Question

To what volume should you dilute 55 mL of a 11 M stock `HNO_3` solution to obtain a 0.137 M `HNO_3` solution?

Answer 1

You need to dilute the given volume of stock solution to `"4.4 L"`.

Explanation:

Molarity `("M")` represents the concentration of a solution in moles of solute/liters of solution.

`M_1V_1=M_2V_2`

`M_1="11 M"="11 mol/L"`
`V_1="55 mL"="0.055 L"`
`M_2="0.137 M"="0.137 mol/L"`
`V_2="???`

Solution
Rearrange the equation to isolate `V_2`, then substitute the given values into the equation and solve.

`V_2=(M_1V_1)/M_2`

`V_2=(11cancel"mol/L" * 0.055"L")/(0.137cancel"mol/L")="4.4 L"` (rounded to two significant figures)