convert between them. The reason for this formula involves both the different zero points (Celsius starts at 0, Fahrenheit at 32) and the fact that the Fahrenheit scale has 180 degrees between the freezing and boiling points of water, while Celsius has 100. This makes Fahrenheit increments smaller than Celsius ones. The formula adjusts for these differences and allows us to accurately convert between the two temperature scales.
For example, in scientific contexts, Celsius is often used due to its simplicity, but Fahrenheit remains in use in everyday life in certain regions, such as the U.S. Understanding the conversion allows for accurate communication of temperature data across different measurement systems.