Consider a new temperature scale (ºE) based on the melting and boiling points of ethanol (C2H5OH) which are taken as 0.0 ºE and 100.0 ºE, respectively. On the Celsius scale ethanol melts at –114.1 ºC and boils at 78.2 ºC. Find the temperature in ºE that corresponds to 22.3 ºC?

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pstnonsonjoku pstnonsonjoku · Answer 1 · 2022-08-24T20:48:26+02:00

The temperature in the new scale is 71.4 ºE.

Now we know that a thermometer has two fixed points, the upper fixed points and the lower fixed point.

Our concern is to obtain the temperature on the ºE scale tat would correspond to22.3 ºC on the Celsius scale thus we can write;

23 - (–114.1)/78.2 - (–114.1) = X - 0/100 - 0

We have designated the unknown temperature as X

137.1/192.1 = X/100

100 * 137.1 = 192.1 X

X = 100 * 137.1/192.1

X = 71.4 ºE

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