Results 1 to 2 of 2

Math Help - Temperature problem

  1. #1
    Newbie
    Joined
    Jan 2009
    Posts
    1

    Temperature problem

    Problem:

    Original temperature of hot chocolate is 81 degrees. After 6 minutes in a 14-degree environment the hot chocolate is 63 degrees. Find the formula to represent the rate at which the temperature of the hot chocolate is decreasing. Also find the temperature of the hot chocolate after 15 minutes.

    Any help is appreciated. And please explain if you can.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    is up to his old tricks again! Jhevon's Avatar
    Joined
    Feb 2007
    From
    New York, USA
    Posts
    11,663
    Thanks
    3
    Quote Originally Posted by IfUAin1stUrLast View Post
    Problem:

    Original temperature of hot chocolate is 81 degrees. After 6 minutes in a 14-degree environment the hot chocolate is 63 degrees. Find the formula to represent the rate at which the temperature of the hot chocolate is decreasing. Also find the temperature of the hot chocolate after 15 minutes.

    Any help is appreciated. And please explain if you can.
    We have T' = -k(T - T_{amb}) \implies T = Ae^{-kt} + T_{amb}

    where T is the temperature at time t, T_{amb} is the ambient (surrounding) temperature, which is 14 here, and A and k are constants (see post #2 here)

    We are told T(0) = 81 and T(6) = 63. this is enough information to find A and k. And thus answer the rest of the question
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. temperature problem
    Posted in the Differential Equations Forum
    Replies: 2
    Last Post: September 5th 2011, 02:29 AM
  2. temperature problem
    Posted in the Differential Equations Forum
    Replies: 4
    Last Post: August 5th 2011, 08:26 AM
  3. Temperature Problem
    Posted in the Differential Equations Forum
    Replies: 6
    Last Post: January 30th 2011, 03:07 PM
  4. Corpse Temperature Problem
    Posted in the Algebra Forum
    Replies: 1
    Last Post: April 5th 2010, 02:21 PM
  5. Cooling/temperature Problem
    Posted in the Calculus Forum
    Replies: 1
    Last Post: September 27th 2007, 01:53 PM

Search Tags


/mathhelpforum @mathhelpforum