Questions: Homework 9 Question 11 of 25 (0.4 points) Question Attempt 1 of Unlimited 1 2 3 4 5 6 7 8 9 10 11 Determine the volume (in L) of a 0.347 M solution that contains 0.483 mol K3PO4. Be sure your answer has the correct number of significant figures. L of solution

Homework 9 Question 11 of 25 (0.4 points) Question Attempt 1 of Unlimited 1 2 3 4 5 6 7 8 9 10 11 Determine the volume (in L) of a 0.347 M solution that contains 0.483 mol K3PO4. Be sure your answer has the correct number of significant figures. L of solution
Transcript text: Homework 9 Question 11 of 25 (0.4 points) | Question Attempt 1 of Unlimited $\checkmark 1$ $\checkmark 2$ $\checkmark 3$ $\checkmark 4$ $\checkmark 5$ $\checkmark 6$ $\checkmark 7$ $\checkmark 8$ $\checkmark 9$ $\checkmark 10$ 11 Determine the volume (in L) of a 0.347 M solution that contains 0.483 mol $\text{K}_3\text{PO}_4$. Be sure your answer has the correct number of significant figures. L of solution Check Save For Later Submit
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Solution

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Solution Steps

Step 1: Understand the Relationship Between Moles, Molarity, and Volume

Molarity (\(M\)) is defined as the number of moles of solute per liter of solution. The formula to find the volume of a solution when the moles and molarity are known is:

\[ M = \frac{\text{moles of solute}}{\text{volume of solution in liters}} \]

Rearranging this formula to solve for volume gives:

\[ \text{Volume of solution (L)} = \frac{\text{moles of solute}}{M} \]

Step 2: Substitute the Given Values into the Formula

We are given:

  • Moles of \(\text{K}_3\text{PO}_4 = 0.483\) mol
  • Molarity of the solution = 0.347 M

Substitute these values into the formula:

\[ \text{Volume of solution (L)} = \frac{0.483 \, \text{mol}}{0.347 \, \text{M}} \]

Step 3: Calculate the Volume

Perform the division to find the volume:

\[ \text{Volume of solution (L)} = \frac{0.483}{0.347} \approx 1.3911 \, \text{L} \]

Step 4: Apply Significant Figures

The number of significant figures in the answer should match the least number of significant figures in the given data. Here, both the moles and molarity are given to three significant figures. Therefore, the volume should also be reported to three significant figures.

Final Answer

\[ \boxed{1.39 \, \text{L}} \]

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