CHM110 - Lecture Deck 2 - Solutions - Annotated

Created by Rosnne Lee

p.2

In which phases can chemical reactions be performed?

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p.2

Solid, liquid (solution), or gas phase.

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1 / 184
p.2
Importance of Solutions in Chemical Reactions

In which phases can chemical reactions be performed?

Solid, liquid (solution), or gas phase.

p.14
Calculating Molarity and Molality

What is the mass of H₂SO₄ used in the density calculation?

10.66 g.

p.24
Titration Techniques

What defines the equivalence point in redox titrations?

The point at which the number of moles of electrons lost by the reductant equals the number of moles of electrons gained by the oxidant.

p.15
Calculating Molarity and Molality

What is the mass of H₂O used in the problem?

95.94 g.

p.28
Calculating Molarity and Molality

What do you need to find for the solution of H₂SO₄ with 98.0% T_w_w and ρ = 1.842 g/mL?

Molarity, molality, and mole fraction of acid.

p.9
Physical Properties of Solutions

What is the density of the vodka solution?

0.970 g/mL.

p.15
Concentration Measurements

What is the volume of the solution given in the problem?

100.0 mL.

p.18
Health Risks of Methanol in Solutions

What is the density of ethanol (C2H6O)?

0.789 g/mL.

p.3
Physical Properties of Solutions

How is density (ρ) defined in the context of solutions?

Grams of solution per mL of the same solution.

p.25
Concentration Measurements

What is the molarity of Ba(OH)₂ in the problem?

0.1292 M.

p.14
Calculating Molarity and Molality

What is the total volume of the solution in the density calculation?

100 mL.

p.6
Concentration Measurements

What is the concentration of commercial concentrated hydrochloric acid?

37.0% w/w.

p.27
Titration Techniques

What is the molarity of HCl used in the neutralization?

0.1016 M.

p.14
Calculating Molarity and Molality

What is the calculated density (ρ) of the solution?

1.066 g/mL.

p.10
Molality vs. Molality

What is the formula for calculating molality (m)?

m = n_E / (n_E + n_W)

p.28
Calculating Molarity and Molality

What is given for the solution of H₃PO₄ with ρ = 1.412 g/mL and χ_acid = 0.510?

You need to find molarity, molality, and % w/w.

p.9
Calculating Molarity and Molality

What is the formula to calculate molality?

Molality (m) = moles of solute / mass of solvent (in kg).

p.13
Calculating Molarity and Molality

What does ρ represent in solution chemistry?

Density of the solution.

p.13
Calculating Molarity and Molality

What does m represent in solution chemistry?

Molality of the solution.

p.12
Molarity vs. Molality

What is the molarity (M) of the solution?

6.54 M.

p.3
Physical Properties of Solutions

What does the density of a solution depend on?

The identity of the solute.

p.26
Titration Techniques

What is the molarity of Ba(OH)₂ used in the neutralization?

0.1292 M.

p.25
Concentration Measurements

What is the molarity of HCl in the problem?

0.1016 M.

p.8
Calculating Molarity and Molality

How much HCl is present in 100 g of the solution?

37.0 g of HCl.

p.2
Importance of Solutions in Chemical Reactions

Why can equipment for gas and solid-phase reactions be problematic?

They can be large, expensive, and sometimes dangerous.

p.13
Calculating Molarity and Molality

What is the mass of pure H2SO4 used in the solution?

10.66 g.

p.8
Calculating Molarity and Molality

What is the density of the solution given?

1.20 g/mL.

p.28
Calculating Molarity and Molality

What do you need to calculate for the solution of C₂H₄(OH)₂ with 4.028 m and ρ = 1.024 g/mL?

Molarity, % w/w, and mole fraction of ethylene glycol.

p.9
Molarity vs. Molality

What is the relationship between molarity and molality?

Molarity is based on the volume of the solution, while molality is based on the mass of the solvent.

p.29
Concentration Measurements

What is the molarity in problem 1?

18.4 M

p.29
Concentration Measurements

What is the molality in problem 1?

500 m

p.17
Calculating Molarity and Molality

What is the molar mass of water (H₂O)?

18.02 g/mol

p.11
Calculating Molarity and Molality

How many moles of water are there in 1 kg of water?

55.5 mol H2O.

p.20
Molarity vs. Molality

What is the molar mass (MW) of the solvent (H2O)?

18.0 g/mol.

p.29
Concentration Measurements

What is the % w/w in problem 2?

35.0%

p.11
Molality vs. Molality

What does the variable n_E represent in the molality formula?

