Solution - Chem-is

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Marcus Hong, Steven Jiang
Ch. 4,13 Solution Test
1) You are in a study group with Daisy who asks you to solve homework problems
13.19. 𝐢𝐻3 𝑂𝐻g/mL in 0.786 g/mL and 0.793 g/mL respectively. A solution
contains 20.0 mL 𝐢𝐻3 𝑂𝐻 and 100.0 mL 𝐢𝐻3 𝐢𝑁. [15 points]
a) What is the mole fraction of methanol is the solution?
20 mL MeOH
0.793𝑔 𝑀𝑒𝑂𝐻 1 π‘šπ‘œπ‘™ 𝑀𝑒𝑂𝐻
100 mL 𝐢𝐻3 𝑂𝐻
ii) X =
π‘šπΏ 𝑀𝑒𝑂𝐻
32𝑔 𝑀𝑒𝑂𝐻
0.786𝑔 π‘šπ‘œπ‘™
= 1.917 mL 𝐢𝐻5 𝐢𝑁
π‘šπΏ
𝑁𝑀𝑒𝑂𝐻
𝑁𝑀𝑒𝑂𝐻 + π‘π‘Žπ‘“π‘‘π‘’π‘Ÿ
=
= 0.494 mole MeOH
41𝑔
0.494
0.494 + 1.917
= 0.205 mol
b) What is the molality of methanol is the solution?
molality=
𝑁𝑀𝑒𝑂𝐻
=
0.494 π‘šπ‘œπ‘™
π‘šπΏ
# π‘˜π‘” 𝐢𝐻3 𝐢𝑁 100 π‘šπΏ 𝐢𝐻3 𝐢𝑁 0.286𝑔
103 𝑔
π‘˜π‘”
= 6.28 molality
c) What is the molarity of the methanol in the solution?
3
𝑁𝑀𝑒𝑂𝐻 0.494 π‘šπ‘œπ‘™ 10 π‘šπΏ
molarity =
=
= 4.12 M
π‘‰π‘ π‘œπ‘™π‘› 120 π‘šπΏ π‘ π‘œπ‘™π‘›
𝐿
2) Emily is to prepare… in her group’s Beer’s law lab; describe and justify how Emily
can prepare such a solution [15 points]
a) 100.0 mL of a 250.0 mM 𝐢𝑒(𝑁𝑂3 )2 aqueous solution using water and solid
𝐢𝑒(𝑁𝑂3 )2* 3 𝐻2 𝑂.
i) Cu 1*68.5=68.5
𝑁𝑂3 2*62=124
𝐻2 𝑂 3*18=54
68.5+124+54=241.5
ii) # mol = [ ] V = 25.0
iii) 0.025 mol
241.5𝑔
π‘šπ‘œπ‘™
π‘šπ‘šπ‘œπ‘™
𝐿
100 mL
𝐿
π‘šπ‘œπ‘™
103 π‘šπΏ 103 π‘šπ‘šπ‘œπ‘™
= 0.025 mol
= 6.04g
iv) mix 6.04g 𝐢𝑒(𝑁𝑂3 )2 3 𝐻2 𝑂 𝑔𝑠 100 mL soln
b) Using the preceding 250.0 mM solution of 𝐢𝑒(𝑁𝑂3 )2, prepare 75.0 mL of 200.0
mM solution.
i) [dil] 𝑉𝑑𝑖𝑙 = [conc’d] π‘‰π‘π‘œπ‘›π‘′𝑑
200 mM (75 mL) = 250 mM * π‘‰π‘π‘œπ‘›π‘′𝑑
π‘‰π‘π‘œπ‘›π‘′𝑑 =
200 π‘šπ‘€ (75 π‘šπΏ)
250 π‘šπ‘€
= 60 mL
ii) mix 60 mL 250mM 𝐢𝑒(𝑁𝑂3 )2 gs 25 mL (or 15 mL)
3) Nathan added excess sodium phosphate to 65.0 mL solution containing magnesium
chloride, which formed 1.5g of a precipitate. [15 points]
a) What was the concentration of magnesium chloride before the addition of
sodium phosphate?
