contestada

Suppose you have designed a new thermometer called the x thermometer. on the x scale the boiling point of water is 129 ∘x and the freezing point of water is 12 ∘x. part a at what temperature are the readings on the fahrenheit and x thermometers the same? express your answer using two significant figures.

Respuesta :

For any temperature scale the ratio of difference of temperature will be same

so we can write

[tex]\frac{T^ox - 12^ox}{129^ox - 12^ox} = \frac{T^of - 32^of}{212^of - 32^of}[/tex]

now given that in both scales the temperature must be same

[tex]\frac{T^ox - 12^ox}{117^ox} = \frac{T^of - 32^of}{180^of}[/tex]

[tex]T - 12 = 0.65 (T - 32)[/tex]

[tex]0.35T = -8.8[/tex]

[tex]T = -25.14 ^ox[/tex]

so at above temperature both scales will have same temperature

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