which of the following temperatures is the lowest? A.100C) B.100F) C.100K) or D. they are all the same
The Correct Answer and Explanation is :
To determine which of the given temperatures is the lowest, we need to convert all of them to the same temperature scale. The options are:
A. 100 °C (Celsius)
B. 100 °F (Fahrenheit)
C. 100 K (Kelvin)
Conversions:
- Convert Celsius to Kelvin:
The formula to convert Celsius to Kelvin is:
[
K = °C + 273.15
]
For 100 °C:
[
K = 100 + 273.15 = 373.15 \, K
] - Convert Fahrenheit to Kelvin:
The formula to convert Fahrenheit to Celsius is:
[
°C = \frac{(°F – 32) \times 5}{9}
]
For 100 °F:
[
°C = \frac{(100 – 32) \times 5}{9} \approx 37.78 \, °C
]
Now convert this to Kelvin:
[
K = 37.78 + 273.15 \approx 310.93 \, K
] - Kelvin:
100 K is already given in Kelvin.
Comparison of Temperatures:
Now, we compare the three temperatures in Kelvin:
- A. 100 °C = 373.15 K
- B. 100 °F ≈ 310.93 K
- C. 100 K = 100 K
Conclusion:
When we compare 373.15 K, 310.93 K, and 100 K, it is clear that 100 K is the lowest temperature.
Summary:
In summary, 100 °C and 100 °F convert to higher Kelvin values (373.15 K and approximately 310.93 K, respectively), while 100 K is significantly lower than both. Therefore, the correct answer is C. 100 K is the lowest temperature among the options provided.