i) 2𝑃𝑂43− + 3𝑀𝑔2+ → 𝑀𝑔3 (𝑃𝑂4 )2
ii) 1.5g 𝑀𝑔(𝑃𝑂4 )2
1 π‘šπ‘œπ‘™ 𝑀𝑔(𝑃𝑂4 )2
3 π‘šπ‘œπ‘™ 𝑀𝑔2+
262𝑔 𝑀𝑔(𝑃𝑂4 )2 π‘šπ‘œπ‘™ 𝑀𝑔(𝑃𝑂4 )2
𝑁𝑀𝑔2+ 0.0172 π‘šπ‘œπ‘™ 103 π‘šπΏ
iii) [𝑀𝑔𝐢𝑙2 ] = [𝑀𝑔2+ ] or
𝑉
=
1.5 π‘šπΏ
𝐿
= 0.0172 mol 𝑀𝑔2+
= 0.26 M
b) What is the effect on your determination of magnesium chloride if excess
sodium phosphate was not added to the solution? Be specific and justify/rationalize your
answer.
3−
↓ 𝑃𝑂4 → ↓ 𝑀𝑔2 (𝑃𝑂4 )2 → ↓ 𝑁𝑀𝑔2+ → ↓ [𝑀𝑔𝐢𝑙2 ]
4) Haley’s group collected experimental datat to determine the empirical formula of a
sample of hydrated tin chloride using the same protocol as in your copper chloride lab.
What is the value of x, y, and x in 𝑆𝑒π‘₯ 𝐢𝑙𝑦 ∗ 𝑧𝐻2 𝑂? [20 points]
#g crucible
#g crucible +
sample; before
heat
#g crucible +
sample, after
1st heat
#g crucible +
sample, after
2nd heat
#g crucible +
sample, after
3rd heat
12.750
15.860
15.578
15.484
15.483
#g filter paper
#g filter paper + precipitate
7.885
13.896
i) #g 𝐻2 𝑂= 15.860 - 15.481= 0.377g 𝐻2 𝑂
ii) #g AgCl = 13.896 - 7.885 = 6.011g
%Cl in AgCl =
#𝑔 𝐢𝑙 𝑖𝑛 𝐴𝑔𝐢𝑙
#𝑔 𝐴𝑔𝐢𝑙
=
35.5
143.5
=
#𝑔 𝐢𝑙 𝑖𝑛 𝐴𝑔𝐢𝑙
6.011𝑔
#g Cl in cpd = #g Cl in AgCl = 1.487g Cl
iii) #g cpd = 15.485 - 12.750 = 2.733g
#g Sn = 2.733 - 1.487 = 1.246g Sn
iv) 0.377g 𝐻2 𝑂
1.487g Cl
π‘šπΏ 𝐻2 𝑂
18𝑔 𝐻2 𝑂
π‘šπ‘œπ‘™ 𝐢𝑙
= 0.04189
35.5𝑔 𝐢𝑙
π‘šπ‘œπ‘™ 𝑆𝑛
1.246g Sn
= 0.02094
118.7 𝑆𝑛
= 0.0105
v) Sn : Cl : 𝐻2 𝑂
0.0105 : 0.04184 : 0.02094
1 :
4 :
2
𝑆𝑛𝐢𝑙4 ∗ 2𝐻2 𝑂
5) Tony’s group has an unknown ionic sample, which is a colorless solution and forms a
precipitate when mixed with either π‘π‘Ž2 𝑆𝑂4or πΆπ‘œ(𝑁𝑂3 )2. Identify the unknown sample;
justify your answer, it has to be from the following table. [20 points]
π΅π‘ŽπΆπ‘™2
𝐢𝑒𝐢𝑙2
π‘π‘Ž2 𝐢𝑂3
π΅π‘Ž(𝑂𝐻)2
𝐢𝑒(𝑁𝑂3 )2
π‘π‘ŽπΌ
𝐢𝑒𝑆𝑂4
π‘π‘Žπ‘‚π»
π‘π‘Ž2 𝑆𝑂4
i) π‘π‘œπ‘™π‘œπ‘Ÿπ‘™π‘’π‘ π‘  → π‘›π‘œπ‘‘ 𝐢𝑒 𝑐𝑝𝑑 it’s Na or Ba cpd
ii) 𝑐𝑝𝑑 + π‘π‘Ž2 𝑆𝑂4 → 𝑝𝑝𝑑 ⇒ π‘›π‘œπ‘‘ π‘π‘Ž 𝑐𝑝𝑑 It’s Ba cpd
iii) 𝑐𝑝𝑑 + 𝐢𝑒(𝑁𝑂3 )2 → 𝑝𝑝𝑑 ⇒ π‘›π‘œπ‘‘ π΅π‘ŽπΆπ‘™2 it’s π΅π‘Ž(𝑂𝐻)2
**********************************
1) Ch.4 & 13 Solution(Partners: Ralph, Stephen & Gloria)
