Question

A new linear temperature scale, degrees Zunzol ( ∘Z ), is based on the freezing point and boiling point of a newly discovered compound zunzol. The freezing point of zunzol, −117.3 ∘C, is defined as 0 ∘Z, and the boiling point of zunzol, 78.4 ∘C, is defined as 100 ∘Z. What is the freezing point of water in degrees Zunzol?

Answer 1

The boiling point of water in Zunzol is 59.9∘Z.

What are fixed points?

A thermometer must have two fixed points, the upper fixed points and the lower fixed point. The upper fixed point corresponds to the boiling point while the lower fixed point corresponds to the melting point.

Having that;

x - 0/100 = 0 - (-117.3)/78.4 - (-117.3)

x/100 = 117.3/195.7

195.7x = 117.3 * 100

x = 117.3 * 100/195.7

x = 59.9∘Z

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