Question

A thin-walled vessel of volume V contains N particles which slowly leak out of a small hole of area A. No particles enter the volume through the hole. Find the time required for the number of particles to decrease to N/2. Express your answer in terms of A, V, and v.

Answer 1

Answer:

    $\frac{V}{2av}$

Explanation:

From the question we are told that

Volume V

Contains N particles

Leaks from a small hole of area A

Generally the equation for Flow rate is given as

Volume Flow Rate  $V_r = A * v$

Mathematically we find the  time taken to flow half way which is given by

          $\frac{(V/2)}{A*v}$

Therefore the  time taken is

           $\frac{V}{2av}$