Solubility Concepts and Experiments

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Questions and Answers

Which factor does NOT significantly influence the solubility of solid substances in a liquid?

  • Inter-particle forces
  • Pressure (correct)
  • Temperature
  • The type of solvent

How does the solubility of most solid substances change as temperature increases?

  • Solubility decreases
  • Solubility is unpredictable
  • Solubility generally increases (correct)
  • Solubility remains constant

At approximately what temperature is the solubility of sodium sulfate ($Na_2SO_4$) at its maximum value according to the text?

  • 32.4°C (correct)
  • 0°C
  • 100°C
  • 25°C

What happens to the solubility of gases in liquids as the temperature increases?

<p>Solubility decreases (A)</p>
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In the experiment for determining the solubility of NaCl, what is the purpose of adding sodium chloride to water until undissolved salt remains?

<p>To create a saturated solution (B)</p>
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During the NaCl solubility experiment, what is assumed when transferring 50 mL of the saturated solution to the evaporating dish?

<p>That the volume of the solution equals the volume of the solvent. (C)</p>
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In experiment 2.3, after evaporation, the mass of the dry sodium chloride is determined. What does the mass represent?

<p>The mass of the salt that was soluble in the original solution (B)</p>
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Which statement is correct regarding the solubility of NaCl?

<p>The solubility of NaCl is 36 g/100 mL of water at 25°C and 39 g/100 mL at 100°C (A)</p>
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What is the molality of a solution formed by dissolving 32.0 g of $CaCl_2$ in 271 g of water?

<p>1.06 m (A)</p>
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How many gram equivalents are present in 49 g of $H_2SO_4$?

<p>1 eq (D)</p>
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What is the number of equivalents in 0.25 mol of $H_3PO_4$ when it is completely neutralized to $PO_4^{3-}$?

<p>0.75 eq (A)</p>
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What is the normality of a solution containing 0.75 equivalents of solute in 250 mL of solution?

<p>3 N (C)</p>
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What mass of $Na_2CO_3$ is required to prepare 200 mL of a 0.2 N solution?

<p>2.12 g (B)</p>
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A 0.8 M solution of $H_3PO_4$ is prepared. Assuming complete dissociation, what is the normality of this solution?

<p>2.4 N (B)</p>
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If 1 L of a solution contains 4 equivalents of solute, what is its normality?

<p>4 N (A)</p>
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What is the 'z' value for $Al_2(SO_4)_3$ in a precipitation reaction?

<p>6 (A)</p>
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If 0.2 moles of $H_3PO_4$ is converted to $H_2PO_4^-$, how many equivalents are present?

<p>0.2 eq (B)</p>
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A solution has a normality of 0.48 N and contains $Al_2(SO_4)_3$. If the volume is 250 mL, what is the mass of $Al_2(SO_4)_3$?

<p>6.84 g (A)</p>
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Why are gas molecules in the gaseous state far apart?

<p>There are negligible attractive intermolecular interactions. (B)</p>
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What effect does increasing external heat have on the solubility of a gas in a liquid?

<p>It decreases the solubility of the gas. (D)</p>
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According to Henry’s Law, if the partial pressure of a gas above a solution increases, what happens to the solubility of the gas?

<p>The solubility increases. (B)</p>
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What is the unit of the Henry's law constant (k) when concentration is measured in molarity (M) and pressure in atmospheres (atm)?

<p>M/atm (A)</p>
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Which of the following best describes the relationship in the equation $C_1/P_1 = C_2/P_2$?

<p>Directly proportional at constant temperature. (A)</p>
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Which gases do not generally follow Henry's law?

<p>Gases that form strong hydrogen bonds with water. (B)</p>
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A carbonated beverage is bottled under pressure. What happens when the bottle's cap is removed?

<p>The solubility of the gas decreases, causing fizzing (D)</p>
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If the solubility of nitrogen gas is $6.8 \times 10^{-4}$ mol/L at 1 atm, what would be its concentration at a partial pressure of 0.78 atm at the same temperature?

<p>$5.3 \times 10^{-4}$ mol/L (D)</p>
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A solution of carbon dioxide ($CO_2$) has a concentration of 0.032 M at 3.0 atm. If the pressure is increased to 5.0 atm at the same temperature, what is the new concentration of $CO_2$?

<p>0.053 M (D)</p>
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According to Henry's Law, what happens to the concentration of a dissolved gas if the pressure above it is doubled?

<p>The concentration will double. (D)</p>
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Why does the solubility of solids or liquids in liquid solvents not change significantly with pressure?

