Volume Expansion Thermodynamics Question

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SUMMARY

The average coefficient of volume expansion for carbon tetrachloride is 5.81 x 10-4 (°C)-1. When a 47.5-gallon steel container filled with carbon tetrachloride is heated from 10.0°C to 27.5°C, the volume expansion leads to a spillover of approximately 0.483 gallons. The equation used for calculating volume expansion is essential for determining the correct amount of liquid that overflows due to temperature changes.

PREREQUISITES
  • Understanding of volume expansion principles
  • Familiarity with the coefficient of volume expansion
  • Basic algebra for solving equations
  • Knowledge of temperature conversion and measurement
NEXT STEPS
  • Review the equation for volume expansion: ΔV = V0 * β * ΔT
  • Calculate volume changes for different liquids using their specific coefficients
  • Explore the effects of temperature on liquid properties in thermodynamics
  • Study real-world applications of volume expansion in engineering and design
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Students studying thermodynamics, physics enthusiasts, and professionals in engineering fields who require a solid understanding of volume expansion in liquids.

AngelMizukage
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Homework Statement



The average coefficient of volume expansion for carbon tetrachloride is 5.81 multiplied by 10^(-4) (°C)-1. If a 47.5 gal steel container is filled completely with carbon tetrachloride when the temperature is 10.0°C, how much will spill over when the temperature rises to 27.5°C?

Homework Equations



Use the equation of volume expansion

The Attempt at a Solution

The answer I got was 0.438 gal but I know that this is wrong.
 
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AngelMizukage said:

Homework Statement



The average coefficient of volume expansion for carbon tetrachloride is 5.81 multiplied by 10^(-4) (°C)-1. If a 47.5 gal steel container is filled completely with carbon tetrachloride when the temperature is 10.0°C, how much will spill over when the temperature rises to 27.5°C?

Homework Equations



Use the equation of volume expansion

The Attempt at a Solution

The answer I got was 0.438 gal but I know that this is wrong.
Check your math. I get .483 gal. What is the equation for volume expansion that you are using?

AM
 

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