Question

Perform each of the following conversions using metric conversion factors:

a. $44.2$mL to liters

b. $8.65$m to nanometers

c. $5.2\times {10}^8$g to megagrams

d. $0.72$Ks to milliseconds

Short answer

a.$0.0422\mathrm{L}$

b.$8.65\times {10}^9\mathrm{nm}$

c.$5.2\times {10}^2\mathrm{Mg}$

d.$7.2\times {10}^5\mathrm{ms}$

Step-by-step solution

Part (a) Given Information

Unit conversion for mL to L

Part (a) Explanation

The metric unit of volume is Liters$\left(\mathrm{L}\right)$. In hospitals or laboratories volume is measured in milliliters$\left(\mathrm{mL}\right)$.

localid="1651724747264" $1\mathrm{mL}=1000\mathrm{L}$

So, 44.2 mL will be:

Part (b) Given Information

Unit conversion of m to nm

Part (b) Explanation

The metric and SI unit of length is meters $\left(\mathrm{m}\right)$

role="math" localid="1651725113400" $1\mathrm{m}={10}^9\mathrm{nm}$

So, 8.65 m will be:

$8.65\mathrm{m}=8.65\times {10}^9\mathrm{nm}$

Part (c) Given Information

Unit conversion of g into Mg

Part (c) Explanation

In laboratories, the mass is measured in megagrams$\left(\mathrm{Mg}\right)$.

$1\mathrm{g}={10}^{-6}\mathrm{Mg}$

So, $5.2\times {10}^8\mathrm{g}$will be

$5.2\times {10}^8\mathrm{g}=5.2\times {10}^8\times {10}^{-6}=5.2\times {10}^2\mathrm{Mg}$

Part (d) Given Information

Unit conversion of Ks to ms

Part (d) Explanation

The unit conversion for Ks into ms can be given as:

$1\mathrm{Ks}={10}^7\mathrm{ms}$

So, 0.72 Ks will be

$$\begin{gathered} 0.72\mathrm{Ks}=0.72\times {10}^7\mathrm{ms} \\ \mathrm{or} \\ 7.2\times {10}^5\mathrm{ms} \end{gathered}$$