(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The length of a mercury (Hg) column in a glass thermometer is 15,00 cm when the thermometer is in contact with water at it's triple point (vapor-liquid-solid equilibrium) or 0,01 Celsius. Consider the length of the column as a thermometric property "X" and the empiric temperature measured by this thermometer as [tex]\theta[/tex].

(a) Find the empiric temperature when the length of the Hg column is 19,00 cm

(b) If this thermometer has an accuracy of 0,01 cm, can it distinguish the normal freezing temperature of the water and the triple point?

2. Relevant equations

None given by the problem.

3. The attempt at a solution

(a)I have absolutely no idea where to start, all I know is that we could think of this problem as a dilation problem, so that we could use

[tex]\alpha = \frac{1}{L}(\frac{\partial L}{\partial T})_F [/tex]

Or,

[tex]L = L_0(1 + \alpha (\theta_f - \theta_i)) [/tex]

But I don't see how I could use them, so I suppose they are not needed? And in this case what should I do?

(b) I suppose so, as the triple point is about 0,01 Celsius and the accuracy is up to 0,01 Celsius, it can distinguish, so yes. Correct?

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# Homework Help: Thermodynamics, Dilation.

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