Chapter U3.4, Problem 4E

Interpretation Introduction

Interpretation: Whether the 0^oC temperature is equal to 0^oF temperature or not needs to be explained.

Concept Introduction:

The degree Celsius and degree Fahrenheit are scales of measuring temperature. The relation between two scales is as follows:

  $\left(0°C \times \frac{9}{5}\right)+32=32°F$

Here, ^oC is degree Celsius and ^oF is degree Fahrenheit.

Answer to Problem 4E

,The 0^oC temperature and 0^oF temperature are not same.

Explanation of Solution

The relation between two scales is as follows:

  $\left(0°C \times \frac{9}{5}\right)+32=32°F$

Thus, if the temperature is 0^oC it will be equal to 32 ^oF.

Now, the 0^oF into ^oC can be determined as follows:

  $\left(0°C \times \frac{9}{5}\right)+32=32°F$

Or,

  $\begin{array}{l}\left(x°C \times \frac{9}{5}\right)+32=0°F\\ x=\frac{5}{9}\left(0-32\right)=-17.78°F\end{array}$

Thus, the 0^oC temperature and 0^oF temperature are not same.

Conclusion

Thus, the 0^oC temperature and 0^oF temperature are not same.