Volume Expansion Thermodynamics Question

AI Thread Summary
The discussion revolves around calculating the volume expansion of carbon tetrachloride in a steel container due to a temperature increase from 10.0°C to 27.5°C. The average coefficient of volume expansion for carbon tetrachloride is given as 5.81 x 10^(-4) (°C)^-1. An initial attempt at the solution yielded an incorrect spillover volume of 0.438 gallons. Another participant suggests that the correct calculation results in a spillover of 0.483 gallons and prompts a review of the volume expansion equation used. Accurate calculations are crucial for determining the correct amount of liquid that will overflow.
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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