IndietroGeneral Chemistry II: Solutions, Colligative Properties, and Intermolecular Forces Study Guide
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Q1. What intermolecular forces are responsible for solubility?
Background
Topic: Intermolecular Forces and Solubility
This question tests your understanding of the types of intermolecular forces that affect how substances dissolve in solvents.
Key Terms:
Intermolecular Forces (IMFs): Forces of attraction between molecules, such as hydrogen bonding, dipole-dipole, and London dispersion forces.
Solubility: The ability of a solute to dissolve in a solvent.
Step-by-Step Guidance
Recall the three main types of intermolecular forces that can exist between molecules: hydrogen bonding, dipole-dipole interactions, and London dispersion forces.
Think about how these forces operate between solute and solvent molecules to allow for dissolution.
Consider the "like dissolves like" principle: polar solutes dissolve in polar solvents due to similar IMFs, and nonpolar solutes dissolve in nonpolar solvents.
List the types of IMFs that are relevant for common solute-solvent combinations (e.g., ionic-dipole for salts in water).
Try solving on your own before revealing the answer!
Final Answer:
Hydrogen bonding
Dipole-dipole interactions
London dispersion forces (induced dipole-induced dipole)
Ionic-dipole interactions (for ionic compounds in polar solvents)
These forces determine how well a solute can interact with a solvent and thus its solubility.
Q2. List the factors that influence solubility and describe how they influence it.
Background
Topic: Factors Affecting Solubility
This question asks you to identify and explain the main factors that affect how much solute can dissolve in a solvent.
Key Terms:
Temperature: Affects solubility of solids, liquids, and gases differently.
Pressure: Especially important for gases dissolving in liquids.
Nature of solute and solvent: Polarity, molecular size, and structure.
Step-by-Step Guidance
Identify the main factors: temperature, pressure, and the chemical nature of the solute and solvent.
For each factor, think about how it affects solubility (e.g., increasing temperature usually increases solubility of solids but decreases solubility of gases).
Consider how pressure mainly affects the solubility of gases in liquids (think of Henry's Law).
Describe how the polarity and structure of the solute and solvent influence whether they will mix.
Try solving on your own before revealing the answer!
Final Answer:
Temperature: Increasing temperature generally increases solubility of solids and liquids, but decreases solubility of gases in liquids.
Pressure: Increasing pressure increases the solubility of gases in liquids (Henry's Law).
Nature of solute and solvent: "Like dissolves like"—polar solutes dissolve in polar solvents, nonpolar in nonpolar.
Each factor affects the extent to which a solute can dissolve in a given solvent.
Q3. Discuss energy of the solution process.
Background
Topic: Enthalpy of Solution
This question is about the energy changes that occur when a solution forms, including the breaking and forming of intermolecular forces.
Key Terms:
Enthalpy of solution (ΔHsolution): The overall energy change when a solute dissolves in a solvent.
Endothermic/exothermic: Whether the process absorbs or releases heat.
Step-by-Step Guidance
Recall that dissolving involves three steps: breaking solute-solute attractions, breaking solvent-solvent attractions, and forming solute-solvent attractions.
Each step has an associated energy change (endothermic or exothermic).
The sum of these energy changes gives the enthalpy of solution, ΔHsolution.
Consider how the relative magnitudes of these energies determine whether the overall process is endothermic or exothermic.
Try solving on your own before revealing the answer!
Final Answer:
The energy of the solution process (ΔHsolution) is the sum of:
Energy required to break solute-solute interactions (endothermic)
Energy required to break solvent-solvent interactions (endothermic)
Energy released when solute-solvent interactions form (exothermic)
If the energy released in forming solute-solvent interactions is greater than the energy required to break the other interactions, the process is exothermic; otherwise, it is endothermic.
Q4. If the partial pressure of argon in the air is 9.85 mmHg and the “k” for argon is 1.4 x 10-3 mol/L·atm, then what is the concentration of argon gas in a glass of water?
