EXPLANATION
Given the formula:
[tex]F=\text{ }\frac{9}{5}(K-273.15)+32[/tex]Replacing F=100 degrees in the equation as shown as follows:
[tex]100\text{ = }\frac{9}{5}(K-273.15)+32[/tex]Subtracting -32 to both sides:
[tex]100\text{ -32= }\frac{9}{5}K-273.15)+32-32[/tex]Applying distributive property:
[tex]68\text{= }\frac{9}{5}K-\frac{9}{5}273.15[/tex]Simplifying:
[tex]68\text{= }\frac{9}{5}K-491.67[/tex]Adding +491.67 to both sides:
[tex]68+491.67\text{= }\frac{9}{5}K-491.67+491.67[/tex]Multiplying both sides by 5/9:
[tex]559.67\cdot\frac{5}{9}\text{= }\frac{5}{9}\frac{9}{5}K[/tex]Simplifying and switching:
[tex]K\text{=3}10.93[/tex]The answer is 310.93°K.
