Convert 101 degree fahrenheit (°f) into celsius (°c) and kelvin (k).
The Correct Answer and Explanation is :
To convert 101 degrees Fahrenheit (°F) into Celsius (°C) and Kelvin (K), we can use the following formulas:
Conversion Formulas
- Celsius (°C) from Fahrenheit (°F):
[
°C = \frac{(°F – 32) \times 5}{9}
] - Kelvin (K) from Celsius (°C):
[
K = °C + 273.15
]
Step-by-Step Conversion
- Convert 101°F to °C:
[
°C = \frac{(101 – 32) \times 5}{9}
]
[
°C = \frac{69 \times 5}{9}
]
[
°C = \frac{345}{9} \approx 38.33°C
] - Convert 38.33°C to K:
[
K = 38.33 + 273.15 \approx 311.48K
]
Final Results
- 101°F is approximately 38.33°C.
- 101°F is approximately 311.48K.
Explanation
Temperature conversions are essential in various fields, including science, medicine, and everyday life. The Fahrenheit scale, commonly used in the United States, is based on a scale where water freezes at 32°F and boils at 212°F. In contrast, the Celsius scale is more widely adopted globally and is based on the freezing (0°C) and boiling (100°C) points of water at standard atmospheric pressure.
To convert Fahrenheit to Celsius, we first subtract 32 from the Fahrenheit value to adjust for the freezing point of water. Then, we multiply the result by (\frac{5}{9}) to account for the different increments of the scales. This conversion is crucial for fields like healthcare, where body temperature, often measured in Fahrenheit in the U.S., needs to be interpreted in Celsius for international communication or scientific data.
Once we have the temperature in Celsius, converting it to Kelvin involves adding 273.15. Kelvin is the SI unit of temperature and is used in scientific contexts, particularly in thermodynamics. The Kelvin scale starts at absolute zero, the point at which molecular motion ceases. Thus, understanding these conversions is vital for accurate temperature readings and comparisons across different measurement systems.