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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.

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LacyGirl2015

Answer:

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

Step-by-step explanation:

If K = C + 273 (the formula for Degrees Celsius to Kelvin),

and C = 5/9(F - 32) (the formula for Degrees Fahrenheit to Degrees Celsius),

then using the substitution method, we can substitute the equation for Celsius into the place of Celsius in the Kelvin equation, giving us

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

Hope this helps!

-Lacy

Solving the formula, it is found that the formula for F in terms of K is given by:

[tex]F = \frac{2617 - 9K}{5}[/tex]

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  • The formula that relates degrees Celsius and degrees Fahrenheit is:

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

  • The temperature in degrees Kelvin is 273 more than the temperature in degrees Celsius, thus:

[tex]K = C + 273[/tex]

[tex]C = 273 - K[/tex]

  • Replacing in the first equation:

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

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

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Solving the above formula for F, we find a formula for F in terms of K. Thus:

[tex]5(F - 32) = 9(273 - K)[/tex]

[tex]5F - 160 = 2457 - 9K[/tex]

[tex]5F = 2617 - 9K[/tex]

[tex]F = \frac{2617 - 9K}{5}[/tex]

A similar problem is given at https://brainly.com/question/5123313

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