Question

F= 9/5(K−273) + 32

In order to convert a temperature in kelvin into a temperature in degrees in fahrenheit, the equation above can be used. Which of the following equations correctly expresses the temperature in kelvin in terms of the temperature in degrees Fahrenheit?

Answer 1

@jim_thompson5910

Answer 2

`Which of the following equations correctly expresses the temperature in kelvin in terms of the temperature in degrees Fahrenheit?`

translation: solve the given equation for K

Answer 3

K=(5/9F - 32) + 273 ?
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Answer 4

Imagine we started with just K

Let's apply a series of steps to get the right hand side of the equation

step 1) subtract off 273
so we go from just K to K-273

step 2) multiply the result of step 1 by 9/5
we go from (K-273) to (9/5)*(K-273)

step 3) Add 32 to the result of the prev step
we go from (9/5)*(K-273) to (9/5)*(K-273)+32

Answer 5

or would the 5/9 be on the outside of the parentheses??

Answer 6

to recap so far, if we start with just K and go through step 1 through step 3 (shown above) then we end up at (9/5)*(K-273)+32

Answer 7

to isolate K, we just undo everything going in reverse

so we would start at step 3 and undo the addition of 32

which means we subtract 32 from both sides

Answer 8

F= 9/5(K−273) + 32

F - 32= 9/5(K−273) + 32-32 ... undo step 3 (see above)

F - 32 = 9/5(K−273)

(5/9)*(F - 32) = 5/9*9/5(K−273) ... undo step 2 (see above)

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

(5/9)*(F - 32)+273 = K - 273+273 ... undo step 1 (see above)

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

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

Answer 9

so the 5/9 has to be on the outside..

Answer 10

yes applied to ALL of (F-32) not just the F

Answer 11

THANK YOU x 100000000000000000

Answer 12

you're welcome