Question

The formula F = (9/5) (k - 273.15) + 32 converts a temperature from kelvin K to degrees Fahrenheit F. Convert 100 degrees Fahrenheit to kelvin K. Round my answer to the nearest hundredth.

Answer 1

EXPLANATION

Given the formula:

`F=\text{ }(9)/(5)(K-273.15)+32`

Replacing F=100 degrees in the equation as shown as follows:

`100\text{ = }(9)/(5)(K-273.15)+32`

Subtracting -32 to both sides:

`100\text{ -32= }(9)/(5)K-273.15)+32-32`

Applying distributive property:

`68\text{= }(9)/(5)K-(9)/(5)273.15`

Simplifying:

`68\text{= }(9)/(5)K-491.67`

Adding +491.67 to both sides:

`68+491.67\text{= }(9)/(5)K-491.67+491.67`

Multiplying both sides by 5/9:

`559.67\cdot(5)/(9)\text{= }(5)/(9)(9)/(5)K`

Simplifying and switching:

`K\text{=3}10.93`

The answer is 310.93°K.