Convert 57 kelvin to celsius and fahrenheit.
The Correct Answer and Explanation is :
To convert 57 Kelvin to Celsius and Fahrenheit, we need to use the following formulas:
1. From Kelvin to Celsius:
The formula for converting Kelvin to Celsius is:
[
\text{Celsius} = \text{Kelvin} – 273.15
]
For 57 Kelvin:
[
\text{Celsius} = 57 – 273.15 = -216.15^\circ C
]
2. From Kelvin to Fahrenheit:
To convert from Kelvin to Fahrenheit, we first convert to Celsius and then use the formula:
[
\text{Fahrenheit} = \left( \text{Celsius} \times \frac{9}{5} \right) + 32
]
Using -216.15°C:
[
\text{Fahrenheit} = \left( -216.15 \times \frac{9}{5} \right) + 32
]
[
\text{Fahrenheit} = (-388.77) + 32 = -356.77^\circ F
]
Final Results:
- 57 Kelvin = -216.15°C
- 57 Kelvin = -356.77°F
Explanation:
The Kelvin scale is an absolute temperature scale, meaning it starts at absolute zero (0 K), the theoretical point where all molecular motion stops. The Kelvin scale increments are the same as the Celsius scale, so the difference between two temperature values in Kelvin is equivalent to the difference in Celsius. To convert from Kelvin to Celsius, you simply subtract 273.15 from the given temperature in Kelvin.
Fahrenheit is another temperature scale commonly used in the United States. To convert from Celsius to Fahrenheit, the temperature in Celsius is first multiplied by 9/5 (or 1.8) and then 32 is added to the result. The reason for this is to account for the difference in scaling between Celsius (where 0°C is the freezing point of water) and Fahrenheit (where 32°F is the freezing point of water).
In this case, 57 K is extremely cold, well below freezing temperatures in both Celsius and Fahrenheit, which is why the values are negative.