Thermal Expansion of Water in glass

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Homework Help Overview

The problem involves calculating the volume of water that spills over from a glass due to thermal expansion as the temperature of the water increases from 3°C to 32°C. The coefficients of volume expansion for both water and glass are provided for this calculation.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to calculate the volume change for both water and glass using the volume expansion formula but questions the accuracy of their results. Other participants inquire about potential reasons for discrepancies, including significant digits and the use of different coefficient values.

Discussion Status

The discussion is ongoing, with participants exploring various factors that might affect the calculations. There is no explicit consensus on the correctness of the original poster's approach, but several lines of questioning are being pursued to clarify the situation.

Contextual Notes

Participants note the possibility of differing coefficients and the importance of significant digits in the context of the online assignment. There is also mention of a standard data table that may be relevant to the problem.

ManuelGR
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Homework Statement


An ordinary drinking glass is filled to the brim with water (266.3 mL) at 3°C and placed on the sunny pool deck for a swimmer to enjoy. If the temperature of the water rises to 32°C before the swimmer reaches for the glass, how much water will have spilled over the top of the glass?

(Use the following values for the volume expansion coefficients:
For glass 28.2e-6/C and for water 207.0e-6/C)


Homework Equations


V=V0*B*T


The Attempt at a Solution


According to my book, the B for water is 210*10^-6.

I plugged in the values that I have, getting V=266.3*(210*10^-6)*29, and get 1.62177.

I do the same for glass, getting V=266.3*(27*10^-6)*29, and get 0.208513.

I subtract the 0.208513 from 1.62177 and get 1.41325.

What am I doing wrong?
 
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Does anybody know?
 
Why do you think the answer's wrong? It looks right to me.
 
ideasrule said:
Why do you think the answer's wrong? It looks right to me.

The assignment is online and the answer I got comes up as incorrect.
 
That could be due to a lot of reasons. Does the online app care about significant digits? Did it ask for the answer in mL, or in another unit? Is there a standard data table that you're supposed to use? (I notice that the coefficients you used in your problem statement are different from those in your solution.)
 

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