What weight of potassium permanganate is required to prepare 250 mL of a solution such that 10 mL diluted to 1 litre will give a 1 in
10,000 solution?

To solve this problem, we need to calculate the weight of potassium permanganate (KMnO₄) required to prepare a solution with the specified concentration. Here's the step-by-step solution.

### Given:
1. We want 10 mL of the initial solution diluted to 1 liter to yield a 1 in 10,000 solution.
2. We need to prepare 250 mL of the initial solution.

### Steps:

1. **Interpret "1 in 10,000 solution":**
   - A "1 in 10,000" solution implies that there is 1 gram of solute in 10,000 mL of solution.
   - Therefore, in 1 L (1000 mL), we need:
     \[
     \text{Mass of KMnO}_4 = \frac{1}{10,000} \times 1000 = 0.1 \, \text{g}
     \]

2. **Determine concentration of the initial solution:**
   - If 10 mL of the initial solution provides 0.1 g when diluted to 1 L, then:
     \[
     \text{Concentration of initial solution} = \frac{0.1 \, \text{g}}{10 \, \text{mL}} = 0.01 \, \text{g/mL}
     \]

3. **Calculate total KMnO₄ required for 250 mL of the initial solution:**
   - Since the concentration of the initial solution is 0.01 g/mL, the amount of KMnO₄ required for 250 mL will be:
     \[
     \text{Weight of KMnO}_4 = 0.01 \, \text{g/mL} \times 250 \, \text{mL} = 2.5 \, \text{g}
     \]

### Answer:
To prepare the solution, **2.5 grams of potassium permanganate** is required to make 250 mL of the initial solution.

Would you like more details on the steps, or do you have any questions?

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Here are five related questions for further exploration:

1. What are the steps to dilute a concentrated solution to a desired molarity?
2. How does the concept of molarity differ from "1 in 10,000" notation in terms of concentration?
3. How can we calculate the dilution factor for a solution in different units?
4. What other methods can be used to achieve precise dilutions in laboratory settings?
5. How does the solubility of a compound like potassium permanganate affect solution preparation?

**Tip:** Always label and store solutions with details of their concentration and dilution factor to avoid confusion in future experiments!

What weight of potassium permanganate is required to prepare 250 mL of a solution such that 10 mL diluted to 1 litre will give a 1 in 10,000 solution?

Learn how to calculate the weight of potassium permanganate required to prepare a solution for a 1 in 10,000 dilution. This problem explores concentration, dilution, and solution preparation, with a focus on practical lab calculations. Suitable for students in Grades 9-11.

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