What Are Water's Freezing and Boiling Points on a Benzene-Based Scale?

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To convert water's freezing and boiling points to a benzene-based temperature scale, first understand that the scale ranges from 5.5°C (freezing point of benzene) to 80.1°C (boiling point of benzene) over 50 units (X). The temperature difference between these points is 74.6°C. Each unit (X) represents 1.492°C (74.6°C divided by 50). Therefore, water's freezing point (0°C) converts to approximately -3.4 X, and its boiling point (100°C) converts to approximately 63.4 X on this new scale. This conversion illustrates the relationship between different temperature scales.
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Homework Statement


If a temperature scale were based on the freezing point (5.5 C) and boiling point (80.1 C) of benzene and the temperature difference between these points was divided into 50 units (called X), what would be the freezing and boiling points of water in X?


Homework Equations


No idea


The Attempt at a Solution


What does this question even mean? Please help!
 
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It is about converting between different temperature scales. You are told how the new scale is constructed - its zero is at 5.5 deg C, there are 50 X between 5.5 and 80.1 deg C. You have to find out a way of converting between deg C and X, just like you convert between F and C.
 
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