Alcohol thermometers can measure temperatures in the range of –100 °F to 200 °F. Determine the temperature at which an alcohol thermometer with a Fahrenheit scale will read the same number as a thermometer with a Celsius scale will.
What will be an ideal response?
The relationship between a temperature reading in degree Fahrenheit and degree
Celsius is given by:
In this problem, we are looking for a temperature at which a thermometer with
Fahrenheit scale and a thermometer with Celsius scale will read the same number.
That is T(°F)= T(°C)= T . Substituting for T(°F) and T(°C) in the above
equation and simplifying, we get
5T = 9T + (5)(32)
T = -40
Therefore, -40°F = -40°C.
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