Background
Topic: Henry's Law
This question tests your ability to use Henry's Law to calculate the concentration of a gas dissolved in a liquid at a given partial pressure.
Key Formula:
= concentration of dissolved gas (mol/L)
= Henry's Law constant (mol/L·atm)
= partial pressure of the gas (atm)
Step-by-Step Guidance
Convert the partial pressure from mmHg to atm. (1 atm = 760 mmHg)
Write down the value of and ensure the units are consistent with the pressure in atm.
Plug the values into Henry's Law: .
Set up the calculation for using the converted pressure and the given value.
Try solving on your own before revealing the answer!
Final Answer: 1.8 x 10-5 mol/L
First, convert 9.85 mmHg to atm: atm.
Then, mol/L.
This is the concentration of argon dissolved in water at the given partial pressure.
Q5. A fish tank has air bubbled into it at a pressure of 1.34 atm. If the air going into the tank is composed of 336g of oxygen for every 1107g of nitrogen, determine the molarity of dissolved oxygen in the fish tank. (the kO2 is 1.3 x 10-3 mol/L·atm)
Background
Topic: Henry's Law and Partial Pressures
This question combines gas mixtures, partial pressures, and Henry's Law to find the concentration of dissolved oxygen.
Key Formulas:
Find mole fraction of O2 in air:
Partial pressure:
Henry's Law:
Step-by-Step Guidance
Calculate the moles of O2 and N2 using their molar masses (O2: 32 g/mol, N2: 28 g/mol).
Find the mole fraction of O2 in the air mixture.
Calculate the partial pressure of O2 using the mole fraction and total pressure.
Apply Henry's Law to find the concentration of dissolved O2.
Try solving on your own before revealing the answer!
Final Answer: 1.2 x 10-3 mol/L
Moles O2: mol; Moles N2: mol.
Mole fraction O2:
Partial pressure O2: atm
Concentration: mol/L
Double-check the calculation for significant figures and units.
Q6. Determine the vapor pressure of a 25°C water sample composed of 645g of sucrose (C12H22O11) and 876g of water. (Vapor pressure H2O at 25°C is 23.8 mmHg.)
Background
Topic: Raoult's Law (Vapor Pressure Lowering)
This question tests your ability to use Raoult's Law to calculate the vapor pressure of a solution containing a nonvolatile solute.
Key Formula:
= mole fraction of solvent (water)
= vapor pressure of pure solvent
Step-by-Step Guidance
Calculate the moles of sucrose and water using their molar masses (sucrose: 342 g/mol, water: 18 g/mol).
Find the mole fraction of water in the solution.
Apply Raoult's Law using the mole fraction and the vapor pressure of pure water.
Set up the calculation for the vapor pressure of the solution.
Try solving on your own before revealing the answer!
Final Answer: 20.2 mmHg
Moles sucrose: mol; Moles water: mol.
Mole fraction water:
Vapor pressure: mmHg
The vapor pressure of the solution is lower than that of pure water due to the presence of the nonvolatile solute.
Q7. Determine the amount of sucrose (in grams) you would need to add to 500.0 g of water to decrease the vapor pressure of water to 23.4 mmHg at 25.0°C.
Background
Topic: Raoult's Law (Vapor Pressure Lowering)
This question asks you to work backwards using Raoult's Law to find the mass of solute needed to achieve a specific vapor pressure.
Key Formula:
Step-by-Step Guidance
Set up Raoult's Law with the given vapor pressure and solve for the mole fraction of water.
Calculate the moles of water in 500.0 g (molar mass = 18 g/mol).
Use the mole fraction equation to solve for the moles of sucrose needed.
Convert the moles of sucrose to grams using its molar mass (342 g/mol).
Try solving on your own before revealing the answer!
Final Answer: 29.1 g
First,
Moles water: mol
Set up:
Solve for , then multiply by 342 g/mol to get grams.
