High School

How many milligrams are in a 1 tbsp dose of a liquid medication if there are 2 grams in 4 fl oz?

Answer :

There are 250 milligrams in a tablespoon dose of a liquid medication.

Given: 2 grams = 4 fl oz

We need to determine the number of milligrams in 1 tbsp dose of a liquid medication.

To solve this problem, we need to understand the relationship between grams and milligrams.

1 gram (g) = 1000 milligrams (mg)

Therefore, 2 grams = 2 × 1000 = 2000 milligrams (mg)

Now, we know that 4 fl oz is equivalent to 2000 mg.1 fl oz is equivalent to 2000/4 = 500 mg.

1 tablespoon (tbsp) is equal to 1/2 fl oz.

Therefore, the number of milligrams in 1 tbsp dose of a liquid medication is:

1/2 fl oz = 500/2 = 250 mg

To determine the number of milligrams in a tablespoon dose of a liquid medication, we need to understand the relationship between grams and milligrams.

One gram (g) is equal to 1000 milligrams (mg). Given that 2 grams are equivalent to 4 fluid ounces (fl oz), we can determine the number of milligrams in 1 fl oz by dividing 2 grams by 4, which gives us 500 milligrams.

Since 1 tablespoon is equal to 1/2 fl oz, we can determine the number of milligrams in a tablespoon by dividing 500 milligrams by 2, which gives us 250 milligrams.

Therefore, there are 250 milligrams in a tablespoon dose of a liquid medication.

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There are approximately 253.5 mg of the liquid medication in a 1 tablespoon dose.

To find out how many milligrams are in a 1 tablespoon (tbsp) dose of a liquid medication when we know there are 2 grams in 4 fluid ounces (fl oz), we will follow these steps:

  1. Convert grams to milligrams:

    • We know that 1 gram (g) is equal to 1000 milligrams (mg).
    • Therefore, 2 grams is equal to:
      [tex]2 \text{ g} \times 1000 \text{ mg/g} = 2000 \text{ mg}[/tex]
  2. Convert fluid ounces to milliliters:

    • The conversion factor we need is that 1 fluid ounce is approximately equal to 29.57 milliliters.
    • Thus, 4 fluid ounces is equal to:
      [tex]4 \text{ fl oz} \times 29.57 \text{ ml/fl oz} \approx 118.3 \text{ ml}[/tex]
  3. Calculate the concentration of the medication:

    • We now know we have 2000 mg of medication in approximately 118.3 ml.
    • To find the concentration in mg per ml, we do:
      [tex]\frac{2000 \text{ mg}}{118.3 \text{ ml}} \approx 16.9 \text{ mg/ml}[/tex]
  4. Determine the volume of 1 tbsp in milliliters:

    • There are 15 milliliters in 1 tablespoon.
  5. Calculate the amount of medication in 1 tbsp:

    • Using the concentration we found earlier, we can calculate the amount of medication in 15 ml:
      [tex]15 \text{ ml} \times 16.9 \text{ mg/ml} \approx 253.5 \text{ mg}[/tex]