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CHEMISTRY - OPENSTAX 2015E
CH.4 - STOICHIOMETRY OF CHEMICAL REACTIONS
CONCEPT: BALANCING CHEMICAL REACTIONS
When balancing an equation always make sure the ________ and ________ of atoms on both sides of the arrow are equal.
EXAMPLE: Write balanced equations for each of the following by inserting the correct coefficients in the blanks:
a. ____ Al (s) + ____ Cl2 (g) ____ AlCl3 (s)
b. ____ Ba3(PO4)2 (s) + ____ KOH (aq) ____ K3PO4 (aq) + ____ Ba(OH)2 (aq)
c. ____ C4H10 (aq) + ____ O2 (g) ____ CO2 (g) + ____ H2O (l)
CHEMISTRY - OPENSTAX 2015E
CH.4 - STOICHIOMETRY OF CHEMICAL REACTIONS
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CONCEPT: STOICHIOMETRIC REACTIONS
2 H2 (g) + 1 O2 (g) 2 H2O (g)
In the above equation the numbers that are in bold are called _______________________.
• They tell us the number of ______________ of each compound that reacts.
• This numerical relationship between compounds in a balanced equation is called __________________________.
STOICHIOMETRIC CHART
Before we get into solving stoichiometric reactions lets work out a plan of attack.
Entities means ______________________ , ______________________ or ______________________.
Entities of Given
Grams of Given
Entities of Unknown
Grams of Unknown
Moles of Given Moles of Unknown
Use this chart when given a chemical equation with the ____________ quantity of a compound or element and asked to find
the ____________ quantity of another compound or element.
EXAMPLE: How many grams of H2O are produced when 12.3 g H2 reacts?
2 H2 (g) + 1 O2 (g) 2 H2O (g)
CHEMISTRY - OPENSTAX 2015E
CH.4 - STOICHIOMETRY OF CHEMICAL REACTIONS
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PRACTICE: STOICHIOMETRIC REACTIONS
EXAMPLE 1: The oxidation of chromium solid is represented by the following equation:
4 Cr (s) + 3 O2 (g) 2 Cr2O3 (s)
a. How many moles of chromium (III) oxide are produced when 34.69 g Cr reacts with excess oxygen gas?
b. How many grams of O2 were needed to produce 4.28 x 103 molecules Cr2O3?
EXAMPLE 2: If the density of ethanol, CH3CH2OH, is 0.789 g/mL, how many milliliters of ethanol are needed to produce 4.8
g of H2O in the following reaction?
CH3CH2OH (l) + 3 O2 2 CO2 (g) + 3 H2O (l)
PRACTICE: Dinitrogen monoxide gas decomposes to form nitrogen gas and oxygen gas. How many molecules of oxygen
are formed when 8.00 g of dinitrogen monoxide decomposes?
CHEMISTRY - OPENSTAX 2015E
CH.4 - STOICHIOMETRY OF CHEMICAL REACTIONS
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CONCEPT: LIMITING REAGENT
In a chemical reaction the reactant that is consumed when a reaction occurs and determines the maximum amount of
product formed is called the _________________________________.
• The amount of product it forms is called the _________________________ yield.
The reactant that remains after the completion of the chemical reaction is called the ____________________ reactant.
EXAMPLE: Chromium (III) oxide reacts with hydrogen sulfide (H2S) gas to form chromium (III) sulfide and water:
Cr2O3 (s) + 3 H2S (g) Cr2S3 (s) + 3 H2O (l) [Balanced]
a. What is the mass of chromium (III) sulfide formed when 14.20 g Cr2O3 reacts with 12.80 g H2S?
b. Identify the limiting reactant, excess reactant and theoretical yield.
c. What mass of excess reactant remains?
CHEMISTRY - OPENSTAX 2015E
CH.4 - STOICHIOMETRY OF CHEMICAL REACTIONS
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CONCEPT: PERCENT YIELD
The percent yield of a reaction is used to determine how effective the chemist was in creating their desired products.
• A high percent yield would signify that the reaction is _______________________________________.
