Constant-volume gas thermometer

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SUMMARY

The discussion centers on solving problems related to a constant-volume gas thermometer, specifically determining temperature at a given pressure and pressure at a specific temperature. The pressures provided are 0.811 atm at 100°C and 0.5 atm at 0°C. The key equation used is the gas law relationship P1/T1 = P2/T2. Participants noted that the gas may not behave ideally, suggesting a linear relationship between the two data points for accurate calculations.

PREREQUISITES
  • Understanding of gas laws, specifically the relationship between pressure and temperature.
  • Familiarity with the concept of constant-volume gas thermometers.
  • Basic algebra skills for solving equations.
  • Knowledge of ideal versus non-ideal gas behavior.
NEXT STEPS
  • Study the derivation and application of the gas law equation P1/T1 = P2/T2.
  • Research the behavior of real gases compared to ideal gases.
  • Explore linear interpolation techniques for data points in thermodynamic calculations.
  • Learn about the calibration of constant-volume gas thermometers.
USEFUL FOR

Students in physics or engineering courses, educators teaching thermodynamics, and professionals working with gas measurement instruments.

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Homework Statement



The pressure in a constant-volume gas ther-
mometer is 0.811 atm at 100◦C and 0.5 atm
at 0◦C.

A) What is the temperature when the pressure
is 0.656922 atm?
Answer in units of ◦C.

B) What is the pressure at 138◦C?
Answer in units of atm.


Homework Equations



well I know that P1/T1=P2/T2 but I don't know how to go about it since two pressure and temperatures are given so I don't know the formula to find the third.

for part B I figured I would have to get part A before attempting the second part.


The Attempt at a Solution

 
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They gave you the pressures at two temperatures. You can use either one as P1 and T1.

I mean P1 and the corresponding T1 that is.
 
I think the main problem is that the gas differs from ideal behaviour and by a substantial amount.Using the given data P/T is nowhere near constant.
 
Then it is likely that some sort of linear relationship should be found using the two points.
 

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