Explain celsius and fahrenheit scales of temerature. Obtain the relation between celsius and faherenheit scales of temperature.

The Celsius scale (denoted as C) is one of the most widely used temperature scales, particularly in most parts of the world. It defines two fixed points: the lower fixed point at 0°C, which represents the freezing point of water, and the upper fixed point at 100°C, which represents the boiling point of water at standard atmospheric pressure.

The Fahrenheit scale (denoted as F) is commonly used in the United States. It also defines two fixed points: the lower fixed point at 32°F, which is the freezing point of water, and the upper fixed point at 212°F, which is the boiling point of water at standard atmospheric pressure.

The fundamental interval of the Celsius scale is 100 degrees, meaning that the scale is divided into 100 equal parts between the freezing and boiling points of water. On the other hand, the Fahrenheit scale has a fundamental interval of 180 degrees, as the difference between the freezing and boiling points of water is divided into 180 parts.

Relation Between Celsius and Fahrenheit

The relation between celsius and fahrenheit is crucial when converting between these two scales. The formula to convert Celsius to Fahrenheit and vice versa is based on a linear relationship. This relation is derived from the fact that the two scales are defined by their fixed points and intervals.

To convert a temperature in Celsius (C) to Fahrenheit (F), the formula is:

F = (C × 9/5) + 32

Similarly, to convert a temperature in Fahrenheit (F) to Celsius (C), the formula is:

C = (F - 32) × 5/9

This relation between celsius and fahrenheit ensures accurate temperature conversion across both scales, making it easier to compare and interpret temperatures worldwide.

Example

If we want to convert 25°C to Fahrenheit, we use the first formula:

F = (25 × 9/5) + 32 = 77°F

Similarly, if we want to convert 77°F to Celsius, we apply the second formula:

C = (77 - 32) × 5/9 = 25°C

The relation between celsius and fahrenheit is essential for understanding temperature measurements across different regions and scientific fields. It helps standardize the interpretation of temperature data, particularly in fields such as meteorology, chemistry, and engineering.