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

Respuesta :

nathanthomasmoses

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:

The required formula is [tex]K=273+\frac{5}{9}(F-32)[/tex]      

Step-by-step 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,

[tex]C=\frac{5}{9}(F-32)[/tex] ....(1)

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

i.e. [tex]K=273+C[/tex] .....(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),

[tex]K=273+\frac{5}{9}(F-32)[/tex]

Therefore, The required formula is [tex]K=273+\frac{5}{9}(F-32)[/tex]

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