The number of moles of the solute.

p.20
Molality vs. Molality

What is the calculated molality (m) of the solution?

2.07 mol/kg.

p.29
Concentration Measurements

What is the molarity in problem 4?

3.299 M

p.29
Concentration Measurements

What is the mole fraction in problem 4?

0.06756

p.16
Calculating Molarity and Molality

What is the molarity (M) of the solution calculated in Problem #3?

1.087 M

p.8
Calculating Molarity and Molality

What is the mass percentage of HCl in the solution?

37.0% w/w.

p.2
Importance of Solutions in Chemical Reactions

What is a common equipment used for solid-phase reactions?

Ball mill.

p.25
Titration Techniques

Why is M_A V_A ≠ M_B V_B in this context?

Because at the neutralization point, moles of H⁺ must equal moles of OH⁻.

p.5
Dilution Calculations

What is the dilution equation used for calculating molarity?

M1 × V1 = M2 × V2

p.27
Titration Techniques

What formula relates the normality and volume of HCl and Ba(OH)₂?

N_HCl × V_HCl = N_Ba(OH)₂ × V_Ba(OH)₂.

p.13
Calculating Molarity and Molality

What is the total volume of the solution prepared?

100.0 mL.

p.26
Dilution Calculations

What volume of 0.1292 M Ba(OH)₂ is required to provide 0.00254 moles?

19.65 mL.

p.6
Calculating Molarity and Molality

What is the formula to calculate molality?

Molality (m) = moles of solute / kg of solvent.

p.22
Molarity vs. Molality

Can molarity (M) and molality (m) ever be equal?

Yes, they can be equal when the density of the solution is 1 g/mL.

p.22
Concentration Measurements

What is the molarity of HCl in the provided data?

11.51 M.

p.20
Molality vs. Molality

What is the formula to find molality (m)?

m = n (moles of solute) / kg of solvent.

p.29
Concentration Measurements

What is the mole fraction in problem 2?

0.0241

p.17
Calculating Molarity and Molality

What is the molar mass of sulfuric acid (H₂SO₄)?

98.08 g/mol

p.4
Concentration Measurements

What does % w/w represent in concentration measurements?

Grams of solute per 100 grams of solution.

p.19
Calculating Molarity and Molality

What is the molar mass (MW) of the solute in the problem?

46.1 g/mol.

p.21
Molarity vs. Molality

What is the molar mass (MW) of the solvent in this problem?

18.0 g/mol.

p.19
Calculating Molarity and Molality

What is the volume of the solute (VM) used in the calculation?

5.00 mL.

p.1
Importance of Solutions in Chemical Reactions

What is a solution in chemistry?

A homogeneous mixture of two or more substances.

p.1
Importance of Solutions in Chemical Reactions

What are the components of a solution?

Solvent and solute.

p.1
Importance of Solutions in Chemical Reactions

What role does the solvent play in a solution?

It is the substance that dissolves the solute.

p.1
Importance of Solutions in Chemical Reactions

What is the difference between a solute and a solvent?

The solute is the substance being dissolved, while the solvent is the substance doing the dissolving.

p.1
Importance of Solutions in Chemical Reactions

Why are solutions important in chemical reactions?

They allow for the interaction of reactants in a uniform environment.

p.3
Physical Properties of Solutions

What are the physical properties of solutions mentioned?

Melting point, boiling point, vapor pressure, and osmotic pressure.

p.3
Colligative Properties

What do colligative properties depend on?

The quantity of solute.

p.14
Calculating Molarity and Molality

What is the mass of H₂O used in the density calculation?

95.94 g.

p.24
Titration Techniques

What is the end point of a titration?

The point at which the indicator changes color.

p.25
Titration Techniques

What is the formula used to relate the moles of acid and base at the neutralization point?

N_A V_A = N_B V_B.

p.24
Titration Techniques

What is the equivalence point in an acid-base titration?

The point when the number of moles of OH⁻ added equals the number of moles of H⁺ originally present.

p.2
Importance of Solutions in Chemical Reactions

What is a benefit of using solutions for chemical reactions?

They typically require less expensive and smaller equipment compared to gas and solid-phase reactions.

p.15
Molality vs. Molality

What is the formula for calculating molality (m)?

m = moles of solute / kg of solvent.

p.25
Dilution Calculations

What is the volume of HCl that needs to be neutralized?

50.00 mL.

p.27
Titration Techniques

What is the molarity of Ba(OH)₂ required to neutralize HCl?

0.1292 M.

p.16
Calculating Molarity and Molality

What is the mass of H₂SO₄ used in the solution?

