Thermal Expansion of Water in glass

AI Thread Summary
The discussion revolves around calculating the volume of water that spills from a glass due to thermal expansion when the water temperature rises from 3°C to 32°C. The user applied the volume expansion formula for both water and glass, using coefficients of 210e-6/C for water and 27e-6/C for glass, resulting in a calculated spill of approximately 1.41325 mL. However, the answer was marked incorrect by an online system, prompting questions about potential errors in significant digits, unit requirements, or discrepancies in the coefficients used. Participants suggest verifying the coefficients and considering the specific requirements of the assignment. The discussion highlights the importance of accuracy in thermal expansion calculations and the need to check all parameters for correctness.
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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