First slide
Thermometry
Question

On a hypothetical scale X, the ice point is 400 and the steam point is 1200. For another scale Y the ice point and steam points are –300 and 1300 respectively. If X-reads 500 The reading of Y is

Easy
Solution

Scale    LFP    UFP    Temp
X          400      1200     50
Y        -300       1300     ?
we have \large \left ( \frac {x-LFP}{UFP-LFP} \right )_x=\left ( \frac {y-LFP}{UFP-LFP} \right )_y
\large \frac {50-40}{120-40}=\frac {y+30}{130+30}\Rightarrow y = -10^0

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