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Find the limit of Q(t)?

  1. Jan 5, 2015 #1
    1. The problem statement, all variables and given/known data
    A process creates a radioactive substance at the rate of 2 g/hr and the substance decays at a rate proportional to its mass, with constant of proportionality k=0.1(hr)^-1. If Q(t) is the mass of the substance at time t, find the limit of Q(t) as t approaches to infinity.

    2. Relevant equations
    None.

    3. The attempt at a solution
    I know how to take the limit of Q(t) but I need to solve for Q(t) first. And I tried to find it but don't know the formula to solve for Q(t).
     
  2. jcsd
  3. Jan 5, 2015 #2

    Ray Vickson

    User Avatar
    Science Advisor
    Homework Helper

    Set up a differential equation for Q(t). Solve it.
     
  4. Jan 5, 2015 #3

    Mark44

    Staff: Mentor

    You aren't "solving" for Q(t) -- you have to take the given information in the problem and write a differential equation that involves Q(t) based on that information.
     
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