A faulty thermometer records a reading of 4^ C in melting ice. When the true temperature of a bath is 60^ C , this thermometer reads 58^ C . The reading of the faulty thermometer in boiling water is ______ ^ C .

Step-by-step solution

Let the reading of the faulty thermometer in boiling water (Upper Fixed Point) be U . Using the principle of linear interpolation for temperature scales, we have: T_ faulty - LFP U - LFP = T_ true - 0 100 - 0 Substitute the given values: 58 - 4 U - 4 = 60 100 54 U - 4 = 3 5 U - 4 = 54 5 3 U - 4 = 90 U = 94^ C Answer: 94