Problem: 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?

FREE Expert Solution

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.

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Problem Details

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?