Question

A solution is to be kept between ${68}^{o}F$ and ${77}^{o}F$ . What is the range in temperature in degree Celsius (C) if the Celsius / Fahrenheit (F) conversion formula is given by $F=\frac{9}{5}C+32?$

Answer 1

We have, $F=\frac{9}{5}C+32\Rightarrow C=\frac{5}{9}(F-32)$
Now at $F={68}^o,C=\frac{5}{9}(68-32)=\frac{5}{9}\left(36\right)=20$
and at $F={77}^o,C=\frac{5}{9}(77-32)=\frac{5}{9}\left(45\right)=25$
Hence range of temperature in degree Celsius is $[{20}^{o}C,{25}^{o}C]$