Final answer:
The correct answer is option B. 0.081 mg. You multiply the percentage concentration by the mass after converting the percentage to a decimal. Then, convert the resulting grams to milligrams while maintaining the correct number of significant figures.
Step-by-step explanation:
The correct answer is option B. 0.081 mg. To solve this problem, we need to convert the percentage into a decimal by dividing by 100, so 3.0 mg% becomes 0.03 mg/g. Then, we multiply by the given mass in grams, which is 0.027 g. Remembering that 1 g = 1000 mg, the calculation will look like this:
- 0.03 mg/g × 0.027 g = 0.00081 mg
- To convert grams to milligrams: 0.00081 g × 1000 mg/g = 0.81 mg
We must ensure the result has the correct number of significant figures. Since the least number of significant figures in the given numbers is two (3.0 mg is two significant figures), our answer should also be in two significant figures, which is 0.81 mg. Therefore, option B is the correct choice.
To solve this problem, we need to multiply the given values: (3.0 mg%) multiplied by (0.027 g).
First, we need to convert the percentage into a decimal. To do this, we divide the percentage by 100: 3.0 mg% / 100 = 0.03.
Then, we multiply 0.03 by 0.027 g: 0.03 * 0.027 g = 0.081 mg.
Therefore, the result of (3.0 mg%) * (0.027 g) is 0.081 mg, which is option B.