객관식
Which conversion factor would you use to convert millimeters to miles?
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1. Intro to General Chemistry
Conversion Factors
객관식
Which of the following conversion factors can be used to convert nanograms (ng) to milligrams (mg)?
A
1 mg / 1,000 ng
B
1,000 ng / 1 mg
C
1 ng / 1,000 mg
D
1 mg / 1,000,000 ng
검증된 단계별 안내1
Understand the relationship between the units: 1 milligram (mg) is equal to 1,000,000 nanograms (ng). This is because 1 mg = 10^{-3} grams and 1 ng = 10^{-9} grams, so the difference in scale is 10^{6}.
To convert from nanograms to milligrams, you need a conversion factor that cancels out nanograms and introduces milligrams. This means the conversion factor should have nanograms in the denominator and milligrams in the numerator.
Write the conversion factor as a fraction: \(\frac{1\ mg}{1,000,000\ ng}\). This means for every 1,000,000 nanograms, there is 1 milligram.
Check the other options to see if they correctly represent the relationship and cancel units properly. For example, \(\frac{1,000\ ng}{1\ mg}\) would convert milligrams to nanograms, not the other way around.
Use the correct conversion factor by multiplying the quantity in nanograms by \(\frac{1\ mg}{1,000,000\ ng}\) to convert to milligrams, ensuring units cancel correctly and the value is converted properly.
