What is the osmolarity of 50% (w/v) MgSO4 solution? (MW = 120.4 g/mol). Round
your final answer to the nearest whole number.
Answer =
mOsmol/L

To calculate the osmolarity of a 50% (w/v) MgSO₄ solution, follow these steps:

### Step 1: Understand the Definition of 50% (w/v)
- A 50% (w/v) solution means 50 grams of solute (MgSO₄) per 100 mL of solution.
- So, we have **50 grams of MgSO₄ in 100 mL of solution**.

### Step 2: Calculate the Molarity (mol/L)
We need to find how many moles of MgSO₄ are in 1 liter (1000 mL) of solution. First, convert 50 grams of MgSO₄ in 100 mL to grams per liter:
\[
\frac{50 \text{ g}}{100 \text{ mL}} \times 1000 \text{ mL/L} = 500 \text{ g/L}
\]
Next, use the molecular weight (MW) of MgSO₄ (120.4 g/mol) to find the molarity:
\[
\text{Molarity} = \frac{500 \text{ g/L}}{120.4 \text{ g/mol}} \approx 4.15 \text{ mol/L}
\]

### Step 3: Calculate the Osmolarity (mOsmol/L)
MgSO₄ dissociates into two particles in solution: \( \text{Mg}^{2+} \) and \( \text{SO}_4^{2-} \).
Thus, for every 1 mole of MgSO₄, there are 2 osmoles of particles. Therefore, osmolarity is:
\[
\text{Osmolarity} = 4.15 \text{ mol/L} \times 2 = 8.30 \text{ Osmol/L} = 8300 \text{ mOsmol/L}
\]

### Final Answer:
The osmolarity of the 50% (w/v) MgSO₄ solution is **8300 mOsmol/L**, rounded to the nearest whole number.

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Do you want more details or have any questions about this?  
Here are 5 questions to expand your understanding:
1. How does dissociation affect the osmolarity of a solution?
2. Why is osmolarity important in medical and biological contexts?
3. How would the osmolarity change if MgSO₄ only partially dissociated?
4. What is the difference between molarity and osmolarity?
5. How do different solutes affect the tonicity of a solution?

**Tip:** When calculating osmolarity, always account for how many particles a solute dissociates into in solution!

What is the osmolarity of 50% (w/v) MgSO4 solution? (MW = 120.4 g/mol). Round your final answer to the nearest whole number.

Learn how to calculate the osmolarity of a 50% (w/v) MgSO4 solution. This problem involves determining molarity and using dissociation principles to calculate osmolarity. Detailed step-by-step explanation provided for high school chemistry students.

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