EXAMPLE 1: A scientist performs an experiment in the laboratory and obtains 13.27 g Cr2S3. If his calculations on scratch
paper give him a theoretical yield of 18.23 g what is the percent yield?
PRACTICE: Consider the following balanced chemical reaction:
2 C6H6 (l) + 15 O2 (g) 12 CO2 (g) + 6 H2O (l)
a. If a 2.6 g sample of C6H6 reacted with excess O2 to produce 1.25 g of water, what is the percent yield of water?
b. If the above reaction only went to 75% completion, how many moles of CO2 would be produced if 1.57 x 10-5 molecules of C6H6 were reacted with excess oxygen?
CHEMISTRY - OPENSTAX 2015E
CH.4 - STOICHIOMETRY OF CHEMICAL REACTIONS
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CONCEPT: MOLARITY
Molarity (M) can serve as the connection between the interconversion of ____________ to ____________ and vice versa.
For example, a 5.8 M NaCl solution really means __________________________ per __________________________.
Molarity =MolesSolute)(LitersSolution)(
A typical mixture consists of a smaller amount of one substance, the ________________, dissolved in a larger amount of
another substance, the __________________. Together they form a __________________.
CHEMISTRY - OPENSTAX 2015E
CH.4 - STOICHIOMETRY OF CHEMICAL REACTIONS
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PRACTICE: MOLARITY
EXAMPLE 1: 2.64 grams of an unknown compound was dissolved in water to yield
150 mL of solution. The concentration of the solution was 0.075 M. What was the
molecular weight of the substance?
EXAMPLE 2: A solution is prepared by dissolving 0.1408 mol calcium nitrate, Ca(NO3)2, in enough water to make 100.0 mL
of stock solution. If 20.0 mL of this solution is then mix with an additional 90 mL of deionized water, calculate the
concentration of the calcium nitrate solution.
PRACTICE 1: What is the molarity of calcium ions of a 650 mL solution containing 42.7 g of calcium phosphate?
PRACTICE 2: A solution with a final volume of 750.0 mL was prepared by dissolving 30.00 mL of benzene (C6H6, density =
0.8787 gmL
) in dichloromethane. Calculate the molarity of benzene in the solution.
M =MolesSolute)(LitersSolution)(
CHEMISTRY - OPENSTAX 2015E
CH.4 - STOICHIOMETRY OF CHEMICAL REACTIONS
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CONCEPT: MOLARITY & CHEMICAL REACTIONS
Whenever we are provided given information in a reaction we use ___________________ to find any unknown information.
• In aqueous reactions, this given information is typically in units of __________________ or __________________ .
Entities means ______________________ , ______________________ or ______________________.
Volume of Given Moles of Given Moles of Unknown Volume of Unknown
Entities of Unknown
Grams of Unknown
Use this chart when given a chemical equation with the known quantity in either ________ or ________ of a compound or
element and asked to find the unknown quantity of another compound or element.
EXAMPLE: How many grams of sodium metal are needed to react with 38.74 mL of 0.275 M NaOH?
2 Na (s) + 2 H2O (l) H2 (g) + 2 NaOH (aq)
CHEMISTRY - OPENSTAX 2015E
CH.4 - STOICHIOMETRY OF CHEMICAL REACTIONS
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PRACTICE: MOLARITY & CHEMICAL REACTIONS
PRACTICE 1: How many milliliters of 0.325 M HCl are needed to react with 16.2 g
of magnesium metal?
2 HCl (aq) + Mg (s) MgCl2 + H2 (g)
PRACTICE 2: What is the molarity of a hydrobromic acid solution if it takes 34.12 mL of HBr to completely neutralize 82.56
mL of 0.156 M Ca(OH)2?
2 HBr (aq) + Ca(OH)2 (aq) CaBr2 (aq) + 2 H2O (l)
PRACTICE 3 (CHALLENGE): Iron (III) can be oxidized by an acidic K2Cr2O7 solution according to the net ionic equation:
Cr2O72- + 6 Fe2+ + 14 H+ 2 Cr3+ + 6 Fe3+ + 7 H2O
If it takes 30.0 mL of 0.100 M K2Cr2O7 to titrate a 25 mL Fe2+ solution, what is the molar concentration of Fe2+?
