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As part of their end of semester project, students in a science class are asked

ID: 1642274 • Letter: A

Question

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. P_1 = +16.0 degree P and P_2 = +110 degree P correspond to the melting point of ice and boiling point of water respectively on the Paul scale, while s_1 = -9.00 degree s and s_ 2= +75.0 degree 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 degree p on the Paul scale? (b) It a particular temperature measurement reads +47.5 degree p on the Paul scale, what would this same temperature measurement read on the Simon scale?

Explanation / Answer

Part a).

since boiling point of water is 1100p at paul scale

and 750S at simon scale

so 1100p=750S

so 10p=(75/110)0S=0.6820S

10p=0.6820S

Part b).

temperature at paul scale,Tp=+47.50p

so TS=(0.682)(47.5)=32.390S

so TS=32.390S