Understanding Temperature Scales: Fahrenheit to Celsius Conversion

Temperature can be measured using different scales, with Fahrenheit (°F) and Celsius (°C) being two commonly used ones. It's often necessary to convert a temperature from one scale to another. This question asks us to convert a specific temperature given in Fahrenheit, 14 degrees Fahrenheit, into its equivalent value in degrees Centigrade (which is another name for Celsius).

The Formula for Converting Fahrenheit to Celsius

To convert a temperature from degrees Fahrenheit (°F) to degrees Celsius (°C), we use the following formula:

\(^{\circ}\text{C} = (^{\circ}\text{F} - 32) \times \frac{5}{9}\)

This formula tells us to first subtract 32 from the Fahrenheit temperature and then multiply the result by \(\frac{5}{9}\).

Step-by-Step Calculation: Converting 14°F to Celsius

We are given a temperature of 14 degrees Fahrenheit. Let's use the conversion formula to find its Celsius equivalent.

1. Start with the Fahrenheit temperature: \(^{\circ}\text{F} = 14\).
2. Subtract 32 from the Fahrenheit temperature: \(14 - 32 = -18\).
3. Multiply the result by \(\frac{5}{9}\): \(-18 \times \frac{5}{9}\).
4. Calculate the final value: \(-18 \times \frac{5}{9} = \frac{-18 \times 5}{9} = \frac{-90}{9} = -10\).

So, 14 degrees Fahrenheit is equal to -10 degrees Celsius.

\(14^{\circ}\text{F} = (14 - 32) \times \frac{5}{9} \, ^{\circ}\text{C}\)

\(14^{\circ}\text{F} = (-18) \times \frac{5}{9} \, ^{\circ}\text{C}\)

\(14^{\circ}\text{F} = -10 \, ^{\circ}\text{C}\)

Comparing Fahrenheit and Celsius Scales

Understanding some key points on both scales can help put the conversion into perspective.

Our calculated value of -10°C is below the freezing point of water (0°C), which makes sense as 14°F is also below the freezing point (32°F).

Conclusion on 14°F to °C Conversion

Based on the calculation using the standard conversion formula, 14 degrees Fahrenheit is equivalent to -10 degrees Celsius.

Revision Table: Temperature Conversion

Additional Information: Other Temperature Scales

While Fahrenheit and Celsius are common, other temperature scales exist, such as Kelvin (K). Kelvin is the base unit of thermodynamic temperature in the International System of Units (SI).

• Kelvin (K): This scale is often used in science. It is an absolute scale, meaning that 0 K is absolute zero, the theoretical point where particles have minimal motion. The intervals on the Kelvin scale are the same size as on the Celsius scale.
• Conversion from Celsius to Kelvin: \(K = ^{\circ}\text{C} + 273.15\).

Understanding these different scales and how to convert between them is fundamental in various scientific and everyday applications.