Question

*75. make the following conversions:
a. 0.44 ml/min to microliters per second
b. 7.86 g/cm² to milligrams per square millimeter
c. 1.54 kg/l to grams per cubic centimeter

Explanation:

Step1: Recall unit - conversion factors

1 mL = 1000 μL, 1 min = 60 s.

Step2: Convert 0.44 mL/min to μL/s

\[

$$\begin{align*} 0.44\frac{mL}{min}&=0.44\times\frac{1000\ \mu L}{60\ s}\\ &=\frac{440}{60}\ \mu L/s\\ &\approx7.33\ \mu L/s \end{align*}$$

\]

Step3: Recall unit - conversion factors for part b

1 g = 1000 mg, 1 cm = 10 mm, so 1 \(cm^{2}=(10\ mm)^{2}=100\ mm^{2}\).

Step4: Convert 7.86 g/cm² to mg/mm²

\[

$$\begin{align*} 7.86\frac{g}{cm^{2}}&=7.86\times\frac{1000\ mg}{100\ mm^{2}}\\ & = 78.6\ mg/mm^{2} \end{align*}$$

\]

Step5: Recall unit - conversion factors for part c

1 kg = 1000 g, 1 L = 1000 \(cm^{3}\).

Step6: Convert 1.54 kg/L to g/cm³

\[

$$\begin{align*} 1.54\frac{kg}{L}&=1.54\times\frac{1000\ g}{1000\ cm^{3}}\\ &=1.54\ g/cm^{3} \end{align*}$$

\]

Answer:

a. Approximately 7.33 μL/s
b. 78.6 mg/mm²
c. 1.54 g/cm³