Chapter 3.3, Problem 39SP

Interpretation Introduction

Interpretation : The temperature increase in the Fahrenheit scale is to be calculated.

Concept Introduction : An equivalent measurement ratio is referred to as a conversion factor. An effective approach for resolving conversion problems where measurement in one unit is changed to an equivalent measurement in another is dimensional analysis.

Answer to Problem 39SP

The temperature increase in the Fahrenheit scale is ${86.4}^{\circ }\text{F}$ .

Explanation of Solution

Given information :

The relation between Celsius and Fahrenheit is ${1.00}^{\circ }\text{C}\text{=}\text{1}{\text{.80}}^{\circ }\text{F}$ .

An equivalent measurement ratio is referred to as a conversion factor. An effective approach for resolving conversion problems where measurement in one unit is changed to an equivalent measurement in another is dimensional analysis.

The relation between Celsius and Fahrenheit is $\frac{\text{1}{\text{.80}}^{\circ }\text{F}}{{1.00}^{\circ }\text{C}}$ .

The temperature increases by ${48.0}^{\circ }\text{C}$

then the Fahrenheit temperature is calculated as follows:

  $\frac{\text{1}{\text{.80}}^{\circ }\text{F}}{{1.00}^{\circ }\text{C}}\times {48.0}^{\circ }\text{C}\text{=}\text{86}{\text{.4}}^{\circ }\text{F}$

Conclusion

The temperature increase in the Fahrenheit scale is ${86.4}^{\circ }\text{F}$ .