Temperature Scale Equivalents This program computes the corresponding temperature equivalents for any given input temperature arguments on the Fahrenheit, Celsius, Kelvin or Rankine scales. ENTER Temperature & Scale ```Equivalents to 0 F = -17.7777777778 C = 255.3722222222 K = 459.67 R ``` Program by Jay Tanner - 2020
 Interconversion Formulas Used The input temperature argument is internally converted into its equivalent on the Kelvin (K) scale and then that value is, in turn, converted into its equivalent on all the other scales and the computed results displayed. Applying the mathematical definition, absolute zero means the absence of all heat, thus there cannot be any negative temperatures on either of the absolute (K or R) scales.  The program will report temperatures that equate to below absolute zero as an error. Let: F = Degrees Fahrenheit C = Degrees Celsius K = Degrees Kelvin (kelvins) = Degrees C above absolute zero R = Degrees Rankine = Degrees F above absolute zero First, the K-scale equivalent of the given temperature is computed according to whichever one of the following formulas apply. Then, the K-scale temperature value equivalents on the other three scales are computed according to the following formulas. ```NOTES ON THE TEMPERATURE SCALES: -------------------- F = Fahrenheit scale Invented by the German-Dutch physicist Gabriel Daniel Fahrenheit in 1724. It is based on the difference between the freezing point and boiling point of water being divided into 180 equal degrees. Ideal freezing point of water = 32 F Ideal boiling point of water = 212 F Plotted on a circle, the freezing and boiling points are opposite each other by ±180 degrees. ----------------- C = Celsius scale Invented by Swedish astronomer Anders Celsius in 1742. It is based on the difference between the freezing point and boiling point of water being divided into 100 equal degrees. Ideal freezing point of water = 0 C Ideal boiling point of water = 100 C ---------------- K = Kelvin Scale Named after the British mathematician and physicist William Thomson Kelvin, who first proposed it in 1848. It is commonly used in advanced scientific computations. It is often referred to as the absolute temperature scale. The absolute K scale is measured in Celsius degrees from the absolute zero point. Absolute zero refers to the theoretical temperature at which molecular energy is at a minimum or theoretically, the lowest possible temperature in nature. On the K scale, there is no such thing as a negative temperature value. Ideal freezing point of water = 273.15 K Ideal boiling point of water = 373.15 K ----------------- R = Rankine Scale Named after the Scottish engineer and physicist William John Macquorn Rankine, who first proposed it in 1859. The absolute R scale is measured in Fahrenheit degrees from the absolute zero point. Absolute zero refers to the theoretical temperature at which molecular energy is at a minimum or theoretically, the lowest possible temperature in nature. On the R scale, there is no such thing as a negative temperature value. Ideal freezing point of water = 491.67 R Ideal boiling point of water = 671.67 R -------------------------- Absolute zero equivalents: 0.00 K = 0.00 R = -273.15 C = -459.67 F ------------------------------------------------------ The ratio of Celsius to Fahrenheit degrees is 5 to 9. This means that a temperature difference of 5 degrees on the Celsius scale is equivalent to a difference of exactly 9 degrees on the Fahrenheit scale. This is the source of the ratios 5/9 and 9/5 used in the interconversion formulas. ------------------------------------------------------ The Fahrenheit and Celsius scales are numerically identical only at -40 degrees, while the Kelvin and Rankine scales are numerically identical only at absolute zero. ``` Jay Tanner - 2020