A 6.77mass % aqueous solution of potassium hydroxide has a density of1.22g/mL. Calculate the molarity of the solution.

To calculate the molarity of the solution, we can follow these steps:

### Step 1: Determine the mass of KOH in the solution
Given that it's a 6.77 mass % solution, this means 6.77 grams of KOH are present in 100 grams of the solution.

### Step 2: Determine the total mass of the solution
Given the density of the solution is 1.22 g/mL, we can calculate the volume of the solution corresponding to 100 grams of mass.

\[
\text{Volume} = \frac{\text{Mass}}{\text{Density}} = \frac{100 \text{ g}}{1.22 \text{ g/mL}} = 81.97 \text{ mL}
\]

### Step 3: Convert the volume to liters
\[
\text{Volume in liters} = 81.97 \text{ mL} \times \frac{1 \text{ L}}{1000 \text{ mL}} = 0.08197 \text{ L}
\]

### Step 4: Calculate the number of moles of KOH
First, find the molar mass of KOH:
- \( \text{K} = 39.10 \text{ g/mol} \)
- \( \text{O} = 16.00 \text{ g/mol} \)
- \( \text{H} = 1.01 \text{ g/mol} \)

\[
\text{Molar mass of KOH} = 39.10 + 16.00 + 1.01 = 56.11 \text{ g/mol}
\]

Now, calculate the moles of KOH:
\[
\text{Moles of KOH} = \frac{6.77 \text{ g}}{56.11 \text{ g/mol}} = 0.1207 \text{ mol}
\]

### Step 5: Calculate the molarity of the solution
Finally, use the definition of molarity:
\[
\text{Molarity} = \frac{\text{Moles of solute}}{\text{Volume of solution in liters}} = \frac{0.1207 \text{ mol}}{0.08197 \text{ L}} \approx 1.47 \text{ M}
\]

### Answer:
The molarity of the solution is approximately **1.47 M**.

Would you like to go through the details or have any further questions?

Here are some related questions that might interest you:
1. How would the molarity change if the solution were more concentrated?
2. What is the molarity if the mass % of KOH is doubled in the same solution?
3. How do you calculate the molality of this solution?
4. What is the volume percentage of KOH in this solution?
5. How does the density of the solution affect the molarity?

**Tip:** When calculating molarity, always ensure that the volume of the solution is in liters and that the mass is converted into moles for accurate results.

Learn how to calculate the molarity of a 6.77% aqueous solution of potassium hydroxide with a density of 1.22 g/mL. Understand the steps involved, including determining mass, volume, moles of solute, and applying the molarity formula. Suitable for high school students studying chemistry.

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