Question

1. convert 1.60 gl of ethanol in microliters.
2. convert 2.5 x 10^(-3) g of vitamin a in zeptograms.
3. the greatest distance between earth and the sun during earth’s revolution is 152 m kilometers. what is this distance in megameters?

Explanation:

Step1: Recall volume conversion factor

1 GL (gigaliter) = $10^{9}$ L and 1 L = $10^{6}$ μL (microliter), so 1 GL=$10^{9}\times10^{6}=10^{15}$ μL.

Step2: Convert 1.60 GL to microliters

$1.60\text{ GL}\times10^{15}\frac{\text{μL}}{\text{GL}} = 1.60\times10^{15}\text{ μL}$

Step3: Recall mass - conversion factor

1 g (gram) = $10^{21}$ zg (zeptogram)

Step4: Convert 2.5×$10^{-3}$ g to zeptograms

$2.5\times10^{-3}\text{ g}\times10^{21}\frac{\text{zg}}{\text{g}}=2.5\times10^{18}\text{ zg}$

Step5: Recall length - conversion factor

1 km (kilometer) = $10^{-3}$ Mm (megameter)

Step6: Convert 152 km to megameters

$152\text{ km}\times10^{-3}\frac{\text{Mm}}{\text{km}} = 0.152\text{ Mm}$

Answer:

1. $1.60\times10^{15}$ μL
2. $2.5\times10^{18}$ zg
3. 0.152 Mm