Chemistry PreAP Dimensional Analysis Homework

Chemistry PreAP
Dimensional
Analysis
Homework
Packet
Name: ___________________________________Period:
___________
KEY
Pre-AP Chem
Chemistry Teacher:__________________
1
Metric Dimensional Analysis Worÿheet
Complete the following metric conversions using dimensional analysis (the factor-label method).
List the known, unknown, and the conversion factor(s) needed. If applicable, you may go
through the base unit and use 2 conversions as in (b) below, but it is not required. Box answers.
EXAMPLE:
Convert 93.2 cm to ram.
Known: 93.2 cm
Unlmown:
(a)
(b)
932 mm
93.2cm x 10m =
1 cm
? mm
Conversion factor:
or 93.2 cmx
1 cm = !0 mm
[tbr method (a)]
lm x 1000Iron=
100 cm
1m
932 mm
1, Convert 1.79 x 103 mL to kL
gmown: I/7'ÿ "t II) ÿt. Unknown: ? la L
Conversion factor: I z L * I O l° vo L
,OOf'Tq (ct.
2. Convert 709 ng to pg.
Known: 70q Bÿ,
7oq
Unknown: V U
'y
[,_
/
Iÿ° " 1°3 ÿ3
Conversion factor:
Ikm to3
_
3. Convert 5.937 km to m
gmown: K. q ? "7 ÿm Unlmown: 7
ff, qÿ7 ÿ/ÿ
Conversion factor:
{03
4. Convert 209,8 s to ns
Kmown: ÿoq,ÿ S
Unknown:
2 oq. ÿ s/
70S
fo q glB
I!
Conversion factor: I S
I2,oqÿ" ÿ (o" os
5. Convert 540,000 J to kJ
kKnown: ff 40l 000 Jÿ Urÿ,.own:?
o
Conversion factor: [ Iÿ_ÿ--ÿ [0 ÿ 3"ÿ
;'4o, 0ooA
2
Name
Per.
Dimensional AnaUysis Worksheet #4 (The Factor Label Method)
* Make sure you show your work to the right of each probBem using DA oniyo Place a box
26 pinto beans = 8 paper clips
13 pinto beans = 21 elbow macaroni
3 Nutrasweets = 1 Jolly Rancher
4 Jolly Ranchers = 12 paper clip
25 red beans = 2 Jolly Rancher
22,4 L = 1 mole
1 mole = 6,02 x 10 23 molecules
Part i: Convert the following using the conversion factors above.
1.
2 paper clips = (ÿ- ÿ- pinto beans
ÿÿ.y 2ÿG p,k==ÿ
2,
10 ,Jolly Ranchers = ÿ O . paper clips
3,
142 elbow mac = ÿ'7.9 pinto beans
4.
0.08 moles = 4,==.=ÿff,, 'f=LOrÿl-lecules 6.o ÿ" ÿ 'ÿ
5.
57.6 L = 2. ÿ"7 moles
6.
72 paper clips = .ÿ0 6 red beans
/v
6"?.
(0ÿ
,-
IH2. e,ÿ:ÿ. ÿ,
/-
A.o2.vco '?ÿlÿ3
,ÿ
2.z. .,ÿ/lÿ. -ÿ
,Z , d 7 tool
zcr.#.
Iÿ ÿ.ÿ
7.
604 elbow mac = ( f ÿ;__paper clips
8.
26 Nutrasweets = j Oÿ red beans
9,
0.072 L =/' ÿ ÿ ÿ ÿnÿolecules d, 0"TZ-ÿ , /wÿLf" -ÿ;>" ; .... fÿ'Pÿ', ,
= 115 p.o.
Z-I eÿ,
ÿ7 Nutrasweets
ÿ.ÿ z"z'ccÿ/'ÿ,e/ÿY3/ÿ/., v10, 89pintobeans=
.... . ,ÿ
,-i p, ÿ, ÿ ÿ ÿ . ÿ_.ÿ..2_' ,, 5 ÿ
.-ÿq
ÿ p,lÿ,
12- ÿ'ÿ.
11. 0,073 molecules =Z.q2'ÿ6L 6.o7ÿ/14ÿ [ÿoU'
"
4.
in
57.0L= /ÿ0 4 qt €ÿ.oÿv I.oe9ÿ .-
{j 15.
z'ete, V(6"
10.5km = ÿ,, ÿÿ
, ÿ , o k'ÿ ÿ
,
.
mi W.d/ÿ f
17. 27.23 ft = ÿ' Z.t,,, ÿ in ÿ.'7. z. ÿ.Fy
18. 0.437 kg = ...ÿ, 4
27rÿ,S,
'26 . .
Z.C'r. k
2j, v'-.
z, ÿ4ÿA-
65,0 oz = (ÿ" 4- O g
W'
ÿ-
"-" 2,7Z FrO-
Part 2: Convert the following using the conversion factors m your ÿ6%s. 12- f, .c.
35,6 cm = 14, 0
ÿ fo-/:ÿ= ÿ(0 ÿ/ci
I ' r"
!2. 20 elbowmacs=,!ÿ-. ÿ redbeans ÿe ÿ.m.,ÿ ÿ'- ÿ " ÿ.
2-1e.ÿ.
4 q#
q¢ÿ. e#
'
. ÿ "
;z,;ÿ/ÿ J' '
6"°zÿloÿd'4ÿ-
'
t24o3
(,,,¢3
tz. t,.,
oz O,Hÿqÿ
3
Name
Per,
Pre-AP Chemistry
Density Problems
Show complete set-ups,
@
If solving for density, use the density formula D=m/v, You must use dimensional analysis to
convert density units, if applicable,
4ÿ
If solving for mass or volume, use dimensional analysis, Use the density as a conversion factor.
