   Chapter 10, Problem 10P

Chapter
Section
Textbook Problem

Temperature differences on the Rankine scale are identical to differences on the Fahrenheit scale, but absolute zero is given as 0°R. (a) Find a relationship converting the temperatures TF of the Fahrenheit scale to the corresponding temperatures TR of the Rankine scale. (b) Find a second relationship converting temperatures TR of the Rankine scale to the temperatures TK of the Kelvin scale.

(a)

To determine
The relationship between Fahrenheit scale and Rankine scale.

Explanation

Given Info: At absolute zero, TR=0οR .

Since the temperature differences on Fahrenheit and Rankine scales are identical,

TR=TF+k      (I)

• k is a constant.

Formula to calculate the temperature on Fahrenheit scale is,

TF=95[(T)οC]+32ο       (II)

• T is the temperature.

At absolute zero, (T)οC=273.15K .

Substitute 273.15K for (T)οC in Equation (II) to get TF .

TF=95[273

(b)

To determine
The relationship between Kelvin scale and Rankine scale.

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