M =MolesSolute)(LitersSolution)(
CHEMISTRY - OPENSTAX 2015E
CH.4 - STOICHIOMETRY OF CHEMICAL REACTIONS
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CONCEPT: NORMALITY
Another measurement for concentration usually encountered is normality (N), which represents the number of equivalents per liter of solution.
N =equivalents of soluteLiters of solution
equivalent (eq) = n ×moles
• An equivalent is the mass of a compound that can either donate or accept an __________ or __________.
An equivalent (eq) and n are both determined by the compound being used (acid or base) and if the compound is undergoing a redox reaction.
Acids
For an acid the number for n is based on the number of _________________________ present.
EXAMPLE 1: Determine the number of equivalents for each of the acids given.
a) 2.5 moles CH3COOH b) 133.4 g H3PO4
Bases
For a base the number for n is based on the number of _________________________ present.
EXAMPLE 2: Determine the number of equivalents for the following base.
a) 50.0 mL of 0.165 M Ca(OH)2
Redox Reactions
For a redox reaction the number for n is based on the number of ________________________ transferred.
EXAMPLE 3: Based on the given redox reaction determine the value for n.
MnO4– (aq) + H+ (aq) Mn2+ (aq) + H2O (l)
CHEMISTRY - OPENSTAX 2015E
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PRACTICE: NORMALITY EXAMPLE 1: What is the normality of a solution made by dissolving 325.1 g HNO3 in enough water to create a 750.0 mL solution?
EXAMPLE 2: Determine the equivalent weight of the following compounds.
a) Al(OH)3 b) H2CO3
EXAMPLE 3: What volume, in mL, of 50.0 g H2SO4 is needed to create a 0.300 N H2SO4 solution?
EXAMPLE 4: If a concentrated 3.25 M H3PO4 solution possesses a density of 1.350 g/mL, what is its normality?
CHEMISTRY - OPENSTAX 2015E
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CONCEPT: AQUEOUS SOLUTIONS
The ___________________________ of a compound represents the maximum amount of solute that dissolves in a solvent.
SOLUBILITY RULES
SOLUBLE IONIC COMPOUNDS
INSOLUBLE IONIC COMPOUNDS
1. Group 1A ions (Li+, Na+, K+, etc.) and ammonium ion (NH4+) are soluble.
1. (Hydroxides) OH- and (Sulfides) S2-, are insoluble
except when with Group 1A ions (Li+, Na+, K+, etc.),
ammonium ion (NH4+) and Ca2+, Sr2+, Ba2+.
2. (Nitrates) NO3- , (acetates) CH3COO- or C2H3O2-,
and most perchlorates (ClO4-) are soluble.
2. (Carbonates) CO32- and (Phosphates) PO43- are
insoluble except when with Group 1A ions
(Li+, Na+, K+, etc.), ammonium ion (NH4+).
3. Cl- , Br- , and I- are soluble, except when paired
with Ag+ , Pb2+ , Cu+ and Hg22+.
4. (Sulfates) SO42- are soluble, except those of Ca2+ ,
Sr2+ , Ba2+ , Ag+ , and Pb2+ .
When we classify a compound as soluble it means that the compound is _______________________, it is also known as
a(n) _______________________ because it conducts electricity.
NaNO3 (s) H2O
Na+ (aq) + NO3– (aq)
When we classify a compound as insoluble it means that the compound is a _______________________, it is also known
as a(n) _______________________ because it doesn’t conduct electricity.
CH3OH (l) H2O
CH3OH (aq)
BaSO4 (s) H2O
BaSO4 (aq)
CHEMISTRY - OPENSTAX 2015E
CH.4 - STOICHIOMETRY OF CHEMICAL REACTIONS
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CONCEPT: WRITING CHEMICAL REACTIONS
EXAMPLE: Predict whether a reaction occurs, and write the balanced molecular equation.
a. LiOH (aq) + MgSO4 (aq)
EXAMPLE: Predict whether a reaction occurs, and write the balanced molecular equation, the total and net ionic equations.
