Find Temperature Formula for Varying Thermometer

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To determine the temperature from a varying thermometer, a linear relationship is often used, expressed as T = k.x + a, where T is temperature, k is a constant, x is the measured property (like pressure), and a is a baseline value. For example, if a pressure of 10 mmHg corresponds to 0°C, the formula can be adjusted to find the pressure at other temperatures, such as 50°C. Understanding the specific constants and baseline values is crucial for accurate calculations. This formula assumes a linear relationship between temperature and the property being measured. Accurate application of this equation allows for temperature determination across varying conditions.
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Homework Statement



What is the formula that allows you to find the temperature of any given thermometer that varies its temperature with some property? For example is a pressure of 10mmHg means 0degC, what would the pressure be at 50degC?

Homework Equations



This is what I'm looking for. I used to know the equation but I've completely forgotten.

The Attempt at a Solution


I don't want the answer to my question, just the formula.
 
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slaw155 said:
What is the formula that allows you to find the temperature of any given thermometer that varies its temperature with some property? For example is a pressure of 10mmHg means 0degC, what would the pressure be at 50degC?
You are probably looking for a proportionality relationship, assuming the relation remains linear. Most linear relationships take the general form:

T = k.x + a
 
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