Chapter 4 - Chemical Reactions

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A 0.784 g sample of Mg is added to a 250 mL flask & dissolved in 150 mL water. Magnesium Hydroxide obtained from the reaction required 215.0 mL of 0.300 M Hydrochloric acid to completely react. How many moles of Mg were used?

  • find moles HCl

    • M = n/V = moles/Volume

    • 0.300 M HCl = moles HCl/215.0 mL HCl

    • mol HCl = 0.0645

  • chemical equation for reaction

    • Mg + 2HCl → MgCl2 + H2

    • mol HCl = 0.645 mol HCl * 1 mol Mg/2 mol HCl = 0.0323 mol Mg

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A sample of an oxide of an unknown metal R contains 46.0 g R & 16.0 g O. If the formula of the metal oxide is R2O, what is the Molar Mass of R?

Molar Mass = mass/moles

Molar Mass R = 2*Atomic mass R + Atomic mass O

Molar Mass R = 2*Atomic mass R + 16.0 g/mol

total mass R2O = 46.0 + 16 = 62.0 g/mol

atomic mass R = total - O

Molar Mass R = 2(62.0 g/mol - 16.0 g/mol) + 16.0 g/mol = 23.0 g/mol

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solubility

how much of a molecule (especially ionic molecules) will dissolve in water varies greatly

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molarity

how much “stuff” is dissolved in water; M = moles/L

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19.4 g Potassium Chromate dissolved in 1 L, find the molarity & [K+]

  • 19.4 g K2CrO4 × 1 mol/194.20 g K2CrO4 = 0.100 moles

  • M = 0.100 mol/1 L = 0.1 M

  • 0.100 mol K2CrO4 × 2 mol K+ / 1 mol K2CrO4 = 0.200 mol K+

  • M = 0.200 mol K+/1 L = 0.2M

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How much 0.100 M CaCl2 solution and water must be mixed together to make 2.00 L of 0.0250 M Cl- solution?

goal: 2.00 L * 0.0250 mol/L = 0.05 mol Cl-

start: 0.100 mol/L CaCl2 × 2 Cl-/1CaCl2 = 0.200 mol/L Cl-

divide moles in target by moles in the start: 0.05 mol Cl-/(0.200 mol/L Cl-) = 0.25 L of original CCl2 solution + 1.75L H2O to make full 2.00L

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0.265 L of 0.1253 M FeCl3. How many mol FeCl3?

0.1253 M = x/0.265 L = 0.0332 mol

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How many L do you need to get 1.000 mol FeCl3? M = 0.1253

0.1253 M = 1.000 mol / V

V = 7.981 L

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If you need 0.001 mol Ca and you have a 1.023 M Calcium Phosphate solution, what is the minimum volume of Calcium Phosphate solution you must use?

1.023 M Ca3(PO4)2 × 3 Ca^2+/Ca3(PO4)2 = 3.069 M Ca^2+

3.069 mol/L = 0.001 mol Ca^2+/V

V = 3×10^-4 L

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You have a 0.13 M sample of Cl-. How much of this stock solution do you need to make 2.5 L of a 0.05 M solution of Cl-?

M1V1 = M2V2

0.13 M * V1 = 0.05 M * 2.5 L

0.13 M * V1 = 0.125 mol Cl-

V1 = 0.962 L

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When does M1V1 = M2V2 work without needing other steps?

When the starting and ending solutions are the same

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You have a 0.13 M sample of MgCl2. How much of this stock solution do you need to make 2.5 L of a 0.05 M solution of Cl-?

  • 0.13 M MgCl2 × 2 Cl-/1 MgCl2 = 0.26 M Cl-

  • M1V1 = M2V2

  • 0.26 M Cl- * V1 = 0.05 M Cl- * 2.5 L

    • V1 = 0.48 L

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3 types of chemical reactions

precipitation, acid-base, and oxidation reduction

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precipitation reaction

  • solid formed from a clear solution

  • double-displacement reactions: compounds split into ions and switch pairs

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acid-base reaction

acid and base are mixed to make water

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oxidation reduction reactions (redox reactions)

  • electrons move

  • battery/electronic/energy

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most nitrate (NO3-) salts are…

soluble

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most salts containing the alkali metal ions (Li+, Na+, K+, Cs+, Rb+) and the ammonium ion (NH4+) are…

soluble

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most chloride, bromide, & iodide salts and halogens are…

exceptions: …

soluble

exceptions: Ag+, Pb^2+, & Hg2^2+

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most sulfates are…

exceptions: …

soluble

exceptions: BaSO4, PbSO4, Hg2SO4, & CaSO4

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most hydroxides…

exceptions: …

form a solid

exceptions: NaOH, KOH, first row

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sulfide, carbonate, chromate, and phosphate salts…

form a solid

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metals…

like to be solid

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How much 0.100 M CaCl2 solution and water must be mixed together to make 2.00 L of 0.0250 M Cl- solution?

