Question

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

Answer 1

The relation between the ${}^{\circ }F$ and ${}^{\circ }C$ is given as:

$F=\frac{9C}{5}+32$

Simplifying the above expression:

$\begin{array}{c}68<\frac{9c}{5}+32<77\\ 36<\frac{9c}{5}<45\\ 4<\frac{c}{5}<5\\ 20<c<25\end{array}$

Thus, the temperature range in degree Celcius will be ${20}^{\circ }C-{25}^{\circ }C$.