A 500 gm of toothpaste sample has 2g of fluoride concentration. What is the concentration of fluoride in terms of ppm level?

To determine the concentration of fluoride in your toothpaste sample in parts per million (ppm), we can follow a straightforward calculation. Ppm is a way to express very dilute concentrations of substances, and it can be understood as milligrams of solute per liter of solution or, in this case, grams of solute per million grams of solution.

Understanding the Calculation

In your toothpaste sample, you have:

• Total mass of the toothpaste = 500 grams
• Mass of fluoride = 2 grams

To find the concentration in ppm, we can use the formula:

Formula for PPM

PPM = (mass of solute / mass of solution) × 1,000,000

Step-by-Step Calculation

Now, let’s plug in the values:

• Mass of solute (fluoride) = 2 grams
• Mass of solution (toothpaste) = 500 grams

Using the formula:

PPM = (2 g / 500 g) × 1,000,000

Now, perform the division:

PPM = (0.004) × 1,000,000

PPM = 4000

Final Result

The concentration of fluoride in your toothpaste sample is 4000 ppm. This means that for every million grams of toothpaste, there are 4000 grams of fluoride, indicating a relatively high concentration of fluoride in the sample.

Real-World Context

To put this into perspective, many dental products contain fluoride concentrations in the range of 1000 to 1500 ppm, which is considered effective for preventing tooth decay. Your sample, at 4000 ppm, is significantly higher, which may be suitable for specific therapeutic applications but should be used with caution to avoid excessive fluoride exposure.

In summary, the concentration of fluoride in your toothpaste sample is 4000 ppm, a figure that highlights the importance of understanding concentrations in everyday products.

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