How Much Coffee Spills From a Heated Beaker?

  • Thread starter Thread starter owura143
  • Start date Start date
  • Tags Tags
    Heat Urgent
Join the discussion
Registration is free. Ask a follow-up in this thread, or start your own.
Sign up Log in
11 replies · 8K views
owura143
Messages
12
Reaction score
0
Urgent help need.Please ! Heat question

1. During an all-night cram session, a student heats up a one-half liter (0.50 10-3 m3) glass (Pyrex) beaker of cold coffee. Initially, the temperature is 20°C, and the beaker is filled to the brim. A short time later when the student returns, the temperature has risen to 92°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?



Coefficient of volume expansion for water is 207 x 10^-6

I used the equation

delta V = beta x volume x delta T

= 207x10^-6 X 0.5x10^-3 X 72

= 7.452 X 10 ^-6


But the answer is wrong
 
Physics news on Phys.org
what are the units of beta?
 
The unit is 1/ degrees celsius.





i don't know the right answer
 
water has no coefficient of linera expansion
 
that seems wrong, volume or sg changes by a couple of percent over the range mentioned.
 
Last edited:
my bad it asks to be reported in cubic meters. I get the same answer.
 
Last edited:
Hage, I looked it up as well, was 0.00021 on Wiki iirc.
 
denverdoc said:
Hage, I looked it up as well, was 0.00021 on Wiki iirc.

I finally got out from under internet blockages as well, and I notice that that is correct at 20 degrees, but it's over 3 times larger at 90 degrees. Perhaps, choosing an intermediate temperature would give you a better approximation.
 
Dick said:
I finally got out from under internet blockages as well, and I notice that that is correct at 20 degrees, but it's over 3 times larger at 90 degrees. Perhaps, choosing an intermediate temperature would give you a better approximation.

Yes, I found that too. I was wondering if the value was stated in the text somewhere or if the OP looked it up.