Which of the following represents the highest temperature?
A
77.00 K
B
−321.07℉
C
−196.15℃
D
All are the same temperature.
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1
Convert the temperature from Fahrenheit to Kelvin. Use the formula: \( K = \frac{5}{9}(\text{°F} - 32) + 273.15 \). Substitute \( \text{°F} = -321.07 \) into the formula.
Convert the temperature from Celsius to Kelvin. Use the formula: \( K = \text{°C} + 273.15 \). Substitute \( \text{°C} = -196.15 \) into the formula.
Compare the Kelvin values obtained from the conversions with the given temperature of 77.00 K.
Recognize that if all converted temperatures are equal to 77.00 K, then all temperatures represent the same temperature.
Conclude that since all temperatures convert to 77.00 K, they are indeed the same temperature.