Question

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.

Answer 1

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

As we know by the linear relation

`(^o F - 32)/(212 - 32) = (^o C - 0)/(100 - 0)`

now we have

`^o F - 32 = (180)/(100) ^o C`

so we have

`^o F = (9)/(5) ^o C + 32`

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

As we know by the linear relation

`(^o C - 0)/(100 - 0) = (K - 273)/(373 - 273)`

now we have

`C = K - 273`

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

As we know by the linear relation

`(^o F - 32)/(212 - 32) = (K - 273)/(373 - 273)`

now we have

`^o F - 32 = (180)/(100) (K - 273)`

so we have

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