1. You are in a study group with Daisy, who asks you to solve homework problem 13.19.
The density of acetonitrile, CH3CN, and methanol, CH3OH is .786 g/mL and .791 g/mL,
respectively. A solution contains 20.0 mL CH3OH and 100.0 mL CH3CN
a. What is the mole fraction of methanol in the solution?
i)
20mL CH3OH(0.791CH3OH/1mL CH3OH) (1molCH3OH/32g CH3OH) =
0.494mol CH3OH
100mL CH3CN(0.786g/mL)(1mol/41g) = 1.917mol CH3CN
ii)
XCH3OH = nCH3OH/nCH3OH + nCH3CN = 0.494/(.494+1.917)=0.205
b. What is the molality of methanol in the solution?
Molality = nCH3OH/#kg CH3CN =0.494 mol/100mL CH3CN(mL/.786g)(10^3g/kg)
= 6.28
c. What is the molarity of methanol in the solution?
Molarity= nCH3OH/Vsoln = .494mol/120mL soln(10^3mL/L) = 4.12 M
2. Emily is to prepare…in her group’s Beer’s Law lab; describe and justify how Emily can
prepare such a solution.
a. 100.0 mL of a 250.0 mM Cu(NO3)2 aqueous solution using water and solid
Cu(NO3)2*3H2O
i)
Cu : 1x63.5 = 63.5
NO3: 2x62 = 124
H2O: 3x18 = 54
241.5
ii) # mol = [ ]V= 250mmol/L(100mL)(L/10^3mL)(1mol/10^3mmol) = .025 mol
iii)
.025mol(241.5g/mol)=6.04g
iv)
Mix 6.04g Cu(NO3)2*3H2O as 100 mL soln.
b. Using the preceding 250.0 mM solution of Cu(NO3)2, prepare 75.0 mL of 200.0 mM
solution.
i)
[dil]Vdil = [conc’d]Vconc’d
200mM(75mL)=250mM(Vconc’d)
Vconc’d = 200mM(75mL)/(250mM)= 60mL
ii)
Mix 60 mL 250mM Cu(NO3)2 as 75 mL (or 15 mL H2O)
3. Nathan added excess sodium phosphate to 65.0 mL solution containing magnesium
chloride, which formed 1.5g of a precipitate.
a. What was the concentration of magnesium chloride before the addition of sodium
phosphate?
i)
2PO43- + 3Mg+2 οƒ  Mg3(PO4)2
ii)
1.5g Mg3(PO4)2 (1molMg3(PO4)2)/(262g Mg3(PO4)2)(3mol Mg+2/1mol
Mg3(PO4)2 ) = .0172 mol
iii)
[MgCl2] = [Mg+2]= (nMg+2/V) = 0.0172mol/65mL(10^3mL/L)
= .26M
b. What is the effect on your determination of magnesium chloride if excess sodium
phosphate was not added to the sample? Be specific and justify/rationalize your
answer.
Small PO43- οƒ  small Mg3(PO4)2 οƒ  small nMg+2 οƒ  small [MgCl2]
(i)
(ii)
(iii)
Above
Above
Above
4. Haley’s group collected experimental data to determine the empirical formula of a sample
of hydrated tin chloride using the same protocol as in your copper chloride lab. What is
the value of x, y, and z in SnxCly * zH2O?
