Calculate Glass Volume Expansion Coefficient | Thermodynamics Question

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SUMMARY

The discussion centers on calculating the coefficient of volume expansion of glass using a specific thermodynamic scenario. A glass flask with a volume of 1000.0 cm³ at 0.0 °C, filled with mercury, experiences an overflow of 12.5 mL when heated to 80.0 °C. The formula used is ΔV = (β)(V₀)(ΔT), leading to a calculated coefficient of volume expansion (β) of 1.56 x 10^-4. The calculation confirms that the mercury's expansion does not directly influence the glass's coefficient of expansion.

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  • Understanding of thermodynamics principles, specifically volume expansion.
  • Familiarity with the formula for volume expansion: ΔV = (β)(V₀)(ΔT).
  • Knowledge of the properties of mercury and its coefficient of volume expansion.
  • Basic algebra skills for manipulating equations and solving for variables.
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  • Explore advanced thermodynamic concepts related to fluid dynamics and material properties.
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tanky322
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A glass flask whose volume is 1000.0 Cm^3 at 0.0 DegC is completley filled with mercury at this temperature. When the flask and mercury are warmed to 80.0 DegC, 12.5 ML of mercury overflow. Compute the coefficient of volume expansion of the glass.

I believe this is the formula I want to use deltaV=(Beta)(Vo)(delta T). Solving it for beta would bring me to Beta=(Delta V)/((Vo)(delta T)). I believe that the mercury shouldn't have anypart in this calculation but I am not too sure.

I plugged in all the good stuff and came out with an answer of 1.56 X 10^-4. Does this seem right?
 
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tanky322 said:
A glass flask whose volume is 1000.0 Cm^3 at 0.0 DegC is completley filled with mercury at this temperature. When the flask and mercury are warmed to 80.0 DegC, 12.5 ML of mercury overflow. Compute the coefficient of volume expansion of the glass.

I believe this is the formula I want to use deltaV=(Beta)(Vo)(delta T). Solving it for beta would bring me to Beta=(Delta V)/((Vo)(delta T)). I believe that the mercury shouldn't have anypart in this calculation but I am not too sure.

I plugged in all the good stuff and came out with an answer of 1.56 X 10^-4. Does this seem right?
What is the expanded volume of the mercury (use the coefficient of volume expansion for Hg and apply that to the temperature change).

What is the volume of the heated glass flask (ie. it contains all but 12.5 ml of the expanded Hg)?

Work out the coefficient of expansion for the glass using that information.

AM
 
Thanks! Its been a few months since I've done one of these just needed a little tip!
 

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