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The Rankine temperature scale (abbreviated °R) uses the

An Introduction to Thermal Physics | 1st Edition | ISBN: 9780201380279 | Authors: Daniel V. Schroeder ISBN: 9780201380279 40

Solution for problem 2P Chapter 1

An Introduction to Thermal Physics | 1st Edition

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An Introduction to Thermal Physics | 1st Edition | ISBN: 9780201380279 | Authors: Daniel V. Schroeder

An Introduction to Thermal Physics | 1st Edition

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Problem 2P

The Rankine temperature scale (abbreviated °R) uses the same size degrees as Fahrenheit, but measured up from absolute zero like kelvin (so Rankine is to Fahrenheit as kelvin is to Celsius). Find the conversion formula between Rankine and Fahrenheit, and also between Rankine and kelvin. What is room temperature on the Rankine scale?

Step-by-Step Solution:

Step 1 of 4</p>

Rankine temperature is also an absolute temperature scale which is similar to the kelvin scale temperature, but instead it's measured in Fahrenheit degrees from the absolute zero point.

Absolute temperature refers to the lowest possible temperature in nature, so there is no negative temperature value in Rankine scale.

Step 2 of 4</p>

The relation between Fahrenheit and Rankine can be written as,

                                        

Where is Rankine scale,  is Fahrenheit scale and c is constant.

To evaluate constant ,using zero scale of both kelvin and Rankine scale is same.

The zero kelvin is equal to -459.67 . Therefore by definition, when  the Rankine scale reads

Above equation becomes,                                 

                

                                                

Equation reduces to,

                                        ………...1

Step 3 of 4

Chapter 1, Problem 2P is Solved
Step 4 of 4

Textbook: An Introduction to Thermal Physics
Edition: 1
Author: Daniel V. Schroeder
ISBN: 9780201380279

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The Rankine temperature scale (abbreviated °R) uses the