#g crucible
#g crucible +
#g crucible +
#g crucible +
#g crucible +
sample ; before sample; after
sample; after
sample; after
st
nd
3rd heat
heat
1 heat
2 heat
12.750
15.860
15.578
15.484
15.483
#g filer paper
#g filter paper + precipitate
7.885
13.896
i)
#g H2O = 15.860 – 15.483 = 0.377g H2O
ii)
#g AgCl = 13.896 – 7.885 = 6.011g
% Cl in AgCl = #g Cl in AgCl/#g AgCl = 35.5/143.5 = #g Cl in AgCl/ 6.011g
#g Cl in cpd = #g Cl in AgCl = 1.487g Cl
iii)
#g cpd = 15.483 – 12.750 = 2.733g
#g Sn = 2.733 – 1.487 = 1.246g Sn
iv)
0.377g H2O(1mL H2O/18g H2O) = .02094
1.487g Cl(1mol Cl/35.5g Cl) = 0.04189
1.246g Sn(1mol Sn/118.7g Sn) = .0105
v)
Sn: Cl: H2O
.0105 : .04189: .02094
1 : 4 : 2
SnCl4*2H2O
5. Tony’s group has an unknown ionic sample, which is a colorless solution and forms a
precipitate when mixed with either Na2SO4 or Co(NO3)2, but not Ba(NO3)2. Identify
the unknown sample; justify your answer; it has to be from the following table.
Na2CO3
BaCl2
CuCl2
Ba(OH)2
Cu(NO3)2
NaI
CuSO4
NaOH
Na2SO4
i)
ii)
iii)
iv)
Colorless οƒ  not Cu cpd; it’s Na or Ba cpd
Cpd + Na2SO4 οƒ  ppt οƒ  not Na cpd; it’s Ba cpd
Cpd + Co(NO3)2 οƒ  ppt οƒ  not BaCl; it’s Ba(OH)2.
Cpd + Ba(NO3) οƒ  no ppt οƒ  not needed
Ba(OH)2
*************************************************************************
Gloria Lau
Solution
1. You are in a study group with Daisy, who asks you to solve homework problem 13.19. The
density of acetonitrile, CH3OH and 100.0mL CH3CN. [15 points]
a. What is the mole fraction of methanol in the solution?
0.791𝑔 𝑀𝑒𝑂𝐻 1 π‘šπ‘œπ‘™ 𝑀𝑒𝑂𝐻
i.
20mL MeOH
ii.
100mL CH3CN
iii.
X(MeOH) =
1 π‘šπΏ 𝑀𝑒𝑂𝐻
32 𝑔 𝑀𝑒𝑂𝐻
0.786 𝑔 1 π‘šπ‘œπ‘™
1 π‘šπΏ
41 𝑔
𝑛(𝑀𝑒𝑂𝐻)
𝑛(𝑀𝑒𝑂𝐻) + 𝑛(𝐢𝐻3𝐢𝑁)
= 0.494 mol MeOH
= 0.917 mol CH3CN
=
0.494
0.494 + 1.917
= 0.20g
b. What is the molality of methanol in the solution?
Molality =
𝑛
# π‘˜π‘”
=
0.494 π‘šπ‘œπ‘™
π‘šπΏ
103 𝑔
100 π‘šπΏ πΆβ„Ž3𝐢𝑁 0.786 𝑔 π‘˜π‘”
= 6.28 molal
c. What is the molarity of methanol in the solution?
M=
𝑛
𝑉
=
0.494 π‘šπ‘œπ‘™
103 π‘šπΏ
120 π‘šπΏ π‘ π‘œπ‘™π‘›
𝐿
= 4.12 M
2. Emily is to prepare… in her group’s Beer’s Law lab. Describe and justify how Emily can
prepare such a solution. [15 points]
a. 100.0mL of a 250.0mM Cu(NO3)2 aqueous solution using water and solid Cu(NO3) ×
3 H2O.
i.
