If a nonhuman civilization were to develop on Dionycious\'s (aplanet associated

Question

If a nonhuman civilization were to develop on Dionycious's (aplanet associated with the star Aldebaran) largest moon, Phitan,its scientists might well devise a temperature scale based on theproperties of ethylene, which is much more abundant on the surfacethan water is. The substance ethylene freezes at169.2° C on Phitan, and boilsat 103.2°C. Taking the boilingpoint of ethylene as 100.0°ET (degrees ET, as one would readthe temperature on a thermometer with that scaling) and itsfreezing point as 0°ET, what temperature on the ethylene scale(°ET) corresponds to 1.500 Kon the Kelvin scale?

Explanation / Answer

This is a question of finding the conversion relationship betweenC, K, and ET. Lets just convert everything to K to get thatout of the way. -169.2-273.15= -442.35K -103.2-273.15= -376.35K We know that there is a 100° difference in ET between these twoKelvin temperatures. We can use this to create a relationshipbetween K and ET. -442.35K-(-376.35K)=0ET-100ET So, -66K= -100ET And, 66K/100ET=1 or 100ET/66K=1 Every 66K changes ET by100. 1.5K-(-442.35K)= 443.85K change 443.85K(100ET/66K)= 672.5ET You could also calculate the change from -376.35K, but you wouldneed to add 100ET to the answer because ET temperature is already100ET at -376.35K.

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