The density of a solution of hydrochloric acid is 1.0929 g/cc, and it is 19.00 percent by mass. What

volume of the solution (in milliliters) do you need to supply 30.0 g of hydrochloric acid?
I'm not sure how to start

1.0929 g/mL x ?mL x 0.19 = 30.0

Solve for ?mL.

To find the volume of the solution needed to supply a certain mass of hydrochloric acid, we can follow these steps:

Step 1: Convert the mass of hydrochloric acid to a percentage by dividing it by the total mass of the solution.

In this case, the mass of hydrochloric acid is 30.0 g and the solution is 19.00% by mass. We need to convert the mass of hydrochloric acid to a percentage:

Percentage of hydrochloric acid = (mass of hydrochloric acid / total mass of the solution) * 100

Percentage of hydrochloric acid = (30.0 g / total mass of the solution) * 100

Step 2: Set up a proportion using the densities of the solution and hydrochloric acid.

The density of the solution is given as 1.0929 g/cc.

Density = mass / volume

The proportion can be set up as:

Density of solution / Density of hydrochloric acid = Volume of solution / Volume of hydrochloric acid

Step 3: Solve the proportion to find the volume of the solution.

Let's denote the volume of the solution as V_solution and the volume of hydrochloric acid as V_hydrochloric acid.

Density of hydrochloric acid = mass of hydrochloric acid / volume of hydrochloric acid

We are given the mass of hydrochloric acid as 30.0 g. Substituting the values, the proportion becomes:

1.0929 g/cc / (30.0 g / V_hydrochloric acid) = 1.0000 g/cc / (30.0 g / 30.0 mL)

Solving for V_hydrochloric acid:

V_hydrochloric acid = (1.0929 g/cc * 30.0 mL * 30.0 g) / (1.0000 g/cc * 30.0 g)

Simplifying:

V_hydrochloric acid = (98,670 g* mL) / (1,000 g)

V_hydrochloric acid = 98.67 mL

Step 4: Calculate the volume of the solution using the mass percentage and the volume of hydrochloric acid.

We have the mass percentage as 19.00%, so the mass of the solution can be calculated as:

Mass of solution = mass of hydrochloric acid / (percentage of hydrochloric acid / 100)

Mass of solution = 30.0 g / (19.00 / 100)

Mass of solution = 30.0 g / 0.1900

Mass of solution = 157.89 g

Finally, we can calculate the volume of the solution by dividing the mass of the solution by its density:

Volume of solution = mass of solution / density of solution

Volume of solution = 157.89 g / 1.0929 g/cc

Volume of solution = 144.42 cc

Step 5: Convert the volume of the solution from cc to milliliters.

1 cc is equal to 1 milliliter (ml).

Volume of solution in milliliters = 144.42 cc = 144.42 ml

Therefore, to supply 30.0 g of hydrochloric acid, you would need to provide 144.42 milliliters of the solution.