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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
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
solubility
how much of a molecule (especially ionic molecules) will dissolve in water varies greatly
molarity
how much “stuff” is dissolved in water; M = moles/L
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
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
0.265 L of 0.1253 M FeCl3. How many mol FeCl3?
0.1253 M = x/0.265 L = 0.0332 mol
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
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
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
When does M1V1 = M2V2 work without needing other steps?
When the starting and ending solutions are the same
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
3 types of chemical reactions
precipitation, acid-base, and oxidation reduction
precipitation reaction
solid formed from a clear solution
double-displacement reactions: compounds split into ions and switch pairs
acid-base reaction
acid and base are mixed to make water
oxidation reduction reactions (redox reactions)
electrons move
battery/electronic/energy
most nitrate (NO3-) salts are…
soluble
most salts containing the alkali metal ions (Li+, Na+, K+, Cs+, Rb+) and the ammonium ion (NH4+) are…
soluble
most chloride, bromide, & iodide salts and halogens are…
exceptions: …
soluble
exceptions: Ag+, Pb^2+, & Hg2^2+
most sulfates are…
exceptions: …
soluble
exceptions: BaSO4, PbSO4, Hg2SO4, & CaSO4
most hydroxides…
exceptions: …
form a solid
exceptions: NaOH, KOH, first row
sulfide, carbonate, chromate, and phosphate salts…
form a solid
metals…
like to be solid
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
0.265 L of 0.1253 M FeCl3. How many mol FeCl3?
0.1253 M = x/0.265 L = 0.0332 mol
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
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
What is the precipitate? HgCl2 + KI
HgI2(s) + 2KCl(aq)
HgI2 is the precipitate
When does M1V1 = M2V2 work without needing other steps?
When the starting and ending solutions are the same
precipitate reaction example: water softener
substances dissolved in water (Ca²+) react with phosphate tank to form a solid to be flushed out
acid base reactions (neutralization reactions)
H+ + OH- → H2O
products: water and an ionic complex (salt)
What is the precipitate? BaCl2 + Na2SO4.
BaSO4
What is the precipitate? CuCl2 + Na2CO3
CuCO3
precipitation reaction
solid formed from a clear solution
double-displacement reactions: compounds split into ions and switch pairs
Brønsted-lowry acid base
acid gives H+
base takes H+ (often OH-)
strong acids
HBr, HCl, HI, HNO3, HClO4, H2SO4
HBr → H+ + Br-
split into ions completely when dissolved
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)
weak base
everything but strong acids and group 1 & group 2 with OH-
Ammonia (NH3)
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)
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)
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+
difference between acid and bases
acid: something that starts with H
base: second reactant with OH-
products: water and an ionic complex
oxidation number rules
multi-atom molecules: overall oxidation number is the charge of the molecule
Fe³+ = oxidation number +3
ClO- = -1
any element in elemental form = 0
any element in a monatomic ion = charge on ion (Fe example above)
Group 1 = +1, Group 2 = + 2
Oxygen usually = -
oxidation reduction reaction
redox reaction
electrons move from one species to another
if an ion is oxidized it...
loses electrons
if an ion is reduced it…
gains electrons
Fe²+ (aq) → Fe³+ (aq) + e^-
Was Fe oxidized or reduced
lost an electron, oxidized
Fe³+ (aq) + e^- → Fe²+ (aq)
Was Fe oxidized or reduced
gained an electron, reduced
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
oxidation number rules
multi-atom molecules: overall oxidation number is the charge of the molecule
Fe³+ = oxidation number +3
ClO- = -1
any element in elemental form = 0
any element in a monatomic ion = charge on ion (Fe example above)
Group 1 = +1, Group 2 = + 2
Oxygen usually = -2, Hydrogen usually = +1
Oxidation numbers sum to 0 or whatever the charge of the poly atomic ion is
Find the oxidation number for Cl: ClO4-
Oxygen = -2, Cl = ?
Cl + 4(-2) = -1
Cl = +5
What is the oxidation number for Cl? ClO3-
Cl + 3(-2) = -1
Cl = +5
What is the oxidation number for N? NH3
3(1) + N = 0
N = -3
What is the oxidation number for N? NO3^-
N + 3(-2) = -1
N = +5
Oxidation numbers in H2O
H = +1, O = -2
NO3^- (aq) → NO (g)
Balance this redox reaction
balance non-oxygen (redox) atoms
NO3^- (aq) → NO (g)
balance oxygen (add water)
NO3^- (aq) → NO (g) + 2H2O
balance protons (add H+ to reactants)
NO3^- (aq) + 4H+ → NO (g) + 2H2O
add up charge numbers on left and right sides
left: -1 + 4(+1) = +3
right: 0 + 0 = 0
balance charges: add electrons to appropriate side
NO3^- (aq) + 4H+ + 3e-→ NO (g) + 2H2O
HCl (aq) + HNO3 (aq) → NO2 (g) + 2H2O
Balance these redox half reactions
HCl → Cl2
2HCl → Cl2
2HCl → Cl2
2HCl → Cl2 + 2H+
2HCl: 0, Cl2 + 2H+: 0+2 = +2
2HCl → Cl2 + 2H+ + 2e^-
HNO3 → NO2
HNO3 → NO2
HNO3 → NO2 + H2O
H+ + HNO3 → NO2 + H2O
H+ + HNO3: +1, NO2 + H2O: 0
e- + H+ + HNO3 → NO2 + H2O
combine half reactions to get complete equation
cancel out electrons: (e- + H+ + HNO3 → NO2 + H2O)2 to match 2e- in first eq.
