Having trouble with this one anyone can give some insight?

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Homework Help Overview

The problem involves a student heating a beaker of coffee and determining the volume of coffee that spills out due to thermal expansion. The subject area pertains to thermal expansion and fluid dynamics.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • The original poster attempts to apply the volumetric expansion equation to find the change in volume of the coffee. Some participants question the coefficient of expansion for Pyrex glass and its relevance to the problem.

Discussion Status

Participants are exploring the coefficients of expansion for both coffee and Pyrex glass. There is an acknowledgment of the original poster's approach, with suggestions to consider the volumetric expansion coefficient and its source. The discussion is ongoing with no explicit consensus reached.

Contextual Notes

There is a mention of the volumetric expansion coefficient for Pyrex glass, which some participants suggest may be negligible in this context. The original poster's equation and assumptions are under scrutiny.

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Homework Statement


During an all-night cram session, a student heats up a 0.360 liter (0.360 x 10- 3 m3) glass (Pyrex) beaker of cold coffee. Initially, the temperature is 18.1 °C, and the beaker is filled to the brim. A short time later when the student returns, the temperature has risen to 94.6 °C. The coefficient of volume expansion of coffee is the same as that of water. How much coffee (in cubic meters) has spilled out of the beaker?

Homework Equations



dV = V0 â (t1 - t0)

therefore

0.00036*0.000214(of water?)(94.6-18.1)
=
dV = V1 - V0 = change in volume

= answer

is this the correct equation?

The Attempt at a Solution

 
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And what is the coefficient of expansion for Pyrex glass ?
 
BvU said:
And what is the coefficient of expansion for Pyrex glass ?

4.0(10-6 m/(m K))*)
 
Which means it can be ignored and your approach is imho a good start.
Now I look at the value for â (usually the volumetric expansion coefficient is denoted with the symbol ##\beta##) and compare with the table here .
Notice something ? Where does your value come from ?

By the way, I forgot:

Hello James, and welcome to PF :smile: !
 
Last edited:

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