Q8. Determine the grams of glucose you would need to add to 1278g of water to raise the normal boiling point of water to 101.3°C. (Kb= 0.52 °C/m) (for any “i” factor use the assumed value)
Background
Topic: Boiling Point Elevation (Colligative Properties)
This question tests your ability to use the boiling point elevation formula to find the mass of solute needed for a desired temperature change.
Key Formula:
= change in boiling point
= van't Hoff factor (for glucose, )
= boiling point elevation constant
= molality (mol solute/kg solvent)
Step-by-Step Guidance
Calculate the change in boiling point: °C
Rearrange the formula to solve for molality:
Calculate the moles of glucose needed using the molality and mass of water (in kg).
Convert moles of glucose to grams (molar mass = 180 g/mol).
Try solving on your own before revealing the answer!
Final Answer: 5.7 x 102 g
Molality: m
Moles glucose: mol
Grams glucose: g
Q9. Determine the boiling point of a solution made by adding 23.5 g of glucose (C6H12O6) to 325 mL of pure water. (Kb= 0.52 °C/m)
Background
Topic: Boiling Point Elevation (Colligative Properties)
This question asks you to calculate the new boiling point of a solution using the mass of solute and solvent.
Key Formula:
= molality = moles solute / kg solvent
Step-by-Step Guidance
Calculate the moles of glucose (molar mass = 180 g/mol).
Convert 325 mL of water to kg (1 mL = 1 g for water).
Calculate the molality of the solution.
Use the boiling point elevation formula to find .
Add to 100.0°C to get the new boiling point.
Try solving on your own before revealing the answer!
Final Answer: 100.12°C
Moles glucose: mol
Mass water: $325 kg
Molality: m
Boiling point elevation: °C
New boiling point: °C
Q10. 167 g of sodium chloride is added to 1500 g of ice, determine the melting point of this mixture. (Kf= 1.86 °C/m) (for any “i” factor use the assumed value)
Background
Topic: Freezing Point Depression (Colligative Properties)
This question tests your ability to calculate the new freezing point of a solution using the freezing point depression formula.
Key Formula:
= van't Hoff factor (for NaCl, )
= molality = moles solute / kg solvent
Step-by-Step Guidance
Calculate the moles of NaCl (molar mass = 58.5 g/mol).
Convert 1500 g of ice to kg.
Calculate the molality of the solution.
Use the freezing point depression formula to find .
Subtract from 0°C to get the new melting point.
Try solving on your own before revealing the answer!
Final Answer: -3.6°C
Moles NaCl: mol
Mass ice: kg
Molality: m
Freezing point depression: °C
New melting point: °C
Q11. Determine the molar mass of a molecular unknown solute, if 25.0 g of this solute lowers the freezing point of 343 g water to -4.56°C. (Kf= 1.86 °C/m)
Background
Topic: Freezing Point Depression and Molar Mass Determination
This question asks you to use freezing point depression data to determine the molar mass of an unknown solute.
Key Formula:
= molality = moles solute / kg solvent
Rearrange to solve for moles solute, then use mass to find molar mass.
Step-by-Step Guidance
Calculate (difference between 0°C and -4.56°C).
Rearrange the formula to solve for molality.
Calculate the moles of solute using the mass of water (in kg) and the molality.
Divide the mass of solute by the moles to find the molar mass.
Try solving on your own before revealing the answer!
Final Answer: 76.2 g/mol
°C
Molality: m
Moles solute: mol
Molar mass: g/mol
Q12. Determine the osmotic pressure of a 750.0 mL solution made of 34.5 g of glucose (C6H12O6) in water at 27.6°C.
Background
Topic: Osmotic Pressure (Colligative Properties)
This question tests your ability to calculate osmotic pressure using the van't Hoff equation.
Key Formula:
= osmotic pressure (atm)
= van't Hoff factor (for glucose, )
= molarity (mol/L)
= 0.0821 L·atm/mol·K
= temperature in Kelvin
Step-by-Step Guidance
Convert 34.5 g glucose to moles (molar mass = 180 g/mol).
