Question

A patient is to prepare one liter of a 1:5000 potassium permanganate (KMnO4) solution as a foot soak. 4 You have a stock solution of KMnO , 5%. How many milliliters of the stock solution must be used to prepare one liter of the foot soak?

Answer 1

To prepare a 1:5000 dilution of potassium permanganate from a 5% stock solution, 4 milliliters of the stock solution are needed to make one liter of the foot soak.

Step-by-step explanation:

To prepare one liter of a 1:5000 potassium permanganate (KMnO4) solution from a 5% stock solution, we must first understand what a 1:5000 dilution means. This dilution ratio indicates that 1 part of the solute (KMnO4) is present in 5000 parts of the solution. Essentially, it means that for every 1 gram of KMnO4, there should be 5000 grams of solution.

Since we want to prepare one liter (which is equivalent to 1000 milliliters or 1000 grams of water assuming the density is 1 g/mL), the amount of KMnO4 needed for a 1:5000 solution is:

Amount of KMnO4 = (1/5000) × 1000 grams = 0.2 grams

However, the stock solution is 5% KMnO4, which means that 5 grams of KMnO4 are present in every 100 mL of solution. To determine how many milliliters of the stock solution contain 0.2 grams of KMnO4, we can set up the following proportion:

(5 grams/100 mL) = (0.2 grams/V1 mL)

Solving for V1 gives us:

V1 = (0.2 grams × 100 mL) / 5 grams = 4 mL

Therefore, the patient must use 4 milliliters of the 5% stock solution to prepare one liter of the 1:5000 dilution potassium permanganate foot soak.

Answer 2

To prepare one liter of a 1:5000 potassium permanganate (KMnO4) solution, 0.2 milliliters of the 5% stock solution must be used.

Step-by-step explanation:

The ratio 1:5000 indicates that for every part of the solution, there is one part of the solute (KMnO4) and 5000 parts of the solution. To find the amount of the 5% stock solution needed, we can set up a proportion.

Let x be the amount of the 5% stock solution needed in milliliters. The proportion is set up as follows:

`\[ (x)/(100) = (1)/(5000) \]`

Cross-multiplying, we get:

`\[ x = (100 * 1)/(5000) = 0.2 \, \text{ml} \]`

Therefore, 0.2 milliliters of the 5% stock solution must be used to prepare one liter of the foot soak with a 1:5000 ratio of potassium permanganate.