0.100 M CaCl2 × 2 mol Cl-/1 mol CaCl2

0.200 M Cl- * V1 = 0.0250 M * 2.00 L

V1 = 0.25 L

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0.265 L of 0.1253 M FeCl3. How many mol FeCl3?

0.1253 M = x/0.265 L = 0.0332 mol

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How many L do you need to get 1.000 mol FeCl3? M = .1253

0.1253 M = 1.000 mol / V

V = 7.981 L

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If you need 0.001 mol Ca and you have a 1.023 M Calcium Phosphate solution, what is the minimum volume of Calcium Phosphate solution you must use?

1.023 M Ca3(PO4)2 × 3 Ca^2+/Ca3(PO4)2 = 3.069 M Ca^2+

3.069 mol/L = 0.001 mol Ca^2+/V

V = 3×10^-4 L

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What is the precipitate? HgCl2 + KI

HgI2(s) + 2KCl(aq)

HgI2 is the precipitate

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When does M1V1 = M2V2 work without needing other steps?

When the starting and ending solutions are the same

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precipitate reaction example: water softener

substances dissolved in water (Ca²+) react with phosphate tank to form a solid to be flushed out

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acid base reactions (neutralization reactions)

  • H+ + OH- → H2O

  • products: water and an ionic complex (salt)

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What is the precipitate? BaCl2 + Na2SO4.

BaSO4

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What is the precipitate? CuCl2 + Na2CO3

CuCO3

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precipitation reaction

  • solid formed from a clear solution

  • double-displacement reactions: compounds split into ions and switch pairs

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Brønsted-lowry acid base

  • acid gives H+

  • base takes H+ (often OH-)

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strong acids

  • HBr, HCl, HI, HNO3, HClO4, H2SO4

  • HBr → H+ + Br-

  • split into ions completely when dissolved

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strong bases

  • Group I or Group II with OH-, NaOH or Ba(OH)2

  • split into ions completely when dissolved

  • NaOH(s) → Na+ (aq) + OH- (aq)

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weak base

everything but strong acids and group 1 & group 2 with OH-

  • Ammonia (NH3)

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complete and net ionic equation of HCl (aq) + NaOH (s)

  • strong acid - strong base

  • complete: H+ (aq) + Cl- (aq) + Na+ (aq) + OH- (aq) → H2O (l) + Cl- (aq) + Na+ (aq)

  • net: H+ (aq) + OH- (aq) → H2O (l)

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equation of HF + NaOH

  • weak acid - strong base

  • weak acid: HF (aq) <=> H+ (aq) + F-

    strong base: H+ (aq) + OH (aq) → H2O (l)

  • H+ (aq) + OH- (aq) → F- (aq) + H2O (l)

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equation of NH3 + H+

  • weak base - strong acid

  • weak base: NH3 (aq) + H2O (l) <=> NH4+ (aq) + OH- (aq)

    strong acid: H+ (aq) + OH- (aq) → H2O (l)

  • NH3 (aq) + H+ (aq) → NH4+

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difference between acid and bases

  • acid: something that starts with H

  • base: second reactant with OH-

  • products: water and an ionic complex

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oxidation number rules

  1. multi-atom molecules: overall oxidation number is the charge of the molecule

    • Fe³+ = oxidation number +3

    • ClO- = -1

  2. any element in elemental form = 0

  3. any element in a monatomic ion = charge on ion (Fe example above)

  4. Group 1 = +1, Group 2 = + 2

  5. Oxygen usually = -

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oxidation reduction reaction

  • redox reaction

  • electrons move from one species to another

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if an ion is oxidized it...

loses electrons

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if an ion is reduced it…

gains electrons

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Fe²+ (aq) → Fe³+ (aq) + e^-

Was Fe oxidized or reduced

lost an electron, oxidized

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Fe³+ (aq) + e^- → Fe²+ (aq)

Was Fe oxidized or reduced

gained an electron, reduced

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Zn (s) + 2H+ (aq) → Zn²+ (aq) + H2 (g)

What is oxidized and what is reduced? What is the oxidizing agent vs reducing agent?

