Thermal Expansion of a drinking glass

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SUMMARY

The discussion centers on calculating the amount of water that spills from a drinking glass due to thermal expansion when the water temperature rises from 2.0°C to 34.0°C (a 32.0°C increase). The coefficient of thermal expansion for water is given as B = 207 x 10^-6. The initial calculation yields 1.77 mL of spilled water, while the textbook states the correct answer is 1.66 mL. The discrepancy arises from the interpretation of the temperature increase, which should be clarified as a rise to 34.0°C rather than an increase of 32.0°C.

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mg1977
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Homework Statement

An ordinary drinking glass is filled to the brim with water(268.4mL) at 2.0C and placed on the sunny pool deck to enjoy. If the temp of the H2o rises 32.0C, how much water will spill out of the glass?Assuming no expansion for glass...



Homework Equations

B=207*10^-6 for water, so: do I still include the coeff for glass?



The Attempt at a Solution

So far I have: B(H20) * the difference of T *(if applicible)Vinital-a glass *the diff of T * Vinital
207*10^-6 *32.0 * 268.4mL = I end up with 1.77mL but the back of the book says 1.66mL What am I missing?
 
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mg1977 said:

Homework Statement

An ordinary drinking glass is filled to the brim with water(268.4mL) at 2.0C and placed on the sunny pool deck to enjoy. If the temp of the H2o rises 32.0C, how much water will spill out of the glass?Assuming no expansion for glass...



Homework Equations

B=207*10^-6 for water, so: do I still include the coeff for glass?



The Attempt at a Solution

So far I have: B(H20) * the difference of T *(if applicible)Vinital-a glass *the diff of T * Vinital
207*10^-6 *32.0 * 268.4mL = I end up with 1.77mL but the back of the book says 1.66mL What am I missing?

Did the temperature rise by 32 degrees or to 32 degrees? Double check this part of the question.
 

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