Convert 750.0 mL to liters.
Calculate the molarity of the solution.
Convert temperature to Kelvin.
Plug values into the osmotic pressure formula.
Try solving on your own before revealing the answer!
Final Answer: 1.73 atm
Moles glucose: mol
Volume: L
Molarity: M
Temperature: K
Osmotic pressure: atm
Q13. Determine the molar mass of a solute in the 500.0 mL solution if 24.5 g of the molecular solute was added to give an osmotic pressure of 16.7 atm at 30.0°C.
Background
Topic: Osmotic Pressure and Molar Mass Determination
This question asks you to use osmotic pressure data to determine the molar mass of an unknown solute.
Key Formula:
Rearrange to solve for molarity, then moles, then molar mass.
Step-by-Step Guidance
Convert 500.0 mL to liters.
Convert temperature to Kelvin.
Rearrange the osmotic pressure formula to solve for molarity.
Calculate moles of solute using molarity and volume.
Divide the mass of solute by moles to find molar mass.
Try solving on your own before revealing the answer!
Final Answer: 72.2 g/mol
Volume: L
Temperature: K
Molarity: M
Moles: mol
Molar mass: g/mol
Q14. Determine van’t Hoff factor of an unknown ionic salt with the formula X3Y if a 0.453M solution has an osmotic pressure of 40.2 atm at 26.1°C.
Background
Topic: van't Hoff Factor and Colligative Properties
This question asks you to use osmotic pressure data to determine the van't Hoff factor for an ionic compound.
Key Formula:
Rearrange to solve for .
Step-by-Step Guidance
Convert temperature to Kelvin.
Plug the values for osmotic pressure, molarity, , and into the formula.
Rearrange to solve for .
Set up the calculation for .
Try solving on your own before revealing the answer!
Final Answer: 4.0
Temperature: K
This matches the expected van't Hoff factor for a salt that dissociates into 4 ions (e.g., X3Y → 3X+ + Y3-).
Q15. Determine the freezing point of a 250.0 mL sample of ethanol which has 34.5 g of sodium chloride dissolved in it (ethanol freezing point -114.6°C, density of ethanol = 0.789 g/mL and kfp = 1.99 °C·m)
Background
Topic: Freezing Point Depression (Colligative Properties)
This question asks you to calculate the new freezing point of ethanol after adding NaCl.
Key Formula:
= van't Hoff factor (for NaCl, )
= molality = moles solute / kg solvent
Step-by-Step Guidance
Calculate the mass of ethanol using its density and volume.
Convert the mass of ethanol to kg.
Calculate the moles of NaCl (molar mass = 58.5 g/mol).
Calculate the molality of the solution.
Use the freezing point depression formula to find and subtract from the normal freezing point.
Try solving on your own before revealing the answer!
Final Answer: -120.2°C
Mass ethanol: g = kg
Moles NaCl: mol
Molality: m
Freezing point depression: °C
New freezing point: °C
Q16. What do you now understand about the wood frog and hibernation?
Background
Topic: Application of Colligative Properties in Nature
This question is conceptual and asks you to connect your understanding of colligative properties to a biological phenomenon.
Key Terms:
Colligative Properties: Properties that depend on the number of solute particles, not their identity.
Wood Frog Hibernation: Some frogs survive freezing temperatures by increasing solute concentration in their body fluids.
Step-by-Step Guidance
Recall how adding solutes to water lowers its freezing point (freezing point depression).
Think about how this principle could help an organism survive in freezing environments.
Consider what substances the wood frog might use to achieve this effect.
Summarize how colligative properties are relevant to the frog's survival strategy.
Try solving on your own before revealing the answer!
Final Answer:
The wood frog increases the concentration of solutes (like glucose) in its body fluids, which lowers the freezing point of its bodily water. This prevents its cells from freezing and allows it to survive hibernation in subzero temperatures. This is a real-world application of freezing point depression, a colligative property.