Chapter U3, Problem 6STP

Interpretation Introduction

Interpretation:

The temperature in units of Kelvin needs to be calculated given a Fahrenheit value of -50 F.

Concept introduction:

Temperature is a physical property of a system which is indicative of the energy of motion of particles of the system.

It is expressed in units of degrees Celsius (°C), Kelvin (K) and Fahrenheit (F)

Unit conversions:

To convert Fahrenheit to Celsius: ${\text{T}}_{\text{C }}=\frac{{\text{T}}_{\text{F}}-32}{1.8}$ ------------------ (1)

To convert Fahrenheit to Kelvin: ${\text{T}}_{\text{K }}=\left[\frac{{\text{T}}_{\text{F}}-32}{1.8}\right]+273$ --------- (2)

To convert Celsius to Kelvin: ${\text{T}}_{\text{K }}{\text{= T}}_{\text{C}}\text{ + 273 ------(3)}$

Answer to Problem 6STP

(C) 227 K.

Explanation of Solution

Given:

Temperature in F = -50°F

Calculation:

Based on equation (2):

$\begin{array}{l}{\text{T}}_{\text{K }}=\left[\frac{{\text{T}}_{\text{F}}-32}{1.8}\right]+273\\ =\left[\frac{-50-32}{1.8}\right]+273=227\text{ K}\end{array}$

Conclusion

Thus, the average temperature at the top of Mount Denali is 227 K.