We have to calculate the temperature at which the Fahrenheit and degrees X (°X) units have the same reading on the new X thermometer.
The freezing point and boiling point of water on the new thermometer is:
Freezing point = 12 °X
Boiling point = 129 °X
The freezing point and boiling point of water on the Fahrenheit scale is:
Freezing point = 32 °X
Boiling point = 212 °X
We will solve this problem through these steps:
Step 1: Find a relation between °X and °F.
Step 2: Find the temperature at which both scales give the same reading.
Suppose you have designed a new thermometer called the X thermometer. On the X scale the boiling point of water is 129 oX and the freezing point of water is 12 oX.
At what temperature are the readings on the Fahrenheit and X thermometers the same?