10.66 g

p.26
Titration Techniques

What is the volume of HCl that needs to be neutralized?

50.00 mL.

p.24
Titration Techniques

What indicator is mentioned for the end point of an acid-base titration?

Phenolphthalein.

p.14
Calculating Molarity and Molality

How is the density (ρ) of the solution calculated?

ρ = (mass of H₂O + mass of H₂SO₄) / volume of solution.

p.26
Titration Techniques

What is the molarity of HCl in the reaction?

0.1016 M.

p.6
Physical Properties of Solutions

What is the density of the concentrated hydrochloric acid solution?

1.20 g/mL.

p.16
Calculating Molarity and Molality

What is the molar mass (MW) of H₂SO₄?

98.08 g/mol

p.13
Calculating Molarity and Molality

What is the mass of water used in the solution?

95.94 g of H2O.

p.26
Titration Techniques

What is the relationship between moles of HCl and Ba(OH)₂ in the neutralization reaction?

1 mole of HCl reacts with 0.5 moles of Ba(OH)₂.

p.28
Calculating Molarity and Molality

What parameters are required for the solution of Cr₂(SO₄)₃ with 1.26 M and 1.37 m?

Mole fraction, density, and % w/w.

p.27
Titration Techniques

What volume of 0.1292 M Ba(OH)₂ is required to neutralize 50.00 mL of 0.1016 M HCl?

19.66 mL.

p.8
Calculating Molarity and Molality

What is the mass of the solvent (H2O) in the solution?

63.0 g of H2O.

p.12
Calculating Molarity and Molality

What is the formula for calculating the total mass in a solution?

970 g = mass E + mass W = n E × MW E + n W × MW W.

p.9
Calculating Molarity and Molality

How do you calculate molarity from mole fraction and density?

Molarity can be calculated using the formula: M = (X_E * ρ * 1000) / (M_E), where M_E is the molar mass of ethanol.

p.26
Calculating Molarity and Molality

How many moles of HCl are present in 50.00 mL of 0.1016 M solution?

0.00508 moles.

p.7
Calculating Molarity and Molality

What is the molarity (M) of a solution with 37.0 g of HCl in 100 g of solution?

12.2 mol HCl/L solution.

p.16
Calculating Molarity and Molality

How do you calculate molarity (M) of a solution?

M = moles of solute / liters of solution.

p.10
Concentration Measurements

What is the mole fraction of the solute (E) given in the problem?

X_E = 0.150

p.2
Importance of Solutions in Chemical Reactions

What type of reactor is mentioned for gas-phase reactions?

High pressure gas reactor.

p.9
Concentration Measurements

What is the mole fraction of ethanol in the vodka solution?

0.150.

p.15
Calculating Molarity and Molality

What is the mass of H₂SO₄ in the problem?

10.66 g.

p.16
Calculating Molarity and Molality

What is the volume of the solution in milliliters?

100.0 mL

p.6
Concentration Measurements

How much hydrochloric acid is in 100 g of the solution?

37.0 g HCl.

p.5
Dilution Calculations

What does the dilution equation apply to?

It applies to dilutions, where only solvent is added and the quantity of solute remains unchanged.

p.27
Titration Techniques

How is the normality of Ba(OH)₂ calculated in this context?

N_Ba(OH)₂ = 0.2584 N.

p.22
Molarity vs. Molality

Why is molarity typically less than molality?

Molarity is based on the volume of the solution, which can change with temperature, while molality is based on the mass of the solvent, which remains constant.

p.12
Calculating Molarity and Molality

How is the number of moles of E (n E) calculated in this problem?

n E = 6.54 mol.

p.7
Dilution Calculations

What is the final conversion factor used to find grams of HCl per liter?

Multiply by 1000 mL/L.

p.11
Molality vs. Molality

What is the formula for calculating molality (m) in the context of the problem?

m_E = n_E / kg H2O = 0.176 × n_W / kg H2O.

p.17
Calculating Molarity and Molality

What is the mass of sulfuric acid (H₂SO₄) used in the calculation?

10.66 g H₂SO₄

p.11
Calculating Molarity and Molality

What is the molality of pure water (m_W)?

m_W = 1000 g H2O / 18.0 g H2O/mol = 55.5 mol/kg H2O.

p.11
Calculating Molarity and Molality

What is the final calculated molality (m_E) in the problem?

m_E = 0.176 × 55.5 = 9.77 m.

p.22
Physical Properties of Solutions

What is the density of the H2O solution?

1.00 g/mL.

p.21
Calculating Molarity and Molality

How do you find the number of moles of water (n water)?

n water = mass of water / molar mass of water.

p.4
Concentration Measurements

What is normality (N)?

