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, = +14.0°P and P, = +125°P correspond to the melting point of ice and boiling point of water respectively on the Paul scale, while s, = -9.00°S and s, = +75.0°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. Boiling point P2 - - S2 Melting point P1 - Paul Simon (a) How many degrees on the Simon scale correspond to 1°P on the Paul scale? 1°P = (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 = os
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, = +14.0°P and P, = +125°P correspond to the melting point of ice and boiling point of water respectively on the Paul scale, while s, = -9.00°S and s, = +75.0°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. Boiling point P2 - - S2 Melting point P1 - Paul Simon (a) How many degrees on the Simon scale correspond to 1°P on the Paul scale? 1°P = (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 = os
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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. \( P_1 = +14.0^\circ P \) and \( P_2 = +125^\circ P \) correspond to the melting point of ice and boiling point of water respectively on the Paul scale, while \( S_1 = -9.0^\circ S \) and \( S_2 = +75.0^\circ S \) 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.
**Diagram Explanation:**
- The diagram consists of two vertical thermometers labeled "Paul" and "Simon".
- Both thermometers have two marked points: the lower mark indicates the "Melting point" and the upper mark indicates the "Boiling point".
- For Paul:
- \( P_1 \): Melting point at \( +14.0^\circ P \)
- \( P_2 \): Boiling point at \( +125^\circ P \)
- For Simon:
- \( S_1 \): Melting point at \( -9.0^\circ S \)
- \( S_2 \): Boiling point at \( +75.0^\circ S \)
**Questions:**
(a) How many degrees on the Simon scale correspond to \( 1^\circ P \) on the Paul scale?
\( 1^\circ P = \) \[ \boxed{\rule{2cm}{0.15mm}} \] \( \,^\circ S \)
(b) If a particular temperature measurement reads \( +50.0^\circ P \) on the Paul scale, what would this same temperature measurement read on the Simon scale?
\( T_S = \) \[ \boxed{\rule{2cm}{0.15mm}} \] \( \,^\circ S \)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9203a303-d0a7-4a72-8bbd-2a7378a7da0a%2F237f7754-0148-4955-ba27-4db50f54bafc%2Fkdumwlx_processed.png&w=3840&q=75)
Transcribed Image Text: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. \( P_1 = +14.0^\circ P \) and \( P_2 = +125^\circ P \) correspond to the melting point of ice and boiling point of water respectively on the Paul scale, while \( S_1 = -9.0^\circ S \) and \( S_2 = +75.0^\circ S \) 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.
**Diagram Explanation:**
- The diagram consists of two vertical thermometers labeled "Paul" and "Simon".
- Both thermometers have two marked points: the lower mark indicates the "Melting point" and the upper mark indicates the "Boiling point".
- For Paul:
- \( P_1 \): Melting point at \( +14.0^\circ P \)
- \( P_2 \): Boiling point at \( +125^\circ P \)
- For Simon:
- \( S_1 \): Melting point at \( -9.0^\circ S \)
- \( S_2 \): Boiling point at \( +75.0^\circ S \)
**Questions:**
(a) How many degrees on the Simon scale correspond to \( 1^\circ P \) on the Paul scale?
\( 1^\circ P = \) \[ \boxed{\rule{2cm}{0.15mm}} \] \( \,^\circ S \)
(b) If a particular temperature measurement reads \( +50.0^\circ P \) on the Paul scale, what would this same temperature measurement read on the Simon scale?
\( T_S = \) \[ \boxed{\rule{2cm}{0.15mm}} \] \( \,^\circ S \)
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