Final answer:
To convert 89.1 °F to Kelvin, convert to Celsius first, resulting in 31.72 °C, and then add 273.15 to obtain approximately 304.9 K, which does not match any of the given options.
Step-by-step explanation:
To convert a temperature of 89.1 °F to its equivalent in Kelvin (°K), first, we need to convert the temperature from Fahrenheit to Celsius using the conversion formula: °C = (°F - 32) × 5/9.
Let's perform the conversion:
°C = (89.1 - 32) × 5/9
°C = 57.1 × 5/9
°C = 31.72
Since we are looking for the temperature in Kelvin, we now use the relationship between Celsius and Kelvin: K = °C + 273.15.
K = 31.72 + 273.15
K = 304.87
To express the answer with the correct number of significant figures, we should round the temperature to 304.9 K.
Therefore, the correct conversion of 89.1 °F is approximately 304.9 K, none of the given options (a. 305.15 K, b. 312.25 K, c. 296.05 K, d. 290.05 K) exactly match this value.