Equivalents of solute per liter of solution.

p.15
Calculating Molarity and Molality

How do you convert grams of H₂SO₄ to moles?

Use the molar mass of H₂SO₄ (98.08 g/mol).

p.7
Calculating Molarity and Molality

How do you convert grams of HCl to molarity?

Use the formula: M = (grams of solute / molar mass of solute) / volume of solution in liters.

p.8
Calculating Molarity and Molality

How do you convert grams of HCl to moles?

Use the molar mass of HCl to convert grams to moles.

p.10
Calculating Molarity and Molality

How is the relationship between n_E and n_W expressed in the problem?

n_E = 0.176 × n_W

p.7
Calculating Molarity and Molality

How do you calculate the grams of HCl per mL of solution?

Multiply the percentage by the density: 37.0 g HCl / 100 g solution × 1.20 g solution/mL.

p.5
Dilution Calculations

What is the total volume (V2) after adding distilled water?

600 mL or 0.600 L.

p.23
Titration Techniques

What is titration?

A quantitative analytical technique for determining the concentration of a solution.

p.13
Calculating Molarity and Molality

What does XW represent in solution chemistry?

Mole fraction of water in the solution.

p.23
Titration Techniques

What is a titrant?

A solution of known composition and concentration used in titration.

p.23
Titration Techniques

What type of reactions is titration commonly used to investigate?

Acid-base or redox reactions.

p.23
Titration Techniques

What is often used alongside titration to indicate the endpoint?

A colourimetric indicator.

p.23
Titration Techniques

What is the characteristic of the solution being titrated?

It has a known volume but unknown concentration.

p.4
Concentration Measurements

What is molarity (M)?

Moles of solute per liter of solution.

p.19
Calculating Molarity and Molality

What is the volume of water (VW) used in the problem?

60.0 mL.

p.4
Concentration Measurements

What is mole fraction (X)?

Moles of one component to total moles of all components.

p.26
Calculating Molarity and Molality

How many moles of Ba(OH)₂ are needed to neutralize 0.00508 moles of HCl?

0.00254 moles.

p.10
Concentration Measurements

What is the mole fraction of the solvent (W) calculated from the given data?

X_W = 0.850

p.12
Calculating Molarity and Molality

What is the relationship between n W and n E in this problem?

n W = n E × 0.176.

p.18
Health Risks of Methanol in Solutions

What is the density of water (H2O)?

1.000 g/mL.

p.10
Concentration Measurements

What is the final desired unit for the calculation in the problem?

mol E / kg H2O

p.10
Calculating Molarity and Molality

What does the variable n_E represent?

The number of moles of the solute (E).

p.19
Calculating Molarity and Molality

What is the formula to calculate molarity (M) of a solution?

M = n / V, where n is the number of moles and V is the volume in liters.

p.18
Health Risks of Methanol in Solutions

What is the threshold molarity of methanol considered instantly hazardous?

0.3 M.

p.18
Health Risks of Methanol in Solutions

What is the significance of methanol in home-distilled alcohol?

It can result in significant health risks due to its high toxicity.

p.22
Concentration Measurements

What is the molality of H2SO4 in the provided data?

1.134 m.

p.4
Concentration Measurements

What does % v/v represent in concentration measurements?

Milliliters of solute per 100 mL of solution.

p.29
Concentration Measurements

What is the % w/w in problem 3?

85.0%

p.4
Concentration Measurements

What is molality (m)?

Moles of solute per kilogram of solvent.

p.4
Concentration Measurements

What is the relationship between 1M HCl and 1N?

1M HCl equals 1N in H+ ions and 1N in Cl- ions.

p.12
Concentration Measurements

What is the density of the solution given in the problem?

0.970 g/mL.

p.15
Molality vs. Molality

What is the calculated molality (m) of the solution?

1.133 m.

p.17
Calculating Molarity and Molality

What is the mole fraction of water (Xₕ) given in the problem?

0.9800

p.8
Calculating Molarity and Molality

What is the calculated molality of the HCl solution?

16.1 mol/kg H2O.

p.12
Calculating Molarity and Molality

What are the molar masses used in the calculations?

MW E = 46.1 g/mol and MW W = 18.0 g/mol.

p.21
Calculating Molarity and Molality

How do you calculate the number of moles of solute (n solute)?

n solute = mass of solute (g) / molar mass of solute (g/mol).

p.22
Physical Properties of Solutions

What is the density of the HCl solution?

1.2 g/mL.

p.22
Concentration Measurements

What is the molarity of Ethanol in the provided data?

