`V_(1)` cc of solution having molarity `M_(1)` is diluted to have molarity
`M_(2)`. Derive expression (in terms of `M_(1),M_(2) and V_(1))` for the
volume of water required to be added.

Explanation

To derive the expression for the volume of water required to be added when a solution of volume \( V_1 \) and molarity \( M_1 \) is diluted to a new molarity \( M_2 \), we can follow these steps:

### Step 1: Understand the concept of dilution
When a solution is diluted, the number of moles of solute remains constant before and after dilution. Therefore, we can use the relationship between molarity, volume, and moles of solute.

### Step 2: Write the equation for the initial solution
The number of moles of solute in the initial solution can be expressed as:
\[
...