The temperature conversion from Fahrenheit to Celsius is . The conversion from Celsius to Kelvin is . A substance is kept at a temperature of degrees Fahrenheit. A chemical reaction causes its temperature to drop to a new temperature that is half the original value, also in degrees Fahrenheit. Which expression represents the final temperature in Kelvin?
- (correct answer)
Explanation: Let the original temperature be in degrees Fahrenheit. The final temperature in Fahrenheit is . We need to convert this final Fahrenheit temperature to Kelvin. First, convert the final Fahrenheit temperature to Celsius. Let . Using the formula, . Next, convert this Celsius temperature to Kelvin: . Choice A represents the simplified form with decimal approximation. Choice C represents halving the Kelvin temperature, not the Fahrenheit. Choice D represents halving the Celsius equivalent, not the Fahrenheit reading itself.