Chapter 1: Problem 58
Use metric conversion factors to solve each of the following problems: a. The daily value of phosphorus is \(800 \mathrm{mg}\). How many grams of phosphorus are recommended? b. A glass of orange juice contains \(0.85 \mathrm{dL}\) of juice. How many milliliters of orange juice is that? c. A package of chocolate instant pudding contains \(2840 \mathrm{mg}\) of sodium. How many grams of sodium is that?
Short Answer
Expert verified
a. 0.8 gb. 85 mLc. 2.84 g
Step by step solution
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
milligrams to grams conversion
Metric conversions are crucial in chemistry and everyday life, especially with smaller units like milligrams and grams.
To convert milligrams (mg) to grams (g), remember that 1 gram is equal to 1000 milligrams.
So, we use the conversion factor: \[ 1 \text{ g} = 1000 \text{ mg} \].
For example, if you have 800 mg of a substance and want to convert it to grams, you divide it by 1000.
This gives: \[ \text{Grams} = \frac{800 \text{ mg}}{1000} = 0.8 \text{ g} \].
So, 800 mg is 0.8 grams.
This method works for any amount of milligrams you need to convert to grams.
To convert milligrams (mg) to grams (g), remember that 1 gram is equal to 1000 milligrams.
So, we use the conversion factor: \[ 1 \text{ g} = 1000 \text{ mg} \].
For example, if you have 800 mg of a substance and want to convert it to grams, you divide it by 1000.
This gives: \[ \text{Grams} = \frac{800 \text{ mg}}{1000} = 0.8 \text{ g} \].
So, 800 mg is 0.8 grams.
This method works for any amount of milligrams you need to convert to grams.
deciliters to milliliters conversion
Understanding conversions between deciliters (dL) and milliliters (mL) is important in measuring liquids.
1 deciliter is equal to 100 milliliters, using the conversion factor: \[ 1 \text{ dL} = 100 \text{ mL} \].
To convert from deciliters to milliliters, you multiply the number of deciliters by 100.
For instance, if you have 0.85 dL of orange juice and want to convert it to milliliters, you would calculate: \[ \text{Milliliters} = 0.85 \text{ dL} \times 100 = 85 \text{ mL} \].
This means that 0.85 dL equals 85 mL.
Deciliters are not as commonly used as milliliters, so knowing this conversion can be very helpful.
1 deciliter is equal to 100 milliliters, using the conversion factor: \[ 1 \text{ dL} = 100 \text{ mL} \].
To convert from deciliters to milliliters, you multiply the number of deciliters by 100.
For instance, if you have 0.85 dL of orange juice and want to convert it to milliliters, you would calculate: \[ \text{Milliliters} = 0.85 \text{ dL} \times 100 = 85 \text{ mL} \].
This means that 0.85 dL equals 85 mL.
Deciliters are not as commonly used as milliliters, so knowing this conversion can be very helpful.
unit conversions in chemistry
Unit conversions are foundational in chemistry as they ensure accurate measurements.
Whether calculating doses, reactions, or concentrations, knowing how to convert units accurately is crucial.
Here are some general tips for unit conversions in chemistry:
Using the conversion factor \[ 1 \text{ g} = 1000 \text{ mg} \], divide 2840 by 1000: \[ \text{Grams of sodium} = \frac{2840 \text{ mg}}{1000} = 2.84 \text{ g} \].
This ensures precise measurement and consistency in results.
Whether calculating doses, reactions, or concentrations, knowing how to convert units accurately is crucial.
Here are some general tips for unit conversions in chemistry:
- Always know the basic conversion factors, like 1 liter = 1000 milliliters.
- Write down the unit you are converting from and to.
- Use the appropriate conversion factor to multiply or divide.
- Double-check your calculations to avoid errors.
Using the conversion factor \[ 1 \text{ g} = 1000 \text{ mg} \], divide 2840 by 1000: \[ \text{Grams of sodium} = \frac{2840 \text{ mg}}{1000} = 2.84 \text{ g} \].
This ensures precise measurement and consistency in results.