Molecular: Na2CO3 (aq) + HBr (aq)
Total Ionic:
Net Ionic:
CHEMISTRY - OPENSTAX 2015E
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PRACTICE: Predict whether a reaction occurs, and write the balanced total and net ionic equations.
Total Ionic:
Net Ionic:
Molecular: Ag2SO4 (aq) + KCl (aq)
PRACTICE: Predict whether a reaction occurs, and write the balanced total and net ionic equations.
Total Ionic:
Net Ionic:
Molecular: MgBr2 (aq) + NaC2H3O2 (aq)
CHEMISTRY - OPENSTAX 2015E
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CONCEPT: ELECTROLYTES
Whenever we add a solute into a solvent three outcomes are possible:
• the solute will _________________ dissolve ( STRONG electrolytes).
• the solute will _________________ dissolve ( WEAK electrolytes).
• the solute will _________________ dissolve ( NON electrolytes).
Classification of Solutes in Aqueous Solution
STRONG ELECTROLYTES
WEAK ELECTROLYTES
NONELECTROLYTES
1. STRONG ACIDS: HCl, ______ , HI ,
HNO3 , _______ , _______ , _______ .
2. STRONG BASES:
Group 1A Metal with OH-, H-, O2- or
NH2-
Groups 2A Metal, Calcium or Lower, with
OH-, H-, O2- or NH2-
3) SOLUBLE IONIC COMPOUNDS:
1. WEAK ACIDS: HF, ____________ ,
________ , ________ , ________ .
2. WEAK BASES: Be(OH)2 , Mg(OH)2 ,
_________ , _________ .
1. MOLECULAR
COMPOUNDS:
______________
C6H12O6 (glucose)
C12H22O11 (sucrose)
______________
CHEMISTRY - OPENSTAX 2015E
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PRACTICE: ELECTROLYTES
EXAMPLE: Each of the following reactions depicts a solute dissolving in water. Classify each solute as a strong electrolyte,
a weak electrolyte or a non-electrolyte.
a. PbSO4 (s) PbSO4 (aq)
b. HC2H3O2 (aq) H+ (aq) + C2H3O2– (aq)
c. CaS (s) Ca2+ (aq) + S2- (aq)
d. Hg (l) Hg (aq)
PRACTICE: Classify each of the following solutes as either a strong electrolyte, a weak electrolyte or a non-electrolyte.
a. Perbromic acid, HBrO4
b. Lithium chloride, LiCl
c. Formic Acid, HCO2H
d. Methylamine, CH3NH2
e. Zinc bromide, ZnBr2
f. Propanol, C3H8OH
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CONCEPT: OXIDATION-REDUCTION REACTIONS
Chemists use some important terminology to describe the movement of electrons.
• In ______________ reactions we have the movement of electrons from one reactant to another.
L
E
O
G
E
R
Agent Agent
Rules for Assigning an Oxidation Number (O.N.)
A. General Rules
1. For an atom in its elemental form (Na, O2, S8, etc.): O.N. = 0
2. For an ion the O.N. equals the charge: Na+ , Ca2+ , NO3 –
B. Specific Rules
1. Group 1A: O.N. = +1
2. Group 2A: O.N. = +2
3. For hydrogen: O.N. = +1 with nonmetals
O.N. = -1 with metals and boron
4. For Fluorine: O.N. = -1
5. For oxygen: O.N. = -1 in peroxides (X2O2 , X = Group 1(A) element)
O.N. = − 12
in superoxides (XO2 , X = Group 1(A) element)
O.N. = - 2 in all other compounds
6. Group 7A O.N. = -1 (except when connected to O)
CHEMISTRY - OPENSTAX 2015E
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CONCEPT: OXIDATION-REDUCTION REACTIONS (PRACTICE)
EXAMPLE: In the following reaction identify the oxidizing agent and the reducing agent:
a. 2 C6H6 (l) + 15 O2 (g) 12 CO2 (g) + 6 H2O (g)
PRACTICE: What is the oxidation number of each underlined element?
a. P4 b. BO33-
c. AsO42- d. HSO4
–
PRACTICE: In the following reaction identify the oxidizing agent and the reducing agent:
a. Cr2O72- + 6 Fe2+ + 14 H+ 2 Cr3+ + 6 Fe3+ + 7 H2O
CHEMISTRY - OPENSTAX 2015E
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CONCEPT: BASIC REDOX CONCEPTS OXIDATION-REDUCTION (REDOX) reactions deal with the transfer of electrons from one reactant to another.