Zinc: loses electrons, oxidized, reducing agent

H: gains electrons, reduced, oxidizing agent

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oxidation number rules

  1. multi-atom molecules: overall oxidation number is the charge of the molecule

    • Fe³+ = oxidation number +3

    • ClO- = -1

  2. any element in elemental form = 0

  3. any element in a monatomic ion = charge on ion (Fe example above)

  4. Group 1 = +1, Group 2 = + 2

  5. Oxygen usually = -2, Hydrogen usually = +1

  6. Oxidation numbers sum to 0 or whatever the charge of the poly atomic ion is

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Find the oxidation number for Cl: ClO4-

Oxygen = -2, Cl = ?

Cl + 4(-2) = -1

Cl = +5

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What is the oxidation number for Cl? ClO3-

Cl + 3(-2) = -1

Cl = +5

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What is the oxidation number for N? NH3

3(1) + N = 0

N = -3

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What is the oxidation number for N? NO3^-

N + 3(-2) = -1

N = +5

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Oxidation numbers in H2O

H = +1, O = -2

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NO3^- (aq) → NO (g)

Balance this redox reaction

  1. balance non-oxygen (redox) atoms

    • NO3^- (aq) → NO (g)

  2. balance oxygen (add water)

    • NO3^- (aq) → NO (g) + 2H2O

  3. balance protons (add H+ to reactants)

    • NO3^- (aq) + 4H+ → NO (g) + 2H2O

  4. add up charge numbers on left and right sides

    • left: -1 + 4(+1) = +3

    • right: 0 + 0 = 0

  5. balance charges: add electrons to appropriate side

    • NO3^- (aq) + 4H+ + 3e-→ NO (g) + 2H2O

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HCl (aq) + HNO3 (aq) → NO2 (g) + 2H2O

Balance these redox half reactions

  • HCl → Cl2

    1. 2HCl → Cl2

    2. 2HCl → Cl2

    3. 2HCl → Cl2 + 2H+

    4. 2HCl: 0, Cl2 + 2H+: 0+2 = +2

    5. 2HCl → Cl2 + 2H+ + 2e^-

  • HNO3 → NO2

    1. HNO3 → NO2

    2. HNO3 → NO2 + H2O

    3. H+ + HNO3 → NO2 + H2O

    4. H+ + HNO3: +1, NO2 + H2O: 0

    5. e- + H+ + HNO3 → NO2 + H2O

  • combine half reactions to get complete equation

    1. cancel out electrons: (e- + H+ + HNO3 → NO2 + H2O)2 to match 2e- in first eq.

    2. 2HCl + 2e- + 2H+ + 2HNO3 → Cl2 + 2H+ + 2e^- + 2NO2 + 2H2O

    3. 2HCl + 2HNO3 → Cl2 + 2NO2 + 2H2O

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oxidation numbers in SO4²-

S + 4(-2) = -2

S - 8 = 2

S = +6

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oxidation numbers CO3²-

C + 3(-2) = -2

C = +4

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oxidation numbers CH4

C + 4(+1) = 0

C = -4

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Cr2O7²- oxidation numbers

2 Cr + 7(-2) = -2

2Cr - 14 = -2

2Cr = +12

Cr = +6

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H2O2 oxidation numbers

2(+1) + 2(-2)) dne 0

oxygen changes before hydrogen

2(+1) + 2O = 0

Oxygen = -1

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equation for the combustion of methane

? CH4 + ? O2 → ? CO2 + ? H2O

1 CH4 + 2CO2 → 1CO2 + 2H2O

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Balance SO2 + O2 → SO3

2SO2 + O2 → 2SO3

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Is BaSO4 soluble or insoluble?

insoluble because although sulfates are soluble, barium sulfate is not

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is CuCl2 soluble or insoluble?

soluble because chlorides are soluble unless they are Ag, Pb(II), or Hg(I)

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is KNO3 soluble or insoluble?

soluble because K is an alkali metal and NO3 is nitrite, both soluble things

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is AgI soluble or insoluble?

insoluble because Ag is insoluble

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is NiCO3 soluble or insoluble?

insoluble because carbonates are insoluble unless they are with group I or NH4

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Is Pb(NO3)2 soluble or insoluble

soluble because it is a nitrate

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AgNO3(aq) + NaCl(aq) → ?

AgNO3(aq) + NaCl(aq) → NaNO3(aq) + AgCl(s)

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K3PO4(aq) + MgCl2(aq) → ?

