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Chapter 16: Problem 3

Compare the relative sizes of the kelvin, the degree Celsius, the degree Fahrenheit, and the degree Rankine.

Short Answer

Expert verified
Fahrenheit degrees are larger than Celsius and Kelvin degrees but smaller than Rankine degrees. Celsius and Kelvin degrees have the same size, while Rankine and Fahrenheit degrees have the same size. But Fahrenheit and Rankine scales are offset by a constant value from the Celsius and Kelvin scales, respectively.

Step by step solution

01

Kelvin to Celsius Conversion

The Kelvin and Celsius scales have the same magnitude, and they differ only by a constant. The relation is \(C = K - 273.15\), where \(C\) is temperature in Celsius and \(K\) is temperature in Kelvin.
02

Celsius to Fahrenheit Conversion

The relationship between Celsius and Fahrenheit is \(F = 9/5 * C + 32\), where \(F\) is temperature in Fahrenheit and \(C\) is temperature in Celsius. Fahrenheit degrees are 1.8 times larger than Celsius degrees.
03

Fahrenheit to Rankine Conversion

The relationship between Fahrenheit and Rankine scales is given by \(R = F + 459.67\), where \(R\) is temperature in Rankine and \(F\) is Fahrenheit. Just like Kelvin and Celsius scales, the Fahrenheit and Rankine scales have the same magnitude and differ only by a constant.
04

Comparison of Temperature Scales

When comparing the sizes, Fahrenheit degrees are larger than Celsius and Kelvin degrees, but smaller when compared to Rankine.

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