Answer
The thermometer won't serve the purpose, since the minimal temperature range (234 $^{\circ}$F) is not visible on the thermometer
Work Step by Step
T($^{\circ}$C) = $\frac{5}{9}$ * [T($^{\circ}$F) - 32]
T($^{\circ}$C) at 234 $^{\circ}$F:
T($^{\circ}$C) = $\frac{5}{9}$ * [234 - 32]
T($^{\circ}$C) = $\frac{5}{9}$ * [202]
T($^{\circ}$C) = 112.2222222 $^{\circ}$C
Rounding to 3 significant figures gives 112 $^{\circ}$C
The minimal temperature range (234 $^{\circ}$F) is not visible on the thermometer, since 112 $^{\circ}$C is higher than 110 $^{\circ}$C. Therefore the thermometer won't serve the purpose.
