5. Joe Smith, an old-fashioned engineering student, believes that the boiling po

Question

5. Joe Smith, an old-fashioned engineering student, believes that the boiling point 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, he has proposed a new absolute temperature scale that he calls the Smith scale. The temperature unit on this scale is smith, denoted by S, and the boiling point of water on this scale is assigned to be 1000 S. Determine the ice point of water on the Smith scale and obtain a relation between the Smith and Celsius scales.

Explanation / Answer

Ice point is a point where both ice and water coexist at atmospheric pressure in a thermal state. The normal ice point of water is 0o C (C is for Celsius)

We know the normal boiling point of water is 100o C

Now according to the new scale proposed, known as the smith scale denoted by S, the boiling point is 1000 S.

So the relation between smith scale to C is 10 times greater value.

Thus, the ice point of water according to this assumption will becomes 10 S (smith scale)

The relation between the Smith and celsius sclae would be,

1 Smith = 10 Celsius

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