Question

A student weighed 3000 µg of sulfur in the lab. This is the same mass as

a) 3.000×10−4g


b) 3.000×106ng


c) 3.000×10−3mg

d) 3.000×10−4kg

Answer 1

The correct conversion of 3000 micrograms (ug) of sulfur is 3.000 × 10^6 nanograms (ng), making the correct answer (b) 3.000 × 10^6 ng.

Step-by-step explanation:

The student weighed 3000 µg of sulfur in the lab. To find the equivalent mass in other units, we need to apply the appropriate metric conversions. One microgram (µg) is 1/1000th of a milligram (mg), one milligram (mg) is 1/1000th of a gram (g), and one gram (g) is 1/1000th of a kilogram (kg).

Converting 3000 µg to other units gives us:

• 3.000 mg (since 3000 µg is the same as 3.000 mg)
• 0.003 g (because there are 1000 mg in 1 g, so 3.000 mg is 0.003 g)
• 3.000 × 10-6 kg (since 0.003 g is the same as 3.000 × 10-6 kg)
• 3.000 × 106 ng (as there are 1,000,000 ng in one milligram)

Comparing this with the options given in the question:

• 3.000 × 10-4 g is incorrect because 3000 µg equals 3.000 mg or 0.003 g
• 3.000 × 106 ng is correct
• 3.000 × 10-3 mg is incorrect because 3000 µg already equals 3.000 mg
• 3.000 × 10-4 kg is incorrect because 3000 µg equals 3.000 × 10-6 kg

Therefore, the correct option is (b) 3.000 × 106 ng.