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Thermometer A and B have different ice and steam points. Thermometer A has an ice point marked at 15° and a steam point marked at 75°, while thermometer B has an ice point marked at 25° and a steam point marked at 125°.
To determine the reading of B for the same bath when thermometer A measures the temperature as 60°, we can use the concept of linear interpolation.
First, we calculate the difference between the ice point and steam point for both thermometers. For thermometer A, the difference is 75° - 15° = 60°. For thermometer B, the difference is 125° - 25° = 100°.
Then, we calculate the proportional relationship between the temperature difference and the actual measured temperature for thermometer A. In thermometer A, the measured temperature of 60° represents 60° / 60° = 1 proportion of the temperature difference.
Finally, we apply the proportional relationship to the temperature difference of thermometer B. Since the measured temperature of 60° on thermometer A represents 1 proportion of the temperature difference, it would also represent the same proportion on thermometer B. Thus, the reading of B for the same bath is 1 proportion of