A wood fire burns at 260 °C. What is the temperature in Fahrenheit?

1 Answer
Jan 8, 2018

color(red)(F=9/5color(blue)((C))+32-> "the derived formula"
where:
C=260^o

Explanation:

It is confusing to memorize formulas. To start with, just remember the standard values; freezing and boiling points of water expressed in C and F. Knowing these data provide the important conversion formula that can be derived from it.

"Freezing Point of water in " C and F=0^o and 32^o
"Boiling Point of water in " C and F=100^o and 212^o

Now, formulate the ratios that relate the two temperature scales where the temperature units and zero points are different; hence,

(C-0)/(100-0)=(F-32)/(212-32), simplify

C/100=(F-32)/180, cross multiply

100(F-32)=180(C), divide both sides by 100 and simplify

(cancel(100)(F-32))/cancel(100)=(cancel(180)9(C))/(cancel(100)5, simplify

F-32=9/5(C), add 32 both sides of the equation
Fcancel(-32+32)=9/5(C)+32, simplify
color(red)(F=9/5color(blue)((C))+32-> "the derived formula"

Then, given the value color(blue)(C=260^o), plug in the value to the formula to convert C to F; hence

F=9/5(C)+32

F=9/5(260)+32

F=468+32

F=500^o