K3PO4(aq) + MgCl2(aq) → Mg(PO4)2(s) + KCl(aq)

2K3PO4(aq) + 3MgCl2(aq) → Mg(PO4)2(s) + 6KCl(aq)

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H2(g) and O2(g) are combined to form H2O. What is the oxidizing agent and what is the reducing agent? What is the number of electrons transferred?

2H2(g) + O2(g) = 2H2O(l)

oxidizing agent: is reduced, gains electrons

oxidizing agent: oxygen (goes from 0 to -4)

reducing agent: is oxidized, loses electrons

reducing agent: hydrogen (goes from 0 to +4)

4 electrons were transferred

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acid, base, or salt: HI

acid

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acid, base, or salt: KNO3

salt (no OH or H)

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acid, base, or salt: NH4Cl

salt

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acid, base, or salt: BaF2

salt

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acid, base, or salt: LiOH

base

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strong/weak/non electrolyte differences

strong electrolyte: strong acids, strong bases, soluble ionic compounds; dissociates fully & conducts electricity

weak electrolyte: weak acids, weak bases, insoluble ionic compounds, partially dissociates & does not conduct electricity as well

nonelectrolyte: sugar &alcohol molecules, CHxyz, does not dissociate or conduct electicity

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strong/weak/non electrolyte: HCN, Zn(NO3)2, & HNO3

HCN: weak acid, weak electrolyte

Zn(NO3)2: soluble, strong electrolyte

HNO3: strong acid & soluble, strong electrolyte

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determine the oxidation state of Zn in ZnSO4

  • SO4: 2-

    • O = -2(4) = -8

    • -8 + S = -2

    • S = +6

  • Zn + 6 - 8

  • or Zn - 2

  • Zn = +2

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Complete the combustion of heptane: C7H16

C7H16 + O2 = CO2 + H2O

C7H16 + 11O2 → 7CO2 + H2O

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Rank these in order of best oxidizing agent to best reducing agent: Mg²+, Ni²+, Fe²+, Ag+

  • best oxidizing agent: reduced, more likely to gain electrons

  • best reducing agent: oxidized, more likely to lose electrons

  • Mg²+ = likely to gain = best reducing agent, further left

    Fe²+

    Ni²+

    Ag+ best oxidizing agent

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What is the difference between the following types of reactions?

  • combination

  • decomposition

  • combustions

  • precipitation

  • acid/base

  • redox

  • combination: two or more substances combine to form a single substance

    • A + B → AB

  • decomposition: one compound breaks down into two or more simpler substances

    • AB → A + B

  • combustions: one substance reacts with oxygen gas, releasing energy in the form of light and heat

    • when O2 (g) combusts with H2 (g), it forms water vapor H2O(g)

    • when O2 reacts with a hydrocarbon (C3H8 etc) it forms CO2 and H2O

    • marshmallow roasting on a stick

  • precipitation: cations and anions form a solid in an aqueous solution

  • acid/base:

    • there will be proton movement

    • acid + base = salt + water

    • NH3(g) + H2O(l) <=> NH4+(aq) + OH-(aq)

  • redox: electron movement

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Solubility rules

  1. Most nitrate (NO3)- salts are soluble

  2. Most salts containing the alkali metal ions (Li+, Na+, K+, Cs+, Rb+) and the ammonium ion (NH4+) are soluble

  3. Most chloride, bromide, and iodide salts are soluble; most halogens are soluble

    • exceptions: Ag+, Pb^2+, Hg2²+

  4. Most sulfates are soluble

    • exceptions: BaSO4, PbSO4, Hg2SO4, CaSO4

  1. Most hydroxides are insoluble and form a solid

    • exceptions: NaOH, KOH, first row

  2. Sulfide, carbonate, chromate, and phosphate salts are insoluble and form a solid

  3. Metals like to be solid

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Most nitrate salts are…

(NO3-) Soluble

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Most salts containing the alkali metal ions are…

(Li+, K+, Rb+, Cs+, Na+) Soluble

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The Ammonium ion is…

(NH4+) Soluble

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Most chloride, bromide, and iodide salts are…

This is because most _________ are…

Soluble

Most halogens are soluble

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Exceptions to the chloride, bromide, and iodide solubility rule

Pb²+, Ag+, Hg2²+ are insoluble

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Most sulfates are…

(SO4²-) Soluble

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Exceptions to sulfate solubility rule

BaSO4, PbSO4, Hg2SO4, CaSO4 are insoluble

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Most hydroxides are…

Insoluble

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Exceptions to the hydroxide solubility rule

NaOH, KOH, first row are soluble

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Sulfide, carbonate, chromate, and phosphate are…

Insoluble

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Metals typically like to be…

Solids, insoluble