A 5.12 L sample of solution contains 0.230 g of potassium sulfate, K 2 SO 4 . Determine the concentration of K 2 SO 4 in ppm if the density of the solution is 1.30 g/mL.

A 5.12 liter sample of a solution contains 0.230 grams of potassium sulfate, k two s o four. Determine the concentration of potassium sulfate in parts per million, if the density of the solution is 1.30 grams per milliliter. Alright. So they're giving to us the grams of our solute. That tells me that parts per million here will be grams of solute divided by grams of solution times 10 to the 6. So we already have the grams of our solute, our potassium sulfate. So plug that in. And what we need to do now is figure out our grams of solution. So to figure out our grams of solution, realize they're giving us the density of the solution and the volume of the solution. So I'm gonna take 5.12 liters. Remember 1 milli is 10 to the negative 3. Now that I have the milliliters of solution, I can multiply it by its density, and that'll give me the grams of my solution. So when I do that I'm gonna get 5,100 oh, actually no. I'm gonna get 6,000, 6,656 grams of solution. So here, that is our grams of solution times 10 to the 6, since this is parts per million. That gives me 34.6 PPM as my final answer, which is option a.

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14. Solutions

Parts per Million (ppm)

General Chemistry

14. Solutions

Parts per Million (ppm)

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Multiple Choice

A 5.12 L sample of solution contains 0.230 g of potassium sulfate, K₂SO₄. Determine the concentration of K₂SO₄ in ppm if the density of the solution is 1.30 g/mL.

34.6 ppm

28.9 ppm

22.3 ppm

43.6 ppm

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Verified step by step guidance

First, calculate the mass of the solution using its volume and density. The volume of the solution is 5.12 L, which is equivalent to 5120 mL. Use the formula: \( \text{mass of solution} = \text{volume} \times \text{density} \).

Substitute the given values into the formula: \( \text{mass of solution} = 5120 \text{ mL} \times 1.30 \text{ g/mL} \). This will give you the total mass of the solution in grams.

Next, calculate the concentration of potassium sulfate (K2SO4) in parts per million (ppm). The formula for ppm is: \( \text{ppm} = \left( \frac{\text{mass of solute}}{\text{mass of solution}} \right) \times 10^6 \).

Substitute the mass of K2SO4 (0.230 g) and the mass of the solution (calculated in step 2) into the ppm formula: \( \text{ppm} = \left( \frac{0.230 \text{ g}}{\text{mass of solution}} \right) \times 10^6 \).

Finally, solve the equation to find the concentration of K2SO4 in ppm. This will give you one of the provided answer choices.