Express a 20 mL dose of Diphenhydramine Elixir in units of litre (L)

Question

BlackTom AI · Accepted Answer

1. Relevant knowledge points and concepts
Metric prefixes: "milli-" means one thousandth. Thus 1 millilitre (1 mL) = 0.001 litre (0.001 L). Equivalently, 1000 mL = 1 L. Converting from mL to L requires dividing the mL value by 1000.

2. Step-by-step reasoning
Start with the dose given in millilitres: 20 mL. Use the conversion factor 1 L = 1000 mL written as a fraction to cancel units:
20 mL × (1 L / 1000 mL).

3. Calculations with intermediate steps
20 mL × (1 L / 1000 mL) = (20 × 1) / 1000 L = 20 / 1000 L.
Compute the fraction: 20 ÷ 1000 = 0.020.
Round/truncate to standard decimal form: 0.020 L = 0.02 L.
Also expressible in scientific notation: 2.0 × 10^−2 L.

4. Why the correct answer is correct
Dividing 20 by 1000 exactly converts millilitres to litres because the milli- prefix denotes 10^−3. The arithmetic gives 0.02 L, which matches option c.

5. Why the other options are incorrect
a. 0.0002 L equals 0.0002 × 1000 = 0.2 mL, far smaller than 20 mL.
b. 0.002 L equals 0.002 × 1000 = 2 mL, still too small.
d. 0.2 L equals 0.2 × 1000 = 200 mL, ten times larger than 20 mL.
e. "none of the above" is incorrect because option c correctly equals 20 mL in litres.

6. Conclusion and confirmation
Using the conversion factor 1 L = 1000 mL and calculating 20/1000 yields 0.02 L; therefore the correct answer is c. 0.02 L, which matches the provided answer.

Express a 20 mL dose of Diphenhydramine Elixir in units of litre (L)单项选择题

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