Cu: 63.5
NO3: 124
Cu + NO3 + H2O = 241,5
H2O: 54
250 π‘šπ‘€
𝐿
#mol = [ ]V =
iii.
2.5E-4 mol
iv.
mis 6.04 g Cu(No3)2 × 3H2O into 100mL soln
𝐿
241.5 𝑔
π‘šπ‘œπ‘™
100mL
π‘šπ‘œπ‘™
ii.
103 π‘šπΏ 103 π‘šπ‘€
= 2.5E-4 mol
= 6.04 g
3. Nathan added excess sodium phosphate to 65.0mL solution containing magnesium
chloride, which formed 1.5 g of precipitate? [15 points]
a. What was the concentration of magnesium chloride before the addition of sodium
phosphate?
i.
2PO43- + 3Mg2+ → Mg3(PO4)2
ii.
1.5 g Mg(PO4)2
iii.
[MgCl2] = [Mg+] =
π‘šπ‘œπ‘™ 𝑀𝑔(𝑃𝑂4)2
3 π‘šπ‘œπ‘™ 𝑀𝑔2+
262 𝑔 𝑀𝑔(𝑃𝑂4)2 π‘šπ‘œπ‘™ 𝑀𝑔(𝑃𝑂4)2
𝑛(𝑀𝑔2+)
𝑉
=
= 0.0172 mol Mg+
0.0172 π‘šπ‘œπ‘™ 103 π‘šπΏ
65 π‘šπΏ
𝐿
= 0.26 M
b. What is the effect on your determination of magnesium chloride if excess sodium
phosphate was not added to the solution? Be specific and justify/ rationalize your
answer.
↓Po43- →↓Mg3 (PO4)2 →↓n(Mg2+) →↓[MgCl2]
4. Hailey’s group collected experimental data to determine the empirical formula of a sample
of hydrated tin chloride using the same protocol as in your copper chloride lab. What is
the value of x, y, and z in SnXCly ×zH2O? [20 points]
#g crucible
#g crucible +
sample before
heat
#g crucible +
sample after
1st heat
#g crucible +
sample after
2nd heat
#g crucible +
sample after
3rd heat
12.750
15.860
15.578
15.484
15.483
#g filter paper
#g filter paper + precipitate
7.885
13.896
i.
#g H2O = 15.860 - 15.483 = 0.377g H2O
ii.
#g AgCl = 13.896 - 7.885 = 6.011g
%Cl in AgCl =
#𝑔 𝐢𝑙 𝑖𝑛 𝐴𝑔𝐢𝑙
#𝑔 𝐴𝑔𝐢𝑙
=
35.5
143.5
=
#𝑔𝐢𝑙 𝑖𝑛 𝐴𝑔𝐢𝑙
6.011 𝑔
#g Cl in AgCl = 1.487g Cl
iii.
#g cpd = 15.48g - 12.750 = 2.733g
#g Sn = 2.733 - 1.487 = 1.246g Sn
iv.
0.377g H2O
1.487g Cl
1.246g Sn
v.
π‘šπΏ 𝐻2𝑂
18𝑔 𝐻2𝑂
π‘šπ‘œπ‘™ 𝐢𝑙
35.5𝑔 𝐢𝑙
= 0.02094
= 0.04189
π‘šπ‘œπ‘™ 𝑆𝑛
118.7𝑔 𝑆𝑛
= 0.0105
Sn : Cl : H2O
0.0105 : 0.04184 : 0.02094
SnCl4 × 2H2O
5. Tony’s group has an unknown ionic sample, which is a colorless solution and a precipitate
when mixed with either Na2So4 or Co (NO3)2, but not Ba(NO3)2. Identify the unkown sample;
justify your answer; it has to be from the following table. [20 points]
BaCl2
CuCl2
Na2CO3
Ba(OH)2
Cu(NO3)2
NaI
CuSO4
NaOH
Na2SO4
i.
colorless → not Cu cpd (either Na or Ba)
ii.
cpd + Na2So4 →ppt →not Na (so Ba)
iii.
cpd + Cu(NO3)2 →ppt →not BaCl2 (so Ba(OH)2)
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