Results 1 to 3 of 3

Thread: Volumetric expansion problem

  1. #1
    Aug 2011

    Volumetric expansion problem

    Hello, i understand this isnt a calculus question but there seems to be the most people on this forum. Im studying for my Power Engineer 3rd class and have a question. At 5 degrees celcius a steel tank with a diameter of 9m and 6m height, is filled with oil at the 5.9m level. at what temperature will the oil overflow by 3.4m cubed? Do not forget steel expands as well. Coefficient of linear expansion Steel- 12x10-6 (to the power)
    '' '' Volumetric expansion oil - 4.1x10-4

    change in volume= original volume x coefficient of expansion x change in temp.

    answer given in back of book 71.7 degree C

    If anyone can show me how to figure this one out, that would be great

    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member
    Mar 2010

    Re: Volumetric expansion problem

    If we have

    $\displaystyle l=l_0(1+{\alpha} \;{\Delta} t)$.

    The volume is

    $\displaystyle V=V_0(1+{\alpha} \;{\Delta} t)^3$.

    Or with some approximation

    $\displaystyle V=V_0(1+3{\alpha} \;{\Delta} t)$.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member BERMES39's Avatar
    Aug 2011

    Re: Volumetric expansion problem

    The volume of the oil Vo as it expands, is given by the first equation, t is the temperature increase.
    The second equation is the volume of the tank as it expands plus the extra 3.4 cubic meters.

    The temperature t at which Vo = Vt can be found by graphing the two equations and finding the intersection.

    I found the intersection at 68 deg. Plus 5 deg is 73 deg. 2 deg off from your answer.
    Attached Thumbnails Attached Thumbnails Volumetric expansion problem-vo.png  
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. volumetric analysis
    Posted in the Math Topics Forum
    Replies: 0
    Last Post: Feb 20th 2010, 11:30 PM
  2. Binomial expansion problem
    Posted in the Algebra Forum
    Replies: 0
    Last Post: Feb 15th 2010, 08:43 AM
  3. Expansion problem
    Posted in the Calculus Forum
    Replies: 1
    Last Post: Jun 11th 2009, 09:06 PM
  4. Replies: 6
    Last Post: May 1st 2009, 11:37 AM
  5. Binomial Expansion Problem - Please help!
    Posted in the Algebra Forum
    Replies: 5
    Last Post: May 28th 2008, 05:06 AM

Search Tags

/mathhelpforum @mathhelpforum