What is the Correct Calculation for Jack's Homemade Temperature Scale?

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In summary, Jack creates his own temperature scale by placing a mercury thermometer in an ice-water bath and recording the mercury level as 20.0S. He then places the thermometer above boiling water and records the mercury level as 170S. Dividing the distance between the two levels into 150 equal lengths, he calculates the reading on a Celsius thermometer to be 95S. However, the correct answer is actually 75C, leading to confusion and a potential error in the equation used to solve the problem.
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Betadine
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Homework Statement



Jack decides to create his own temperature scale. He places an uncalibrated mercury thermometer into an ice-water bath and records the mercury level as 20.0S. He then places the same thermometer above boiling water and records the mercury level as 170S. Finally, he divides the distance between these two levels into 150 equal lengths.

Calculate the reading on a Celsius thermometer when Jack's thermometer reads 95S.

Homework Equations



I used temperature, T = (xT - x0)/(x100 - x0) x 100.

The Attempt at a Solution



My answer is 50C. But the correct answer is 75C. Can anyone kindly help please?
 
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  • #2
Is the problem statement exactly as you've transcribed it?
 
  • #3
By Bystander! Unfortunately, yes. Thanks for replying!
 
  • #4
Your equation (2. Relevant Eqtns.) is incomplete/ambiguous, but your answer is what I get. This has the "look" of problems that are re-cycled from year to year, or class to class, and frequently posted/assigned without proper proof-reading whenever the numbers are changed.
 
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FAQ: What is the Correct Calculation for Jack's Homemade Temperature Scale?

What is thermometry calculation?

Thermometry calculation is the process of measuring and calculating temperature using various techniques and formulas.

Why is thermometry calculation important?

Thermometry calculation is important because temperature is a fundamental property that affects numerous physical and chemical processes. It is also crucial in various industries such as healthcare, manufacturing, and research.

What are the different types of thermometry calculation methods?

There are several types of thermometry calculation methods including mercury thermometers, thermocouples, thermistors, infrared thermometers, and bimetallic strips. Each method has its own advantages and limitations.

How accurate are thermometry calculations?

The accuracy of thermometry calculations depends on the method used and the calibration of the measuring device. Generally, modern thermometers have an accuracy of ±0.1°C while more precise instruments can have an accuracy of ±0.01°C.

Can thermometry calculations be affected by external factors?

Yes, external factors such as humidity, altitude, and atmospheric pressure can affect thermometry calculations. This is why it is important to take these factors into account and calibrate the measuring device accordingly for accurate results.

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