,
!#
2,
What is the density of oxygen in g/L if 22,4 liters has a mass of 16,0 g?
V' ÿ
ÿ 2.4 L-..
The density of aluminum is 2,70 g/cm3, What volume in cm3 would 200, g of aluminum occupy?
¢ • '7 ÿ¢'
,
A 0,500 L graduated cÿM'der is filled with a material having a density of 2,07 g/cm3, Find the mass
of the material in grams,
o, ÿooÿ-"y. (ÿO00
,
"z
2-, o ? 9ÿl'ÿfÿ'ÿ/'. ]
The density of a sodiura'hydroxide solution is'1,1590 g/mL, What is the mass in grams of 1,00 L of
this solutio.n .ÿ
,
A student has a 70,0 g e of pure lead, He calculated the volume to be 6,20 cm3, What is the
1
A steel bar has a volume of 200, cm3 and a mass of 1,54 kg, Determine the density of steel in
density of lead in g/cma?
V
7ÿ
G. 2_0 c_4,ÿ ÿ
Using the density from #6 above, calculate t
,I I,,d,
,
"-
'
L
e of steel in cm3 that would be needed to form
, "7" 7 e
-
A block of brass has e mÿslons o1 10,2 cm x , cmx 3,4 cm, The brass has a mass of 315,05 g,
What is its density in g/cm3?
,1" 044a z,
9, A block of brass hasÿa mass of 575 g, usinÿÿ]irum-#B a"ÿ5oYe, calculate its volume in
cm3.
'ÿ' ÿ gÿe
!
.............
10, A cube of brass has an e length of 25,0 cm, Using the density from #8 above, calculate its
mass in grams,
V""ÿ(ÿ-.oc4,ÿ') ÿ = 15"ÿ2-ÿ" ÿ> IÿGOOd444
11, Find the density of a metal bÿ'ÿat has dimens'ÿmÿ o,Lrcm x ÿ,O-om-x z0T0-dmÿ
55,0 kg, Report your answer in g/cm3 and kg/m3, V" ÿ 6.0 q44a X ,ÿ, o ÿ ÿ" 2. ÿ, Oe,,ÿ.. --
V
qe, or.44i-" x
( ÿ a
4
Chemistry Dimensional Analysis Practice Problems
Solve using the Dimensional Analysis method ONLY. Be sure to show all workl
1, Sally's 1999 blue Chevy clunker will only reach a top speed of 45,8 mi/hr, How fast would this be in m/s?
2, Make a cSnversion factor to relate pÿm and m, and then calcol'at'e how many gnÿare in 5 m,
3. If a car gets 25.0 miles to the gallon of gasoline, hÿimany km could it travel on 1.0 L of gasoline?
4. If a person s heart beaÿn average of 70, times per minute/, how many days will it take for it to beat 3,0 million times?
.oÿ€oÿ
ÿ 3ÿ ÿ !ÿ'ÿf
ÿ
B. Light travels at a speed of 3,00 x/ÿÿ cm/s, What is the speed of light km/hr?
(0
| above, how manyÿinutes
/ {) 5 does it take
( VI41ÿ
I the
ÿ sun
r'*to the earth?
Lÿÿ
#
6. Bas
ed on the ÿestion
light to travel from
The=
earth is '.
approximately 1,5 x1ÿ3ÿ km from the sun,
. iÿoOle'ÿ
7, If 1 cent weighs 3,16 grams, what would be the dollar valu'ee of 1 metric ton of pennies? (1 metric ton =ÿ tÿ
I ÿA¢ÿ
1ÿ5V"
ÿ.,ÿAÿ ÿ too'--ÿ
8. If the density of copper is 8.933ÿ/cma, what is the'vo%me of 1 penny ÿn cma ? (HINT: use info provided in question #7)
• .
A tightly packed box of crackers contains 250 gramÿsdof crackers and measures .0(ÿ-cmÿ27 0 cm x i9 0 cm, Wh., ,ÿTh.ÿ '
average density n k,ograms per ,ter of the crackers in the packageÿ ÿssume ÿ"ÿ'ÿe ÿÿeg,i'gigla,"'ÿ
3ÿ'
37 ÿ
-
00-
o o
-
/O, tl k,ÿ / L I
5° (ÿ.15 10. A space scientist landed on #ars and stumbled up6n a chemical stockroom, He asked the Martian attendant for 28,0
&ÿ,ÿ,,oÿ ' grams
of formaldehyde
renew
theunits
fuel on
cellMars
for his
transmitter.
The
Martian
many
zooms= of
formaldehyde
is that?"toThe
mass
areradio
zings,
zooms, and
warps,
If 5 replied,
zings = "How
4 grams;
2 warps
3 zings;
V-£ÿ^ and 9 zooms = 5 warps, how many zooms did the space scientist request9
0,ÿ
/ O ÿ"
.,
ÿ -'7 ...,.,_ÿ
X - -_
'=
/
l
ÿ, 0 ÿO,:Snoÿ"
V¢'0ÿ 11. Cesium atoms are thÿ lYgest of the nÿurally occurring el6ments, They have a dlameter of 5,30 × 1040 m, Calculate the
)
ÿgmber of cesium atoms that would have to be lined up to give a row of cesium atoms 2,54 cm (1 inch) long,
L 5
, .,/A
3ÿon0ksÿcÿt.ÿ
/p-
--"
5

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