Question

The temperature in degrees Kelvin is 273 degrees more than the temperature in degrees Celsius. Use the formula C=59(F−32) to write a formula for the temperature in degrees Fahrenheit F in terms of the temperature in degrees Kelvin K.

Answer 1

hello

F = (9/5)C+32

this is the relation

Answer 2

F = (9/5) (K - 273) + 32

Explanation:

The problems asks to use the formula C=59(F−32), but check that this is not correct, it should be:

`C = (5)/(9) (F - 32)`

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

`C = (5)/(9) (F - 32)`

`C = (5)/(9) (F - 32)\\C * (9)/(5) = (5)/(9)* (9)/(5)(F - 32)\\C * (9)/(5) = F - 32\\C * (9)/(5) +32 = F - 32 +32\\F = (9)/(5) C +32`

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