Question

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

Answer 1

`\stackrel{ \textit{in Celsius} }{C=\cfrac{5}{9}(F-32)}\hspace{9em}K=C+273\implies \stackrel{ \textit{in Kelvin} }{K=\cfrac{5}{9}(F-32)+273} \\\\[-0.35em] ~\dotfill\\\\ K=\cfrac{5}{9}(F-32)+273\implies K-273=\cfrac{5}{9}(F-32)\implies K-273=\cfrac{5(F-32)}{9} \\\\\\ 9(K-273)=5(F-32)\implies \cfrac{9(K-273)}{5}=F-32 \\\\\\ ~\hfill~ \cfrac{9}{5}(K-273)+32=F~\hfill~`