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?

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Energy, Heat and Temperature concept. You can view video lessons to learn Energy, Heat and Temperature. Or if you need more Energy, Heat and Temperature practice, you can also practice Energy, Heat and Temperature practice problems.