# If 4.0 L of a 4.8 M SrCl_2 solution is diluted to 50 L , what is the molarity of the diluted...

## Question:

If {eq}4.0 \ L {/eq} of a {eq}4.8 \ M \ SrCl_2 {/eq} solution is diluted to {eq}50 \ L {/eq}, what is the molarity of the diluted solution?

## Strength:

The strength of a solution is the concentration of that solution. Now, this concentration is expressed in many units. Some common units are molar, molal, formal, etc.

Now,for dilution of a solution below relation is applicable.

{eq}S_1V_1 = S_2V_2 {/eq}

Where,{eq}S_1 {/eq} = Strength of solution-1 = 4.8 M.

{eq}V_1 {/eq} = Volume of solution-1 = 4.0L.

{eq}S_2 {/eq} = Strength of solution-2 =molarity of the diluted solution=?

{eq}V_2 {/eq} = Volume of solution-2 = 50 L.

Hence,{eq}S_2 = \frac{S_1\times V_1}{V_2} = \frac{4.8 M \times 4 L}{50 L} = 0.384 M. {/eq}

So, the molarity of the diluted solution = 0.384 M.