What is 210 c to.f ?
The Correct Answer and Explanation is:
To convert 210°C to Fahrenheit, you can use the following formula:
[
F = \frac{9}{5} \times C + 32
]
Where:
- (F) represents the temperature in Fahrenheit.
- (C) represents the temperature in Celsius.
Step-by-Step Calculation:
- Substitute the Celsius value (210°C) into the formula:
[
F = \frac{9}{5} \times 210 + 32
] - Multiply 9/5 by 210:
[
\frac{9}{5} \times 210 = 378
] - Add 32 to the result:
[
378 + 32 = 410
]
Thus, 210°C is equal to 410°F.
Explanation of the Formula:
The conversion formula (\frac{9}{5} \times C + 32) is derived from the relationship between the Celsius and Fahrenheit scales. Here’s how the formula works:
- The Fahrenheit scale is based on the freezing point of water being 32°F and the boiling point of water being 212°F (at standard atmospheric pressure).
- The Celsius scale is based on the freezing point of water being 0°C and the boiling point being 100°C.
To convert between the two, you need to account for the fact that the two scales have different starting points and degrees of increment. The freezing point of water in Celsius (0°C) is 32°F on the Fahrenheit scale, so we add 32 to the final value to adjust for this difference. The factor (\frac{9}{5}) is used because there are 180 Fahrenheit degrees between the freezing and boiling points of water (212°F – 32°F), compared to 100 Celsius degrees between the same points. This means that each Celsius degree is equivalent to ( \frac{9}{5} ) Fahrenheit degrees.
Understanding the conversion formula helps in accurately converting temperatures for scientific, culinary, and everyday use.