Problem with Thermal expansion: volume

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SUMMARY

The discussion focuses on calculating the percentage change in density of lead when its temperature is raised from 0°C to 100°C, utilizing the equation ΔV = Vi βΔT. Participants clarify the distinction between β (compressibility) and α (thermal expansion coefficient), emphasizing that for volumetric expansion, the relationship αv ≅ 3*αL must be applied. The density of lead at 0°C is specified as 11,300 kg/m³, which is crucial for accurate calculations.

PREREQUISITES
  • Understanding of thermal expansion coefficients (α) and their application.
  • Familiarity with volumetric expansion equations.
  • Knowledge of density calculations and their dependence on temperature changes.
  • Basic principles of thermodynamics related to solids.
NEXT STEPS
  • Research the relationship between linear and volumetric thermal expansion coefficients.
  • Study the effects of temperature on the density of various materials.
  • Explore the application of the compressibility factor in different states of matter.
  • Learn how to derive density changes from thermal expansion in practical scenarios.
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Students in physics or engineering, educators teaching thermodynamics, and professionals involved in material science or thermal analysis.

mimi83
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Homework Statement


The temperature of a block of lead is raised from 0°C to 100°C. What is the percentage change in its density? (The density of lead at 0°C is 11,300 kg/m3.)


Homework Equations


ΔV = Vi βΔT


The Attempt at a Solution


it gave the wrong answer when i tried to use the above equation
 
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What did you use for β?

Is that a given in the problem?

I'm used to seeing β used for compressibility.

If you are using α the thermal expansion coefficient, you may need to account for expansion in 3-D, which corrects the linear α to volume α with the factor 3.

αv ≅ 3*αL

http://hyperphysics.phy-astr.gsu.edu/hbase/thermo/thexp2.html#c3
 

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