https://file.aiquickdraw.com/mathbot/file/1727796728650kudgt1x9.jpg

The problem provided asks to calculate the volume of seawater that must be evaporated to recover 0.925 kg of salt, with a given salt concentration of 35.5 g/L.

### Let's break it down step by step:

1. **Given values**:
   - Concentration of salt in seawater: \( 35.5 \, \text{g/L} \)
   - Mass of salt to be recovered: \( 0.925 \, \text{kg} \)

2. **Convert the mass of salt from kilograms to grams**:
   Since \( 1 \, \text{kg} = 1000 \, \text{g} \), we convert 0.925 kg to grams:
   \[
   0.925 \, \text{kg} = 0.925 \times 1000 \, \text{g} = 925 \, \text{g}
   \]

3. **Use the concentration formula**:
   The concentration of salt in seawater is given by:
   \[
   \text{Concentration} = \frac{\text{Mass of salt}}{\text{Volume of seawater}}
   \]
   Rearranging to solve for the volume of seawater, \( V \):
   \[
   V = \frac{\text{Mass of salt}}{\text{Concentration}}
   \]

4. **Substitute the known values**:
   \[
   V = \frac{925 \, \text{g}}{35.5 \, \text{g/L}}
   \]

5. **Calculate the volume**:
   \[
   V = \frac{925}{35.5} = 26.06 \, \text{L}
   \]

So, the volume of seawater that must be evaporated is approximately **26.1 L**, rounded to three significant digits, as the question implies.

---

Would you like further details or have any questions?

Here are 5 additional questions to expand your understanding:

1. How would the result change if the concentration of salt in seawater were different?
2. What is the significance of rounding to the correct number of significant digits?
3. How can this formula be applied to other concentration-related problems in chemistry?
4. What are other real-world examples where such concentration calculations are useful?
5. How does the density of water affect the salt concentration?

**Tip**: Always double-check unit conversions, as they can easily affect your final answer!

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 0.925 kg of salt.

Learn how to calculate the volume of seawater that must be evaporated to recover 0.925 kg of salt. This example uses the formula V = Mass / Concentration with a salt concentration of 35.5 g/L, and demonstrates unit conversion from kg to g. Suitable for students in Grades 10-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation