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  1. Tardigrade
  2. Question
  3. Physics
  4. A 100 ml solution having activity 50 dps is kept in a beaker. It is now constantly diluted by adding water at a constant rate of 10 ml / sec and 2 m l / sec of solution is constantly being taken out. Find the activity of 10 ml solution which is taken out, assuming half life to be effectively very large:

Q. A solution having activity is kept in a beaker. It is now constantly diluted by adding water at a constant rate of and of solution is constantly being taken out. Find the activity of solution which is taken out, assuming half life to be effectively very large:

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Solution:


The volume of liquid in beaker at any instant of time is

The volume of liquid ejected in seconds is
Number of active atoms being taken out is


multiplying both sides with disintegration constant.

or
where is activity of the solution.
The time taken for solution to come out is second.


Thus required activity of the ejected solution is

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