Question

What volume of a 6.84M sodium bromide solution would be needed to make 588mL of a 1.84M solution by dilution?

Answer 1

The initial volume is `158 mL`

Explanation:

Whenever you are dealing with a dilution, (going from a higher concentration to a lower concentration), use the equation below:

Let's determine our known and unknown variables:

`color(coral)("Knowns:"`

• Initial Molarity
• Final Volume
• Final Molarity

`color(magenta)("Unknowns:"`

• Initial Volume

Next, we rearrange the equation to solve for `V_1` by dividing by `M_1` on both sides of the equation:

`V_1=(M_2xxV_2)/M_1`

Plug in the known values and solve for your unknown:
`V_1=(1.84cancel"M"xx588mL)/(6.84cancel"M")`

Thus,

`V_1 = 158 mL`