Find the limit of Q(t)?

  • Thread starter Math10
  • Start date
  • #1
Math10
301
0

Homework Statement


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.

Homework Equations


None.

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).
 

Answers and Replies

  • #2
Ray Vickson
Science Advisor
Homework Helper
Dearly Missed
10,706
1,722

Homework Statement


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.

Homework Equations


None.

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).

Set up a differential equation for Q(t). Solve it.
 
  • #3
36,191
8,173

Homework Statement


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.

Homework Equations


None.

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).
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.
 

Suggested for: Find the limit of Q(t)?

Replies
3
Views
2K
Replies
1
Views
1K
Replies
2
Views
654
  • Last Post
Replies
11
Views
1K
  • Last Post
Replies
8
Views
1K
  • Last Post
Replies
17
Views
2K
  • Last Post
Replies
24
Views
6K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
4
Views
1K
  • Last Post
Replies
4
Views
885
Top