Lose
Electrons
Oxidation
Gain
Electrons
Reduction
Reducing Agent (Reductant)
} }} Element
becomes
more positive
Oxidation
Number
Increases } Element
becomes
more negative
Oxidation
Number
Decreases
Oxidizing Agent (Oxidant)
Li (s) Li+ (aq) + e – Cl2 (g) + 2 e – 2 Cl – (aq)
Li (s) + Cl2 (g) Li+ (aq) + 2 Cl – aq)
Electrical Charge
The units for electrical charge are measured in ________________ (C).
} Charge of 1 electron Faraday Constant
}(1.602×10−19C) ⋅ (6.022×1023mol−1) = 9.647×104C
1mole e−charge mole
e –
q = n ⋅ F Faraday Constant
Electrical Current
The units for electrical current are in __________ (A).
Electrical Voltage
The relationship between work and voltage can be expressed as:
The relationship between Gibbs Free Energy and electric potential can be expressed as:
Ohm's Law
The units for resistance are in __________ (Ω).
Power
Power represents work done per unit of time. The units for power are in __________ (W).
w = E ⋅ qWork Voltage Charge
ΔG = − n ⋅ F ⋅ E GibbsFree Energy
mole e –
Faraday Constant
Voltage
I = ER
Voltage
ResistanceCurrent
P = E ⋅ IPower Voltage Current
Current
Charge
TimeI = q
t
CHEMISTRY - OPENSTAX 2015E
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CONCEPT: SINGLE REPLACEMENT REACTIONS In a single replacement or displacement reaction one element displaces another element from a compound. More reactive or active metals displace less reactive metals or hydrogen from compounds.
Act
ivit
y In
crea
ses
Metals
Lithium (Li) > Potassium (K) > Barium (Ba) > Strontium (Sr) > Calcium (Ca) > Sodium (Na)
Activity
Metals in this category can displace hydrogen from liquid water, steam and acids:
Metals
Magnesium (Mg) > Aluminum (Al) > Zinc (Zn2+) > Chromium (Cr2+, Cr3+) > Iron (Fe2+, Fe3+)
Activity
Metals in this category can displace hydrogen from steam and acids:
Metals
Cadmium (Cd2+) > Cobalt (Co2+, Co3+) > Nickel (Ni2+) > Tin (Sn2+, Sn4+) > Lead (Pb2+, Pb4+)
Activity
Metals in this category can displace hydrogen from acids:
Hydrogen and Metals
Hydrogen (H) > Antimony (Sb3+) > Arsenic (As3+, As5+) > Bismuth (Bi3+) > Copper (Cu+, Cu2+) > Mercury (Hg22+, Hg2+) > Silver (Ag+) > Palladium (Pd3+) > Platinum (Pt2+, Pt3+) > Gold (Au+, Au3+)
CHEMISTRY - OPENSTAX 2015E
CH.4 - STOICHIOMETRY OF CHEMICAL REACTIONS
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PRACTICE: SINGLE REPLACEMENT REACTIONS EXAMPLE 1: Based on your understanding of activities determine if a reaction occurs and if so provide the products formed.
Ba (s) + H2O (g)
EXAMPLE 2: Based on your understanding of activities determine if a reaction occurs and if so provide the products formed.
Zn (s) + NiCl2 (aq)
EXAMPLE 3: If the activity of halogens is stated as: Fluorine > Chlorine > Bromine > Iodine, determine if a reaction occurs and if so provide the products formed.
Cl2 (g) + AlBr3 (aq)
CHEMISTRY - OPENSTAX 2015E
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16. How many milligrams of NaCN are required to prepare 712 mL of 0.250 M NaCN?
CHEMISTRY - OPENSTAX 2015E
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17. What volume (in µL) of 0.100 M HBr contains 0.170 moles of HBr?
