Another thermal expansion problem

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Homework Help Overview

The problem involves a vertical glass tube partially filled with a liquid, examining how the height of the liquid column changes when the temperature is increased. It pertains to the concepts of thermal expansion for both the glass and the liquid.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • The original poster questions the relevance of the tube's length and radius in determining the height change of the liquid, suggesting that the internal volume is more critical. Other participants discuss the implications of the tube's circumference and propose calculations involving volume and area changes for both the tube and the liquid.

Discussion Status

Participants are exploring different interpretations of how the dimensions of the tube affect the problem. Some have provided insights into the relationships between thermal expansion coefficients, while others are sharing specific calculations. There is no explicit consensus on the approach yet.

Contextual Notes

There is a lack of information regarding the radius of the tube, which some participants suggest is necessary for a complete understanding of the problem. The discussion is framed within the constraints of a homework assignment, which may limit the depth of exploration.

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Homework Statement



A vertical glass tube of length L = 1.2800000 is half-filled with a liquid at 20.0000* C. How much will the height of the liquid column change when the tube is heated to 30.0000*C?

Glass linear expansion co = 1e-5/K
Liquid volume expansion co = 4e-5/K

Homework Equations





The Attempt at a Solution



I don't understand why the length of the tube matters other than as giving me the initial height of the liquid. Shouldn't I be given the radius of the tube instead? How far the length of the tube grows has absolutely no effect on how much the height of the liquid changes, but the space within the tube does..
 
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The circumference of the tube will change. Hope this helps
 
The length of the tube doesn't matter nor does its radius (cancels out). It looks like you will need to calculate the Δ length the tube and liquid by ΔV/ΔA for each independently. Remember that γ=2α and β=3α. I am guessing that ΔV/ΔA for liquid will be greater than ΔV/ΔA for the tube.
 
I got ΔL = 0.14mm. Do you have an answer?
 

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