Question

The temperature unit of Kelvin is used to determine the absolute temperature scale. such as “absolute zero" or “infinite cold." The formula to convert Fahrenheit to Kelvin can be expressed as K = 5/9(F - 32) + 273. where K is the degrees in Kelvin and F is the temperature in Fahrenheit.

Rearrange the formula to find the temperature of Fahrenheit in terms of Kelvin.
Solve for F, keeping the answer in fraction form

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Answer 1

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

Explanation:

Given

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

Required

Solve for F

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

Subtract 273 from both sides

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

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

Multiply through by
`(9)/(5)`

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

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

Add 32 to both sides

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

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

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