CHEMISTRY - OPENSTAX 2015E
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18. How many moles of Ca2+ ions are in 0.100 L of a 0.450 M solution of Ca3(PO4)2?
CHEMISTRY - OPENSTAX 2015E
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19. How many chloride ions are present in 65.5 mL of 0.210 M AlCl3 solution? a) 4.02 × 1023 chloride ions
b) 5.79 × 1024 chloride ions
c) 2.48 × 1022 chloride ions
d) 8.28 × 1021 chloride ions
e) 1.21 × 1022 chloride ions
CHEMISTRY - OPENSTAX 2015E
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22. To what final volume would 100 mL of 5.0 M KCl have to be diluted in order to make a solution that is 0.54 M KCl?
CHEMISTRY - OPENSTAX 2015E
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23. If 880 mL of water is added to 125.0 mL of a 0.770 M HBrO4 solution what is the resulting molarity?
CHEMISTRY - OPENSTAX 2015E
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26. Consider the following balanced redox equation:
H2O + 2 MnO4 – + 3 SO32- 2 MnO2 + 3 SO42- + 2 OH – How many grams of MnO2 (MW: 86.94 g/mol) are produced when 32.0 mL of 0.615 M MnO4- (MW: 118.90 g/mol) reacts with excess water and sulfite?
CHEMISTRY - OPENSTAX 2015E
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27. Iron (III) can be oxidized by an acidic K2Cr2O7 solution according to the net ionic equation:
Cr2O72- + 6 Fe2+ + 14 H+ 2 Cr3+ + 6 Fe3+ + 7 H2O
If it takes 35.0 mL of 0.250 M FeCl2 to titrate 50 mL of a solution containing Cr2O72-, what
is the molar concentration of Cr2O72-?
CHEMISTRY - OPENSTAX 2015E
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28. Vinegar is a solution of acetic acid, CH3COOH, dissolved in water. A 5.54 g sample of
vinegar was neutralized by 30.10 mL of 0.100 M NaOH. What is the percent by weight of
acetic acid in the vinegar?
CHEMISTRY - OPENSTAX 2015E
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29. What is the molar mass of a 0.350 g sample of a monoprotic acid if it requires 50.0 mL of 0.440 M Ca(OH)2 to completely neutralize it?
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30. Give the complete ionic equation for the reaction (if any) that occurs when aqueous solutions of sodium sulfide and copper (II) nitrate are mixed. a) Na+ (aq) + SO42-(aq) + Cu+(aq) + NO3-(aq) CuS(s) + Na+(aq) + NO3-(aq)
b) Na+ (aq) + S-(aq) + Cu+(aq) + NO3-(aq) CuS(s) + NaNO3(aq)
c) 2 Na+(aq) + S2-(aq) + Cu2+(aq) + 2 NO3-(aq) Cu2+(aq) + S2-(aq) + 2 NaNO3(s)
d) 2 Na+(aq) + S2-(aq) + Cu2+(aq) + 2 NO3-(aq) CuS(s) + 2 Na+(aq) + 2 NO3-(aq)
e) No reaction occurs.
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31. Give the net ionic equation for the reaction (if any) that occurs when aqueous solutions of H2SO4 and KOH are mixed. a) H+(aq) + OH-(aq) H2O(l)
b) 2 K+(aq) + SO42-(aq) K2SO4(s)
c) H+(aq) + OH-(aq) + 2 K+(aq) + SO42-(aq) H2O(l) + K2SO4(s)
d) H22+(aq) + OH-(aq) H2(OH)2(l)
e) No reaction occurs.
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32. Give the net ionic equation for the reaction (if any) that occurs when aqueous solutions of Na2CO3 and HCl are mixed. a) 2 H+(aq) + CO32-(aq) H2CO3(s)
b) 2 Na+(aq) + CO32-(aq) + 2 H+(aq) + 2 Cl-(aq) H2CO3(s) + 2 NaCl(aq)
c) 2 H+(aq) + CO32-(aq) H2O(l) + CO2(g)
d) 2 Na+(aq) + CO32-(aq) + 2 H+(aq) + 2 Cl-(aq) H2CO3(s) + 2 Na+(aq) + 2 Cl-(aq)
e) No reaction occurs.
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