Answer
a. 366.48 K
b. 199.82 K
c. 166.66 K
d. The "300 Club" name only works for the Fahrenheit scale
Work Step by Step
At 200.0°F: Tc = 5/9 (200.0°F − 32°F) = 93.33°C; Tk = 93.33 + 273.15 = 366.48 K
At −100.0°F: Tc = 5/9 (−100.0°F − 32°F) = −73.33°C; TK = −73.33°C + 273.15 = 199.82 K
∆T(°C) = [93.33°C − (−73.33°C)] = 166.66°C; ∆T(K) = (366.48 K −199.82 K) = 166.66 K
The “300 Club” name only works for the Fahrenheit scale; it does not hold for the Celsius and Kelvin scales.