Questions: 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: 9.050 g - She put some solid sodium thiosulfate into the graduated cylinder and weighed it. With the sodium thiosulfate added, the cylinder weighed 76.3 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 124.99 mL . What concentration should the student write down in her lab notebook? Be sure your answer has the correct number of significant digits. g · mL^-1 × 10

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: 9.050 g - She put some solid sodium thiosulfate into the graduated cylinder and weighed it. With the sodium thiosulfate added, the cylinder weighed 76.3 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 124.99 mL . What concentration should the student write down in her lab notebook? Be sure your answer has the correct number of significant digits. g · mL^-1 × 10
Transcript text: 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: 9.050 g - She put some solid sodium thiosulfate into the graduated cylinder and weighed it. With the sodium thiosulfate added, the cylinder weighed 76.3 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 124.99 mL . What concentration should the student write down in her lab notebook? Be sure your answer has the correct number of significant digits. $\square$ $\mathrm{g} \cdot \mathrm{mL}{ }^{-1}$ $\square$ $\times 10$
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Solution

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Solution Steps

Step 1: Determine the Mass of Sodium Thiosulfate
  • Calculate the mass of sodium thiosulfate by subtracting the empty weight of the graduated cylinder from the weight with sodium thiosulfate.
  • Mass of sodium thiosulfate = \( 76.3 \, \text{g} - 9.050 \, \text{g} \).
Step 2: Calculate the Concentration
  • Use the formula for concentration: \(\text{Concentration} = \frac{\text{mass of solute}}{\text{volume of solution}}\).
  • Convert the volume from mL to L if necessary for standard units, but since the concentration is asked in \(\text{g} \cdot \text{mL}^{-1}\), keep it in mL.
  • Concentration = \(\frac{\text{mass of sodium thiosulfate}}{124.99 \, \text{mL}}\).
Step 3: Determine Significant Figures
  • Ensure the final concentration value is reported with the correct number of significant figures based on the given data.
  • The mass of sodium thiosulfate and the volume of the solution should dictate the significant figures in the final answer.

Final Answer

\(\boxed{0.539 \, \text{g} \cdot \text{mL}^{-1}}\)

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