Mercury thermometer temperature problem

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Homework Help Overview

The discussion revolves around a problem involving a mercury thermometer, specifically the relationship between the length of the mercury column and temperature. The original poster seeks assistance in determining the temperature corresponding to a 6.0 cm mercury column length, given that it measures 5 cm at the triple point of water.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the linear expansion formula and the coefficient of linear expansion for mercury. There are questions about the accuracy of temperature references and the implications of missing dimensions, such as the radius of the thermometer's cylinder.

Discussion Status

Participants are exploring various interpretations of the problem, including clarifying the definition of the triple point and its associated temperature. Some guidance has been offered regarding the linear expansion formula, but there is no explicit consensus on the next steps or methods to apply.

Contextual Notes

There is uncertainty regarding the temperature at the triple point, as well as the lack of specific dimensions for the thermometer's bulb. Participants are also questioning the terminology used in the problem, particularly concerning the distinction between steam and water vapor.

robgb
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The length of the mercury coloumn in a mercury thermometer is 5cm when the bulb is immersed in water at the triple point (273.16k). What is the temperature if it reads 6.0cm? What will the length of coloum be if immersed in boiling water (at steam point)?

I'm new to this forum, but would really appreciate any help you guys can give (need help asap!).

I've tried using pv = nKT etc, but can't apply it. All your hints would be welcome!
 
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You want to examine the "linear expansion" formula. (since no dimension was given for "the bulb" I'm assuming that it's just one end of the colum and volumetric expansion is not necessary) You'll have to look up the coefficient of linear expansion for mercury.

edit: did the problem really say "triple point"? Nevermind, only the temperatures are important.
 
Hi,

Yes, in the question it didn't actually mention the temperature, just that it was the triple point.
Its supposed to be a pretty basic thermal physics question, any ideas what formula I would need to use?

Thanks, rob.
 
OK, the triple point is at a certain temperature, but it's not 273 K (that's the melting/freezing point). FInd that temperature and determine the "delta" T between each situation. Have you found the linear expansion formula yet?
 
Ok, thanks guys.
I'm still unsure as to where to go from here.

Any chance of a worked example anyone?

Please!

Thanks, rob.
 
The triple point of water has to be very near freezing. To get ice, liquid water and steam to exist in equilibrium

Wouldn't it be more accurate to speak of water vapour rather then steam?
 
Water vapour is liquid water in small droplets. Steam is the correct term for gaseous H2O.

By the way, I still don't see how you can calculate the change in height of the column if you don't now the radius of the cylinder.
 

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