Convert 50 degree Celsius to Fahrenheit and Kelvin scale.
The Correct Answer and Explanation is :
To convert temperatures between Celsius, Fahrenheit, and Kelvin, we can use the following formulas:
- Celsius to Fahrenheit:
[ F = \left( C \times \frac{9}{5} \right) + 32 ]
where ( F ) is the temperature in Fahrenheit and ( C ) is the temperature in Celsius. - Celsius to Kelvin:
[ K = C + 273.15 ]
where ( K ) is the temperature in Kelvin.
Conversion of 50 Degrees Celsius
Step 1: Convert to Fahrenheit
Using the formula for Celsius to Fahrenheit:
[
F = \left( 50 \times \frac{9}{5} \right) + 32
]
[
F = (90) + 32 = 122
]
So, 50 degrees Celsius is equal to 122 degrees Fahrenheit.
Step 2: Convert to Kelvin
Using the formula for Celsius to Kelvin:
[
K = 50 + 273.15 = 323.15
]
Thus, 50 degrees Celsius is equal to 323.15 Kelvin.
Summary of Results
- 50 degrees Celsius = 122 degrees Fahrenheit
- 50 degrees Celsius = 323.15 Kelvin
Explanation
The Celsius scale is based on the freezing point of water at 0 degrees and the boiling point at 100 degrees under standard atmospheric conditions. In contrast, the Fahrenheit scale places the freezing point of water at 32 degrees and the boiling point at 212 degrees, making it less intuitive for scientific applications. The Kelvin scale, often used in scientific contexts, is an absolute temperature scale starting at absolute zero (0 K), where molecular motion ceases.
The formulas used to convert between these scales are derived from their definitions. For instance, the factor of (\frac{9}{5}) in the Celsius to Fahrenheit conversion accounts for the different intervals between degrees in each scale. The addition of 273.15 in the Celsius to Kelvin conversion is necessary to shift the starting point to absolute zero. Understanding these conversions is crucial in fields like meteorology, engineering, and physics, where temperature plays a pivotal role in various processes.