Using dimensional analysis, how many liters is 0.25 mL measured on a 1 mL syringe?

• A. 2.5 imes 10^{-4} L
• B. 0.025 L
• C. 2.5 imes 10^{-3} L
• D. 0.25 L

Answer: (A)

Verified step by step guidance

1. Identify the given quantity and the units you want to convert. Here, you have 0.25 mL and want to convert it to liters (L).
2. Recall the conversion factor between milliliters and liters: \$1 \text{ mL} = 1 \times 10^{-3} \text{ L}$.
3. Set up the dimensional analysis by multiplying the given volume by the conversion factor to cancel out milliliters and introduce liters: \$0.25 \text{ mL} \times \frac{1 \times 10^{-3} \text{ L}}{1 \text{ mL}}$.
4. Perform the multiplication of the numerical values while ensuring the units cancel properly, leaving you with liters as the unit.
5. Express the final answer in scientific notation or decimal form as appropriate, matching the significant figures from the original measurement.