The temperature in degrees Fahrenheit in terms of the Celsius temperature is given by . The temperature in degrees Celsius in terms of the Kelvin temperature is given by . Write a formula for the temperature in degrees Fahrenheit in terms of the Kelvin temperature . It is not necessary to simplify.

Respuesta :

Answer:

The temperature in degrees Fahrenheit in terms of the Celsius temperature is given by .

As we know by the linear relation

[tex]\frac{^o F - 32}{212 - 32} = \frac{^o C - 0}{100 - 0}[/tex]

now we have

[tex]^o F - 32 = \frac{180}{100} ^o C[/tex]

so we have

[tex]^o F = \frac{9}{5} ^o C + 32[/tex]

The temperature in degrees Celsius in terms of the Kelvin temperature is given by

As we know by the linear relation

[tex]\frac{^o C - 0}{100 - 0} = \frac{K - 273}{373 - 273}[/tex]

now we have

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

the temperature in degrees Fahrenheit in terms of the Kelvin temperature .

As we know by the linear relation

[tex]\frac{^o F - 32}{212 - 32} = \frac{K - 273}{373 - 273}[/tex]

now we have

[tex]^o F - 32 = \frac{180}{100} (K - 273)[/tex]

so we have

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