Results 1 to 3 of 3

Math Help - Applied integration? Dosage problem:

  1. #1
    Newbie
    Joined
    Aug 2008
    Posts
    2

    Applied integration? Dosage problem:

    Hi all

    I'm a little rusty on my calculus and was wondering if I can get a little help. The problem involves linear dosing a Ca solution into an aquarium to increase the total concentration. Here are the numbers:

    initial concentration: 360ppm
    uptake: 2.5ppm per day
    dosing adds: 7.5ppm per day
    target concentration: 410ppm

    So in words, the tank starts at 360ppm and I would like to get the concentration to 410ppm. Only one dose is allowed per day which adds 7.5ppm to the total concentration, but the uptake of the system consumes 2.5ppm per day. How many days/doses are needed to get 410ppm?

    This is the instantaneous equation I came up with:
    [(Target Ca conc - Ca conc + Ca consumed)] /[dosage amt] = #times you have to dose
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member
    Joined
    Feb 2008
    Posts
    410
    No calculus here is required. If the tank takes up 2.5ppm, and you can add a maximum of 7.5ppm, then that's 5ppm that you can add per day, which means you need 10 days to get from 360ppm to 410ppm.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Aug 2008
    Posts
    2
    Thanks Hatsoff, that's what I thought. Coworker got me thinking too hard about our reef tanks.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Drug Dosage Modeling
    Posted in the Differential Equations Forum
    Replies: 5
    Last Post: August 2nd 2012, 11:40 AM
  2. Applied max and min problem
    Posted in the Calculus Forum
    Replies: 1
    Last Post: November 9th 2009, 11:53 PM
  3. Applied problem
    Posted in the Algebra Forum
    Replies: 1
    Last Post: September 1st 2008, 06:44 PM
  4. Integration applied to Physics problem
    Posted in the Calculus Forum
    Replies: 5
    Last Post: June 3rd 2008, 06:08 PM
  5. Tough Applied Integration Question
    Posted in the Calculus Forum
    Replies: 1
    Last Post: May 7th 2008, 04:19 PM

Search Tags


/mathhelpforum @mathhelpforum