Chapter U3, Problem C10.1RE

Interpretation Introduction

Interpretation: The temperature in degree Fahrenheit needs to be converted to the 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 C10.1RE

283.15 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 50 ^oF. It can be converted into Kelvin as follows:

  $\left(50°F -32\right)\left(\frac{5}{9}\right)+273.15=x$

Or,

  $\begin{array}{l}18\left(\frac{5}{9}\right)+273.15=x\\ 10+273.15=x\end{array}$

Thus,

  $x=283.15\text{ K}$

Conclusion

Thus, the temperature 50 ^oF is equal to 283.15 K