Chapter U3, Problem 2RE

Interpretation Introduction

Interpretation: The temperature in degree Fahrenheit needs to be converted to Kelvin scale.

Concept Introduction:

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

  $\left(32°F -32\right)\left(\frac{5}{9}\right)+273.15=273.15K$

Here, K is Kelvin and ^oF is degree Fahrenheit.

Answer to Problem 2RE

269.3 K

Explanation of Solution

The relation between two scales is as follows:

  $\left(32°F -32\right)\left(\frac{5}{9}\right)+273.15=273.15K$

The given temperature is 25 ^oF. It can be converted into Kelvin as follows:

  $\left(25°F -32\right)\left(\frac{5}{9}\right)+273.15=x$

Or,

  $\begin{array}{l}\left(25°F -32\right)\left(\frac{5}{9}\right)+273.15=x\\ \left(-7\right)\left(\frac{5}{9}\right)+273.15\\ -3.8+273.15=x\end{array}$

Or,

  $x=269.3\text{ K}$

Conclusion

Thus, the temperature 25 ^oF is equal to 269.3 K