2.57 M.

p.4
Concentration Measurements

What does % w/v represent in concentration measurements?

Grams of solute per 100 mL of solution.

p.19
Calculating Molarity and Molality

How do you calculate the number of moles (nM) of the solute?

nM = mass / MW.

p.4
Concentration Measurements

How does temperature affect molarity?

Molarity is temperature dependent.

p.19
Calculating Molarity and Molality

What is the mass of the solute calculated from the volume and density?

0.124 mol.

p.17
Calculating Molarity and Molality

What is the formula for calculating the mole fraction of water (Xₕ)?

Xₕ = nₕ / (nₕ + nₕ₂SO₄)

p.5
Dilution Calculations

What is the initial molarity (M1) of the HCl solution in the example?

2M.

p.17
Calculating Molarity and Molality

What is the mass of water used in the calculation?

95.94 g H₂O

p.18
Health Risks of Methanol in Solutions

What is the total volume of the sample collected from the illicit distilling operation?

100 mL.

p.21
Calculating Molarity and Molality

What is the formula to calculate the molality (m) of a solution?

m = n solute / mass of solvent (kg).

p.18
Health Risks of Methanol in Solutions

What is the volume of methanol in the sample?

5.00 mL.

p.20
Physical Properties of Solutions

What is the density (ρ) of the solvent (H2O) given in the problem?

1.000 g/mL.

p.19
Calculating Molarity and Molality

What is the volume of the solvent (H2O) in the problem?

100 mL.

p.19
Calculating Molarity and Molality

What is the density (ρE) of the solute in the problem?

0.789 g/mL.

p.21
Calculating Molarity and Molality

What is the mole fraction (χ) of the solvent in this problem?

χ = n solvent / (n solute + n solvent + n water).

p.20
Concentration Measurements

What is the calculated mass of the solvent (H2O) in kg?

0.0600 kg.

p.21
Calculating Molarity and Molality

What is the calculated mole fraction (χ) of the solvent?

0.0294.

p.29
Concentration Measurements

What is the % w/w in problem 4?

19.97%

p.6
Calculating Molarity and Molality

What is the formula to calculate molarity?

Molarity (M) = moles of solute / liters of solution.

p.18
Health Risks of Methanol in Solutions

What is the density of methanol (CH4O)?

0.792 g/mL.

p.7
Concentration Measurements

What is the density of the solution given in the problem?

1.20 g/mL.

p.5
Dilution Calculations

What is the volume of the HCl solution used (V1) in the example?

150 mL or 0.150 L.

p.13
Calculating Molarity and Molality

What does M represent in solution chemistry?

Molarity of the solution.

p.29
Concentration Measurements

What is the mole fraction in problem 1?

0.900

p.22
Concentration Measurements

What is the molality of Acetone in the provided data?

7.35 m.

p.21
Physical Properties of Solutions

What is the density (ρ) of the solvent in this problem?

0.789 g/mL.

p.20
Dilution Calculations

How do you calculate the mass of the solvent (H2O) from its volume and density?

Mass = Volume × Density.

p.20
Concentration Measurements

What is the volume of the solvent (H2O) used in the problem?

60.0 mL.

p.29
Concentration Measurements

What is the molality in problem 3?

57.8 m

p.20
Concentration Measurements

What is the volume of the solute given in the problem?

100 mL.

p.4
Concentration Measurements

How does temperature affect molality?

Molality is not temperature dependent.

p.5
Dilution Calculations

What is the resulting molarity (M2) of the diluted HCl solution?

0.5M.

p.10
Calculating Molarity and Molality

What does the variable n_W represent?

The number of moles of the solvent (W).

p.29
Physical Properties of Solutions

What is the density in problem 2?

1.41 g/mL

p.21
Calculating Molarity and Molality

How do you calculate the mass of the solvent (W) from its volume and density?

mass = volume × density.

p.29
Concentration Measurements

What is the molarity in problem 3?

12.2 M

p.19
Calculating Molarity and Molality

What is the calculated molarity (MM) of the solution?

1.24 mol/L.

p.20
Molarity vs. Molality

What is the molar mass (MW) of the solute given in the problem?

32.0 g/mol.

p.4
Concentration Measurements

Why might you want to use molality instead of molarity?

Because molality is not affected by temperature changes.

p.20
Physical Properties of Solutions

What is the density (ρ) of the solute given in the problem?

0.792 g/mL.

p.4
Concentration Measurements

What is the relationship between 1M H2SO4 and normality?

1M H2SO4 equals 2N in H+ ions, but 1N in SO4^2- ions.

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