Question

Jane Smith, an old-fashioned engineering student, believes that the boiling of water is best suited for use as the reference point on temperature scales. Unhappy that the boiling point corresponds to some odd number in the current absolute temperature scales, she has proposed a new absolute temperature scale that she calls the Smith scale. The temperature unit on this scale is smith, denoted by S, and the boiling of water on this scale is assigned to be 1000 S. From a thermodynamic point of view, discuss if it is an acceptable temperature scale. Also, determine the freezing point of water in the Smith scale and obtain a relation between the Smith and the Celsius scales

Answer 1

From a Thermodynamic Point of View there is no. Problem in defining a new scale as long as both Freezing and Bailing point are denoted and the no of divisions between them are clearly denoted. \r\n IF 373 K implies 1000 S 273 K implies 1000/373 times 273 S = 731.9 S almostequalto 732 S = freezing point of water in smith scale Relation S - 732/1000 - 732 = c - 0/100 - 0 or, S - 732/268 = C/100 or, S - 732/67 = C/25