Final answer:
To write a formula for the temperature in degrees Fahrenheit F in terms of the temperature in degrees Kelvin K, we can use conversion formulas for Kelvin to Celsius and Celsius to Fahrenheit. First, convert K to C using C = K - 273. Then, convert C to F using F = (C * 9/5) + 32. Finally, substitute the expression for C into the equation F = ((K - 273) * 9/5) + 32.
Step-by-step explanation:
To write a formula for the temperature in degrees Fahrenheit F in terms of the temperature in degrees Kelvin K, we can use the conversion formulas between Kelvin and Celsius, and between Celsius and Fahrenheit. From the given information, we know that the temperature in degrees Kelvin is 273 degrees less than the temperature in degrees Celsius. Using the formula C = (F-32) * 5/9, we can express the temperature in degrees Celsius in terms of Fahrenheit. Then, using the formula K = C + 273, we can express the temperature in degrees Kelvin in terms of Celsius. Finally, substituting the expression for C in terms of F into the equation K = C + 273, we can write a formula for the temperature in degrees Fahrenheit F in terms of the temperature in degrees Kelvin K.
Step 1: Convert from Kelvin to Celsius: C = K - 273
Step 2: Convert from Celsius to Fahrenheit using the formula F = (C * 9/5) + 32
Step 3: Substitute the expression for C from Step 1 into the equation in Step 2: F = ((K - 273) * 9/5) + 32