If there are 24 mg in a teaspoon of liquid. How many grams are in 8 fl oz
The Correct Answer and Explanation is:
To find how many grams are in 8 fluid ounces (fl oz) when there are 24 milligrams (mg) in one teaspoon, we need to convert all units appropriately and then perform the calculation step by step.
Step-by-step Conversion:
- 1 teaspoon (tsp) = 24 mg
This is the amount of the substance in each teaspoon. - 1 fluid ounce = 6 teaspoons
This is a standard conversion in volume. - Therefore, 8 fluid ounces = 8 × 6 = 48 teaspoons
- If 1 teaspoon contains 24 mg, then 48 teaspoons contain:
48×24=115248 \times 24 = 115248×24=1152 milligrams - Convert milligrams to grams:
1152÷1000=1.1521152 \div 1000 = 1.1521152÷1000=1.152 grams
Final Answer:
There are 1.152 grams in 8 fluid ounces of the liquid.
Explanation
To convert the amount of a substance from one unit to another, we need to follow proper unit conversion steps. In this case, we know that one teaspoon of the liquid contains 24 milligrams. Our goal is to determine how many grams are present in 8 fluid ounces of the same liquid.
First, we convert fluid ounces to teaspoons. This is necessary because the original concentration is given per teaspoon. One fluid ounce is equal to six teaspoons. So, multiplying 8 fluid ounces by 6 gives us 48 teaspoons.
Now, since each teaspoon contains 24 milligrams, we multiply 48 teaspoons by 24 milligrams per teaspoon. This gives a total of 1,152 milligrams in 8 fluid ounces.
Next, we convert milligrams to grams. One gram is equal to 1,000 milligrams. To convert milligrams to grams, we divide the number of milligrams by 1,000. Dividing 1,152 milligrams by 1,000 gives us 1.152 grams.
This process highlights the importance of understanding unit relationships. Volume-to-volume conversions (fluid ounces to teaspoons) allow us to match the unit used for the dosage (teaspoons). Then, weight conversions (milligrams to grams) give us the final result in the desired unit.
In medical and scientific contexts, proper conversion ensures accurate dosages and safe administration. Mistakes in unit conversions can lead to serious consequences, especially in healthcare. That is why careful stepwise conversion is essential.
