Dimensional Analysis Practice – IV KEY A.1. A.2. B.3. B.4. C.5. C.6. D.7. D.8. E.9. Page 1 of 2 5 4 83.0 4.0 8.230 x 10–3 4.56 x 105 4.7 x 10–1 7.6 x 107 d), b), a), e), c) 1m
1km
×
= 0.050km 1000mm 1000m
1000g 100cg
0.0074kg ×
×
= 7400cg kg
1g
1L
831mL ×
= 0.831L 1000mL
1cm 3
50.0g ×
= 52.6cm 3 0.950g
3.1g
= 8.9 g cm 3 0.35cm 3
19.3g
4.5cm 3 ×
= 868.5cm 3 ⎯sig.
⎯figs.
⎯→ 870cm 3 cm 3
volume = 15.00 −10.00mL = 5.00mL ⎯
⎯→ 5.00cm 3
F.14. 5.0 × 10 4 mm ×
F.15. € F.16. € G.17. € G.18. € G.19. €
€
H.21. € H.22. H.23. H.24. € H.25. I.26. I.27. €
I.28. €
I.29 €
€
39.35g
g
3 = 7.87 cm 3
5.00cm
metal is iron ( Fe)
7days 24hours 60min 60sec
2weeks ×
×
×
×
= 1,209,600sec ⎯sig.
⎯figs.
⎯→ 1 × 10 6 sec week
day
hour
min
km/h 1.819337 x 10–41  2 x 10–41 1 frizzle = 2.53 frizzles  3 frizzles 4.38 x 109in  4 x 109in 1in
75cm ×
= 29.2528in ⎯sig.
⎯⎯
→ 30in figs
2.54cm
0.03527oz 1lb
2300g ×
×
= 5.07 ⎯sig.
⎯figs.
⎯→ 5.1 1g
16oz
12in
6.0 ft +10in = 6.0 ft ×
+10in = 72in +10in = 82in
ft
2.54cm
82in ×
= 208.28cm ⎯sig.
⎯figs.
⎯→ 210cm
in
1L
1qt
8100mL ×
×
= 8.55965qt ⎯sig.
⎯figs.
⎯→ 8.6qt 1000mL 0.9463L
G.20. density =
Dimensional Analysis Practice – IV KEY I.30 I.31 I.32 € I.33. I.34. € I.35. I.36. I.37. 1min
1h
1day
1y
×
×
×
= 12.50y 60sec 60min 24h 365.25days
35mi
1km
1000m
1h
1min
×
×
×
×
= 15.65 m s ⎯sig.
⎯figs.
⎯→ 16 m s h
0.6214mi
1km
60min 60sec
6.529 x 107 2.59 x 106 7.592 x 10–4 5.98 x 10–18 9.56819 x 106 3.945 × 10 8 sec×
6.02 × 10 23 molecules
= 1.237 × 10 23 molecules ⎯sig.
⎯figs.
⎯→ 1.24 × 10 23 molecules 18.0mL
41¢ $1.00
1L
4qt $1.55
×
×
×
=
I.38. gal 1L
100¢ 1.057qt 1gal
0.789g
35mL ×
= 27.615g
mL
1.39. 27.615g
+
44.28g
=
71.895g
⎯
⎯
⎯
→
72g
sig. figs.
€
1.40. 6bippy 8 pringle
3blip
4 clips 10 knip
1knop ×
×
×
×
×
= 6.4 knips ⎯sig.
⎯figs.
⎯→ 6 knips 1knop 10bippy 18 pringle 5blips 1clip
€
3.70mL ×
€
Page 2 of 2 €