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As part of their end of semester project, students in a science class are asked to devise a temperature scale. The diagram below shows the work of two of the students Paul and Simon. P1 = +12.0°P and P2 = +110°P correspond to the melting point of ice and boiling point of water respectively on the Paul scale, while S1 = -9.00°S and S2 = +80.0°S correspond to the melting point of ice and boiling point of water on the Simon scale. Assume that each division represents a degree on both scales.
(a) How many degrees on the Simon scale correspond to 1°P on the Paul scale? 1°P = °S
(b) If a particular temperature measurement reads +50.0°P on the Paul scale, what would this same temperature measurement read on the Simon scale? TS = °S
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