# Question #64184

##### 1 Answer

#### Answer:

You'd need **62 mL** of concentrate for the second solution.

#### Explanation:

So, you know that **5 L** of concentrate are used to make a **166-L** solution.

Assuming that you're dealing with a **volume by volume** percent concentration, you know that

The volume by volume percent concentration of a solution is defined as the volume of solute divided by the *total volume of the solution* and multiplied by 100.

In your case, the solution will have a v/v percent concentration of

Now, for your second solution, the *total volume of the solution* will be

This means that, in order to get a **3.01% v/v** solution that uses **2 L** of water, you need to add

So, to prepare a **3.01% v/v** solution with 2 L of water, you need to use **62 mL** of concentrate.

**ALTERNATIVE METHOD**

Alternatively, you can use something called the dilution factor, which is defined as

The first solution will have a dilution factor of

For the second solution, you know that the volume of the solution is

The dilution factor **must be the same**, so you have