Measurements have shown that the concentration of salt in seawater is 35.5 g.L. Calculate the volume in liters of seawater that must be evaporated to recover 525. g of salt. Round your answer to 3 significant digits. L D x

Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
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**Problem Statement:**

Measurements have shown that the concentration of salt in seawater is \(35.5 \, \text{g} \cdot \text{L}^{-1}\). Calculate the volume in liters of seawater that must be evaporated to recover \(525.\, \text{g}\) of salt.

Round your answer to 3 significant digits.

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**Solution:**

Given:
- Concentration of salt = \(35.5 \, \text{g} \cdot \text{L}^{-1}\)
- Desired mass of salt = \(525. \, \text{g}\)

To find the volume of seawater (\(V\)) needed, use the formula:
\[ V = \frac{\text{mass of salt}}{\text{concentration of salt}} \]

\[ V = \frac{525. \, \text{g}}{35.5 \, \text{g} \cdot \text{L}^{-1}} \]

\[ V = \frac{525}{35.5} \, \text{L} \]

Calculate \(V\) and round to 3 significant digits. 

**Interactive Calculation Box:**
- A text input labeled with "L" for students to enter their answer.
- Buttons for basic math operations and a reset button for the input.

---

This format ensures students understand how to use the formula and compute the volume of seawater needed to extract a specified mass of salt.
Transcribed Image Text:**Problem Statement:** Measurements have shown that the concentration of salt in seawater is \(35.5 \, \text{g} \cdot \text{L}^{-1}\). Calculate the volume in liters of seawater that must be evaporated to recover \(525.\, \text{g}\) of salt. Round your answer to 3 significant digits. --- **Solution:** Given: - Concentration of salt = \(35.5 \, \text{g} \cdot \text{L}^{-1}\) - Desired mass of salt = \(525. \, \text{g}\) To find the volume of seawater (\(V\)) needed, use the formula: \[ V = \frac{\text{mass of salt}}{\text{concentration of salt}} \] \[ V = \frac{525. \, \text{g}}{35.5 \, \text{g} \cdot \text{L}^{-1}} \] \[ V = \frac{525}{35.5} \, \text{L} \] Calculate \(V\) and round to 3 significant digits. **Interactive Calculation Box:** - A text input labeled with "L" for students to enter their answer. - Buttons for basic math operations and a reset button for the input. --- This format ensures students understand how to use the formula and compute the volume of seawater needed to extract a specified mass of salt.
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