What is 500 mg in teaspoons?

Steps to Solve

1. Identify the density of the substance

To convert mass (in milligrams) to volume (in teaspoons), we need to know the density of the substance in question. For example, if we're converting for water, the density is approximately 1 g/mL or 1 mg/mL for our calculations.

2. Convert milligrams to grams

Since our density is typically provided in grams per milliliter, we need to convert milligrams into grams. We do this by remembering that:

$$ 1 \text{ gram} = 1000 \text{ milligrams} $$

Therefore,

$$ \text{grams} = \frac{500 \text{ mg}}{1000} = 0.5 \text{ g} $$

3. Calculate the volume using density

Using the formula for density, we can rearrange it to find volume:

$$ \text{Volume} = \frac{\text{Mass}}{\text{Density}} $$

Assuming the density is 1 g/mL (for water), we have:

$$ \text{Volume} = \frac{0.5 \text{ g}}{1 \text{ g/mL}} = 0.5 \text{ mL} $$

4. Convert milliliters to teaspoons

We now convert milliliters to teaspoons using the conversion factor:

$$ 1 \text{ teaspoon} \approx 4.9 \text{ mL} $$

So to find the volume in teaspoons:

$$ \text{teaspoons} = \frac{0.5 \text{ mL}}{4.9 \text{ mL/teaspoon}} \approx 0.102 \text{ teaspoons} $$