One teaspoonful diluted to a quart results in a 1/5000 solution. What is the amount of potassium permanganate in grams required to fill this prescription?

To determine the amount of potassium permanganate required to fill this prescription, we need to follow a step-by-step process:

Step 1: Determine the desired concentration
In this case, the desired concentration is a 1/5000 solution. This means that for every 1 part of potassium permanganate, there will be 5000 parts of the solution.

Step 2: Convert teaspoonful to metric units
Since teaspoonful is not a standardized metric unit, we need to convert it to a more specific measurement. One teaspoon is approximately 5 milliliters (ml).

Step 3: Calculate the volume of solution
Given that the solution is diluted to a quart, we need to convert the quart to milliliters.
1 quart is equal to approximately 946.35 milliliters.

Step 4: Determine the ratio of potassium permanganate to the solution
For every 1 part of potassium permanganate, there will be 5000 parts of the solution.
Therefore, we can set up the following equation:
1 part potassium permanganate : 5000 parts solution

Step 5: Calculate the amount of potassium permanganate required
Since the potassium permanganate to solution ratio is 1:5000, the required amount of potassium permanganate will be:
1 part potassium permanganate / 5000 parts solution = amount of potassium permanganate (in grams) / total volume of solution (in milliliters)

We can now do the calculations:
1/5000 = x/946.35
Cross-multiplying, we get:
x = (946.35 * 1) / 5000
x ≈ 0.18927 grams

Therefore, the amount of potassium permanganate required to fill this prescription is approximately 0.18927 grams.