Constant-volume gas thermometer

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Homework Help Overview

The problem involves a constant-volume gas thermometer, with given pressures at two temperatures (0.811 atm at 100°C and 0.5 atm at 0°C). The questions focus on determining the temperature corresponding to a specific pressure (0.656922 atm) and the pressure at a higher temperature (138°C).

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss using the provided pressures and temperatures to establish relationships, questioning how to apply the ideal gas law given the non-ideal behavior of the gas.

Discussion Status

Some participants suggest using the two known points to derive a linear relationship, while others express concerns about the gas's deviation from ideal behavior affecting the calculations. There is no explicit consensus on the best approach yet.

Contextual Notes

Participants note the challenge posed by the gas not behaving ideally, which may complicate the application of the ideal gas law. The need to resolve part A before addressing part B is also mentioned.

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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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