Which of the following is the correct conversion of 0.25 mg to mL, assuming the density of the substance is 1.00 g/mL?
A
0.00025 mL
B
2.5 mL
C
0.25 mL
D
0.025 mL
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1
Identify the given information: mass = 0.25 mg and density = 1.00 g/mL. Note that density relates mass and volume by the formula \(\text{density} = \frac{\text{mass}}{\text{volume}}\).
Convert the mass from milligrams (mg) to grams (g) because the density is given in g/mL. Use the conversion factor \(1\ \text{g} = 1000\ \text{mg}\), so \(0.25\ \text{mg} = 0.25 \times 10^{-3}\ \text{g}\).
Rearrange the density formula to solve for volume: \(\text{volume} = \frac{\text{mass}}{\text{density}}\).
Substitute the converted mass and the given density into the volume formula: \(\text{volume} = \frac{0.25 \times 10^{-3}\ \text{g}}{1.00\ \text{g/mL}}\).
Calculate the volume in mL by performing the division, which will give the volume corresponding to 0.25 mg of the substance with the given density.