Question

The temperature in degrees Kelvin is 273 degrees more than the temperature in degrees Celsius. Use the formula 
`C= (5)/(9)( F-32)` to write a formula for the temperature in degrees Fahrenheit F in terms of the temperature in degrees Kelvin K.

Answer 1

Ok let's write an equation for the first sentence :

K = 273 + C

and we know that C = 5/9(F - 32). Now we need K as a function of F

Substitute C with F.......

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

Answer 2

The required formula is
`K=273+(5)/(9)(F-32)`

Explanation:

Given : The temperature in degrees Kelvin is 273 degrees more than the temperature in degrees Celsius.

To find : Write a formula for the temperature in degrees Fahrenheit F in terms of the temperature in degrees Kelvin K ?

Solution :

The formula to convert Fahrenheit into Celsius is given by,

`C=(5)/(9)(F-32)` ....(1)

The temperature in degrees Kelvin is 273 degrees more than the temperature in degrees Celsius.

i.e.
`K=273+C` .....(2)

Now, To write temperature in degrees Fahrenheit F in terms of the temperature in degrees Kelvin K

Substitute the value of C from (1) in (2),

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

Therefore, The required formula is
`K=273+(5)/(9)(F-32)`