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Please answer a simple science question

 
 
smorgs
 
Reply Sun 6 Mar, 2005 01:20 pm
I was cleaning out the fish tank today. Whilst the fish was happily ensconced in his holiday chalet (large glass jug), I left the newly cleaned tank to come up to the ambient temperature. 2 hours later it still felt slightly warmer then the water in the jug...I must have filled it warmer than usual. Anyway this is supposed to be a simple question so here goes:

If the ambient temperature was 70 (f)

and you filled two bowls of water (the same amount)

one was at 65

one at 75

which one would get to 70 quicker???

would they both take the same amount of time?

Is this obvious to everyone exept me?

I know I'm blonde, but my daughter doesn't know either and she's brunette!

Thanks.
Sarah
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Type: Discussion • Score: 1 • Views: 3,548 • Replies: 76
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Steve 41oo
 
  1  
Reply Sun 6 Mar, 2005 01:49 pm
Thats a good question Sarah. Have you asked a red-head?

more later when I have considered
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cicerone imposter
 
  1  
Reply Sun 6 Mar, 2005 01:53 pm
I would guess that the 75 degree one will reach the ambiant temperature first.
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Steve 41oo
 
  1  
Reply Sun 6 Mar, 2005 01:56 pm
Well I've considered now. My conclusion is that this a deceptively simple question which masks a paradoxical aspect of thermodynamics. Ask the fish.
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Steve 41oo
 
  1  
Reply Sun 6 Mar, 2005 02:09 pm
Good guess, ci

and you have a 50% chance of being right.
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cicerone imposter
 
  1  
Reply Sun 6 Mar, 2005 02:14 pm
I always knew I had a 50% chance to being right, but with my luck...
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Walter Hinteler
 
  1  
Reply Sun 6 Mar, 2005 02:21 pm
If the question had been about temperature in Celsius ... I've really no idea, how this can work in Fahrenheit.

If it works.
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Steve 41oo
 
  1  
Reply Sun 6 Mar, 2005 02:34 pm
Actually Walter, the answer is in degrees K

[Kelvin is a temperature scale designed so that zero degrees K is defined as absolute zero (at absolute zero, a hypothetical temperature, all molecular movement stops - all actual temperatures are above absolute zero) and the size of one unit is the same as the size of one degree Celsius. Water freezes at 273.16K; water boils at 373.16K. [ K = C + 273.16°, F = (9/5)C + 32°].

This temperature scale was designed by Lord Kelvin (William Thompson, 1824-1907). Kelvin was a British inventor and scientist. In addition to his work on temperature, Kelvin invented over 50 devices (including the mirror galvanometer, which detects and measures weak electric fields), discovered the second law of thermodynamics (the amount of usable energy in the universe is decreasing), and wrote hundreds of scientific papers]

Unfortunately Lord Kelvin is not around on a2k to help Sarah with her problem, being dead.
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cicerone imposter
 
  1  
Reply Sun 6 Mar, 2005 02:36 pm
Maybe "being dead" is a clue to the answer.
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Francis
 
  1  
Reply Sun 6 Mar, 2005 02:49 pm
Steve (as 41oo) wrote:
Kelvin invented over 50 devices (including the mirror galvanometer.


therefore the parallaxe error...

Steve (as 41oo) wrote:
discovered the second law of thermodynamics (the amount of usable energy in the universe is decreasing).


Otherwise named enthropy...
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stuh505
 
  1  
Reply Sun 6 Mar, 2005 03:00 pm
It takes the same amount of time
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cicerone imposter
 
  1  
Reply Sun 6 Mar, 2005 03:11 pm
stuh, And the proof is?
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InfraBlue
 
  1  
Reply Sun 6 Mar, 2005 03:15 pm
I'd infer from what stuh says that, all else being the same, a body loses heat at the same rate that it gains it.
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cicerone imposter
 
  1  
Reply Sun 6 Mar, 2005 03:21 pm
Does the volume of water make any difference? (Two bowls of water vs two teaspoons of water.)
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McTag
 
  1  
Reply Sun 6 Mar, 2005 03:37 pm
It takes the same amount of time.

Lord Kelvin was Scottish.

Good evening.
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cicerone imposter
 
  1  
Reply Sun 6 Mar, 2005 03:40 pm
Then why does it take longer to boil two cups of water vs two teaspoons of water on the stove at the same temp?
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McTag
 
  1  
Reply Sun 6 Mar, 2005 03:53 pm
cicerone imposter wrote:
Then why does it take longer to boil two cups of water vs two teaspoons of water on the stove at the same temp?


Didn't smorgs say the two containers of water were the same volume?

Otherwise, all bets are off. Very Happy
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cicerone imposter
 
  1  
Reply Sun 6 Mar, 2005 03:59 pm
McTag, I threw a curve with my last question which may not be relavant. "Does the volume of water make any difference? (Two bowls of water vs two teaspoons of water.)"
0 Replies
 
DrewDad
 
  1  
Reply Sun 6 Mar, 2005 04:02 pm
If I remember my college physics correctly, the energy (heat) transmitted depends on the temperature gradient and the amount of insulation between the two areas.

The question indicates that these two factors are equal for both containers. Therefore, the rate at which heat is lost/gained will be equal.

Since the cooler water will be slightly more dense, it will therefore require slightly more energy to be transfered, which will take slightly longer.

(But I expect it would be within measurement error, so the answer is that the will take the same amount of time.)
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cicerone imposter
 
  1  
Reply Sun 6 Mar, 2005 04:07 pm
DrewDad, The best answer yet, IMHO. Wink
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