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anonymous

  • 5 years ago

A cup of soup cooled from 90 to 60 degrees in 10 min in a 20 degree room. Use Newton's Law of Cooling to find how long it will take the soup to cool to 35 degrees when placed in a -15 degree freezer.

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  1. anonymous
    • 5 years ago
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    ah, these are fun ones.

  2. anonymous
    • 5 years ago
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    What has me here is that the k you get from the first equation shouldn't be the k used in the second equation, right?

  3. anonymous
    • 5 years ago
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    I believe the k will stay the same

  4. anonymous
    • 5 years ago
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    so did you first solve \[40=70e ^{-10k}\] for k?

  5. anonymous
    • 5 years ago
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    Correct.

  6. anonymous
    • 5 years ago
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    you should be on the right track then using k=0.056

  7. anonymous
    • 5 years ago
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    i get 13.25 minutes

  8. anonymous
    • 5 years ago
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    That's what I got as well. I have another question if you're up for it: A gorilla habitat can support no more than 250 gorillas. 28 gorillas were initially in the habitat. Assume the rate of growth is \[dP/dt=.0004P(250-P)\] where t is in years. Derive a formula for the gorilla population in terms of t using partial fractions.

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spraguer (Moderator)
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