Answer:
F = (9/5) (K - 273) + 32
Step-by-step explanation:
The problems asks to use the formula C=59(F−32), but check that this is not correct, it should be:
[tex]C = \frac{5}{9} (F - 32)[/tex]
We also know that temperature in degrees Kelvin K is 273 more than in degrees Celsius C, so we can write this as:
K = C + 273
The question asks to write a formula for the temperature in degrees Fahrenheit F in terms of the temperature in degrees Kelvin K.
So first lets isolate F in the first formula
[tex]C = \frac{5}{9} (F - 32)[/tex]
[tex]C = \frac{5}{9} (F - 32)\\C * \frac{9}{5} = \frac{5}{9}* \frac{9}{5}(F - 32)\\C * \frac{9}{5} = F - 32\\C * \frac{9}{5} +32 = F - 32 +32\\F = \frac{9}{5} C +32[/tex]
Now to make the formula in terms of K, lets first write C in terms of K:
K = C + 273
C = K -273
And now we can replace C in the F formula to write it in terms of K:
F = (9/5) (K - 273) + 32
