Chapter 10, Problem 206A

Interpretation Introduction

Interpretation:

Whether a Celsius scale with range of -10 to 110°C can be used to measure a temperature of 236°F or not needs to be explained.

Concept introduction:

The relation between two scales is as follows:

$\frac{\text{C}}{\text{5}}\text{=}\frac{\text{F-32}}{\text{9}}\text{.}$

Here C and F stand for temperatures in Celsius scale and Fahrenheit scale respectively.

Answer to Problem 206A

A Celsius scale thermometer can’t be used to measure the temperature of 236°F.

Explanation of Solution

Temperature in Fahrenheit scale is 236°F.

Upper limit of Celsius scale thermometer is 110°C.

Now putting the value of Fahrenheit temperature,

$\begin{array}{l}\frac{\text{C}}{\text{5}}\text{=}\frac{\text{236-32}}{\text{9}}\text{.}\\ \text{Or, 9C=5×204}\\ \text{Or, C=}\frac{\text{5×204}}{\text{9}}\text{=}\frac{\text{1020}}{\text{9}}\text{=113}\text{.33}\text{.}\end{array}$

As the temperature is higher than the upper limit of Celsius scale temperature, so 236°F (equivalent to 113.33°C) can’t be measured with a Celsius scale temperature with a range of -10 to 110°C.

Conclusion

Thus, a Celsius scale thermometer can’t be used to measure the temperature of 236°F.