2HCl + 2e- + 2H+ + 2HNO3 → Cl2 + 2H+ + 2e^- + 2NO2 + 2H2O
2HCl + 2HNO3 → Cl2 + 2NO2 + 2H2O
oxidation numbers in SO4²-
S + 4(-2) = -2
S - 8 = 2
S = +6
oxidation numbers CO3²-
C + 3(-2) = -2
C = +4
oxidation numbers CH4
C + 4(+1) = 0
C = -4
Cr2O7²- oxidation numbers
2 Cr + 7(-2) = -2
2Cr - 14 = -2
2Cr = +12
Cr = +6
H2O2 oxidation numbers
2(+1) + 2(-2)) dne 0
oxygen changes before hydrogen
2(+1) + 2O = 0
Oxygen = -1
equation for the combustion of methane
? CH4 + ? O2 → ? CO2 + ? H2O
1 CH4 + 2CO2 → 1CO2 + 2H2O
Balance SO2 + O2 → SO3
2SO2 + O2 → 2SO3
Is BaSO4 soluble or insoluble?
insoluble because although sulfates are soluble, barium sulfate is not
is CuCl2 soluble or insoluble?
soluble because chlorides are soluble unless they are Ag, Pb(II), or Hg(I)
is KNO3 soluble or insoluble?
soluble because K is an alkali metal and NO3 is nitrite, both soluble things
is AgI soluble or insoluble?
insoluble because Ag is insoluble
is NiCO3 soluble or insoluble?
insoluble because carbonates are insoluble unless they are with group I or NH4
Is Pb(NO3)2 soluble or insoluble
soluble because it is a nitrate
AgNO3(aq) + NaCl(aq) → ?
AgNO3(aq) + NaCl(aq) → NaNO3(aq) + AgCl(s)
K3PO4(aq) + MgCl2(aq) → ?
K3PO4(aq) + MgCl2(aq) → Mg(PO4)2(s) + KCl(aq)
2K3PO4(aq) + 3MgCl2(aq) → Mg(PO4)2(s) + 6KCl(aq)
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
acid, base, or salt: HI
acid
acid, base, or salt: KNO3
salt (no OH or H)
acid, base, or salt: NH4Cl
salt
acid, base, or salt: BaF2
salt
acid, base, or salt: LiOH
base
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
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
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
Complete the combustion of heptane: C7H16
C7H16 + O2 = CO2 + H2O
C7H16 + 11O2 → 7CO2 + H2O
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
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
Solubility rules
Most nitrate (NO3)- salts are soluble
Most salts containing the alkali metal ions (Li+, Na+, K+, Cs+, Rb+) and the ammonium ion (NH4+) are soluble
Most chloride, bromide, and iodide salts are soluble; most halogens are soluble
exceptions: Ag+, Pb^2+, Hg2²+
Most sulfates are soluble
exceptions: BaSO4, PbSO4, Hg2SO4, CaSO4
Most hydroxides are insoluble and form a solid
exceptions: NaOH, KOH, first row
Sulfide, carbonate, chromate, and phosphate salts are insoluble and form a solid
Metals like to be solid
Most nitrate salts are…
(NO3-) Soluble
Most salts containing the alkali metal ions are…
(Li+, K+, Rb+, Cs+, Na+) Soluble
The Ammonium ion is…
(NH4+) Soluble
Most chloride, bromide, and iodide salts are…
This is because most _________ are…
Soluble
Most halogens are soluble
Exceptions to the chloride, bromide, and iodide solubility rule
Pb²+, Ag+, Hg2²+ are insoluble
Most sulfates are…
(SO4²-) Soluble
Exceptions to sulfate solubility rule
BaSO4, PbSO4, Hg2SO4, CaSO4 are insoluble
Most hydroxides are…
Insoluble
Exceptions to the hydroxide solubility rule
NaOH, KOH, first row are soluble
Sulfide, carbonate, chromate, and phosphate are…
Insoluble
Metals typically like to be…
Solids, insoluble