What Celsius Value of Absolute Zero Does the Calibration Yield?

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SUMMARY

The calibration of a constant-volume gas thermometer using dry ice at -80.0°C and boiling ethyl alcohol at 78.0°C yields a Celsius value of absolute zero at -273.47°C. The calculation employs the formula T = T1 - (p1 * (T2 - T1) / (P2 - P1)), where T1 and T2 are the temperatures of the calibration points, and P1 and P2 are their corresponding pressures. This method demonstrates the accuracy of constant-volume thermometers across a wide temperature range.

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  • Understanding of gas laws and thermodynamic principles.
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  • Knowledge of pressure and temperature relationships in gas thermometers.
  • Proficiency in using mathematical equations for temperature conversion.
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Homework Statement



A constant-volume gas thermometer is calibrated in dry ice (that is, carbon dioxide in the solid state, which has a temperature of -80.0°C) and in boiling ethyl alcohol (78.0°C). The two pressures are 0.861 atm and 1.569 atm.
(a) What Celsius value of absolute zero does the calibration yield? (Express your answer to the nearest 0.01°C.)
°C:eek:

Homework Equations



So I'm given this T= T1-p1X(T2-T1/P2-P1)= -273.47

The Attempt at a Solution



I understand the equation and it works with the values that are given however i don't get what exactly the question is looking for if someone can clear it up i would really appreciate it :shy:
 
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well, most other kinds of thermometers have a specific range, outside of which they would be inaccurate. i think the question just wants to show that const vol thermometers are accurate over a wide range.

anyhow, i did some googling and came up with this. http://www.ux1.eiu.edu/~cfadd/1360/19Temp/Absolute.html
 

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