Question

A chemistry student must write down in her lab notebook the concentration of a solution of sodium thiosulfate. The concentration of a solution equals the mass of what's dissolved divided by the total volume of the solution. Here's how the student prepared the solution: • The label on the graduated cylinder says: empty weight: 4.250 g • She put some solid sodium thiosulfate into the graduated cylinder and weighed it. With the sodium thiosulfate added, the cylinder weighed 56.0 g. • She added water to the graduated cylinder and dissolved the sodium thiosulfate completely. Then she read the total volume of the solution from the markings on the graduated cylinder. The total volume of the solution was 121.68 mL. What concentration should the student write down in her lab notebook? Be sure your answer has the correct number of significant digits.

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Answer to a math question A chemistry student must write down in her lab notebook the concentration of a solution of sodium thiosulfate. The concentration of a solution equals the mass of what's dissolved divided by the total volume of the solution. Here's how the student prepared the solution: • The label on the graduated cylinder says: empty weight: 4.250 g • She put some solid sodium thiosulfate into the graduated cylinder and weighed it. With the sodium thiosulfate added, the cylinder weighed 56.0 g. • She added water to the graduated cylinder and dissolved the sodium thiosulfate completely. Then she read the total volume of the solution from the markings on the graduated cylinder. The total volume of the solution was 121.68 mL. What concentration should the student write down in her lab notebook? Be sure your answer has the correct number of significant digits.

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1. Determine the mass of sodium thiosulfate:

\text{Mass of sodium thiosulfate} = 56.0 \, \text{g} - 4.250 \, \text{g} = 51.750 \, \text{g}

2. Convert the volume from mL to L (if needed, though not necessary here):

\text{Total volume} = 121.68 \, \text{mL}

3. Calculate the concentration using the formula:

\text{Concentration} = \frac{\text{Mass of sodium thiosulfate}}{\text{Total volume}} = \frac{51.750 \, \text{g}}{121.68 \, \text{mL}}

4. Perform the division:

\text{Concentration} = 0.42516 \, \text{g/mL}

5. Adjust the answer to the correct number of significant digits based on the initial data provided (3 significant digits for mass and volume):

\text{Concentration} = 0.426 \, \text{g/mL}

Final answer:

\text{Concentration} = 0.426 \, \text{g/mL}

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