Samantha needs 100 liters of a solution that has a concentration of 18 g/ml for the manufacture of computer parts. Samantha has an unlimited supply of a solution with a concentration of 35 g/ml. Using the Formula C1⋅V1=C2⋅V2 to answer the following questions. Round answers to the nearest 10th. How many liters of 35 g/ml does Samantha need to equals the amount of soluble in the given solution

You want to know the number of liters of 35 g/mL solution Samantha needs to equal the amount of solute in 100 liters of 18 g/mL solution.

Formula

Using the given formula, we have ...

[tex]C_1V_1=C_2V_2\\\\V_2=\dfrac{C_1V_1}{C_2}=\dfrac{(18\text{ g/mL})(100\text{ L)}}{35\text{ g/mL}}=\dfrac{1800}{35}\text{ L}\\\\V_2\approx51.4\text{ L}[/tex]

Samantha needs about 51.4 liters of 35 g/mL solution.

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Additional comment

You may note that we mixed the volume units, using mL in the expression for concentration, and L in the expression for quantity. We could have converted L to mL (or vice versa), but that is unnecessary here. The units of concentration cancel in the expression for volume, so there is no need for them to be anything other than what they are.