Question

chemistry i prefix conversions hw convert the following. be sure to include units and show your work. 1. convert 972ml to l 2. 49622g to kg 3. 0.0000128m to μm 4. 448730mm to km 5. 1.20005x10^8 nm to cm 6. 44000dj to kj 7. 0.000663mn to kn 8. 1m^3 to dm^3 9. 8600.cm^3 to m^3 10. 1200cm^3 to l 11. 6.2x10^4 cm^3 to m^3 12. 18.6mm to cm

Explanation:

Step1: Recall conversion factor for mL to L

$1L = 1000mL$, so to convert mL to L, divide by 1000.
$972mL=\frac{972}{1000}L = 0.972L$

Step2: Recall conversion factor for g to kg

$1kg = 1000g$, so to convert g to kg, divide by 1000.
$49622g=\frac{49622}{1000}kg = 49.622kg$

Step3: Recall conversion factor for m to $\mu m$

$1m=10^{6}\mu m$, so to convert m to $\mu m$, multiply by $10^{6}$.
$0.0000128m = 0.0000128\times10^{6}\mu m=12.8\mu m$

Step4: Recall conversion factor for mm to km

$1km = 10^{6}mm$, so to convert mm to km, divide by $10^{6}$.
$448730mm=\frac{448730}{10^{6}}km=0.44873km$

Step5: Recall conversion factor for nm to cm

$1cm = 10^{7}nm$, so to convert nm to cm, divide by $10^{7}$.
$1.20005\times 10^{8}nm=\frac{1.20005\times 10^{8}}{10^{7}}cm = 12.0005cm$

Step6: Recall conversion factor for dJ to kJ

$1kJ = 10000dJ$, so to convert dJ to kJ, divide by 10000.
$44000dJ=\frac{44000}{10000}kJ = 4.4kJ$

Step7: Recall conversion factor for MN to kN

$1MN = 1000kN$, so to convert MN to kN, multiply by 1000.
$0.000663MN=0.000663\times1000kN = 0.663kN$

Step8: Recall conversion factor for $m^{3}$ to $dm^{3}$

$1m^{3}=1000dm^{3}$, so $1m^{3} = 1000dm^{3}$

Step9: Recall conversion factor for $cm^{3}$ to $m^{3}$

$1m^{3}=10^{6}cm^{3}$, so to convert $cm^{3}$ to $m^{3}$, divide by $10^{6}$.
$8600cm^{3}=\frac{8600}{10^{6}}m^{3}=0.0086m^{3}$

Step10: Recall conversion factor for $cm^{3}$ to L

$1L = 1000cm^{3}$, so to convert $cm^{3}$ to L, divide by 1000.
$1200cm^{3}=\frac{1200}{1000}L = 1.2L$

Step11: Recall conversion factor for $cm^{3}$ to $m^{3}$

$1m^{3}=10^{6}cm^{3}$, so to convert $cm^{3}$ to $m^{3}$, divide by $10^{6}$.
$6.2\times 10^{4}cm^{3}=\frac{6.2\times 10^{4}}{10^{6}}m^{3}=0.062m^{3}$

Step12: Recall conversion factor for mm to cm

$1cm = 10mm$, so to convert mm to cm, divide by 10.
$18.6mm=\frac{18.6}{10}cm = 1.86cm$

Answer:

1. $0.972L$
2. $49.622kg$
3. $12.8\mu m$
4. $0.44873km$
5. $12.0005cm$
6. $4.4kJ$
7. $0.663kN$
8. $1000dm^{3}$
9. $0.0086m^{3}$
10. $1.2L$
11. $0.062m^{3}$
12. $1.86cm$