<p>Because they are incompressible. (D)</p>
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What does the term 'molarity' represent?

<p>The number of moles of the solute per liter of solution. (D)</p>
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What must be determined experimentally for each combination of gas, solvent, and temperature when applying Henry’s law?

<p>The Henry’s law constant (k). (C)</p>
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If the temperature of a gas-liquid solution increases, what initially happens to the solubility of the gas?

<p>It decreases (D)</p>
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Which of the following actions will not increase the solubility of a gas in a liquid?

<p>Increasing the surface of gas to the liquid. (D)</p>
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What is the mass percentage of a solution prepared by dissolving 25 g of salt in 225 g of water?

<p>10% (C)</p>
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A solution is made by mixing 40 mL of ethanol with 160 mL of water. What is the volume percent of ethanol in the solution?

<p>20% (A)</p>
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If a solution contains 5 mg of a pollutant in 2 kg of water, what is the concentration of the pollutant in ppm?

<p>2.5 ppm (C)</p>
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A solution has a concentration of 8 ppm. If the solution is aqueous, what does this concentration mean in mg/L?

<p>8 mg/L (D)</p>
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What does a 75% (v/v) solution of glycerol in water mean?

<p>75 mL of glycerol in 100 mL of solution (A)</p>
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A solution of sodium chloride (NaCl) in water is prepared. The mole fraction of NaCl is 0.30. What is the mole fraction of water?

<p>0.70 (B)</p>
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What is the mass per cent of a solution if 15.0 g of a solute is dissolved in 135 g of water?

<p>10% (C)</p>
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A 100 mL solution contains 5 g of solute. What is the concentration in % (w/v)?

<p>5% (B)</p>
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If a water sample contains 3.0 ppb of a contaminant, what does this mean in terms of mass ratio?

<p>3 g of contaminant per 1,000,000,000 g of solution (D)</p>
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What is the volume percent of a solution if 30 mL of a solute is diluted with 120 mL of solvent?

<p>20% (B)</p>
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How would you make a 25% (w/w) solution using 50 grams of a solute?

<p>Dissolve the solute in 150 grams of solvent. (A)</p>
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If a solution contains 50 ppm of a metal ion, and the solution's volume is 2 liters, approximately how many mg of the metal ion are present?

<p>100 mg (B)</p>
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A solution is made by dissolving 12g of solid in water to make 300 mL of final volume. What is the % (w/v) of the solution?

<p>4% (D)</p>
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Which scenario requires the use of parts per million (ppm) or parts per billion (ppb)?

<p>Measuring the concentration of trace pollutants in water. (B)</p>
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If a solution contains 0.05 moles of solute and 0.45 moles of solvent, what is the mole fraction of the solute?

<p>0.10 (C)</p>
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A solution contains 0.25 moles of solute and 2.5 moles of solvent. What is the mole fraction of the solute?

<p>0.091 (C)</p>
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What is the mole percent of a solution containing 1 mole of solute and 3 moles of solvent?

<p>25% (C)</p>
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If 8 grams of a solute with a molar mass of 40 g/mol is dissolved in enough solvent to make 200 mL of solution, what is the molarity of the solution?

<p>1.0 M (B)</p>
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Which of the following is NOT a drawback of using molarity as a measure of concentration in precise work?

<p>Molarity is expressed in terms of moles instead of mass (B)</p>
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How many moles of NaCl are needed to prepare 500 mL of a 0.25 M solution?

<p>0.125 mol (B)</p>
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Which concentration unit is defined as the number of moles of solute per kilogram of solvent?

<p>Molality (B)</p>
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What is the molality of a solution prepared by dissolving 18 g of glucose (C6H12O6) in 200 g of water? (Molar mass of glucose = 180 g/mol)

<p>0.5 m (B)</p>
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Which of the following remains constant with changes in temperature?

<p>Molality (A)</p>
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What information is required to calculate the normality of a solution?

<p>Mass of the solute, equivalent weight of the solute, and volume of the solution (A)</p>
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If a solution has a normality of 2 N, how many gram equivalents of solute are present in 500 mL of the solution?

<p>1.0 (C)</p>
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What does 'z' represent in the formula: equivalent weight = molar mass / z

<p>Number of replaceable hydrogen ions or hydroxide ions per molecule (B)</p>
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To prepare 1 liter of a 0.5 M solution of a substance with a molar mass of 100 g/mol, how many grams of the substance are required?

<p>50 g (D)</p>
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A 300 g solution contains 30 g of solute, what is the mass percent of the solute?

<p>10% (C)</p>
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Which of the following concentration units is most affected by changes in temperature?

<p>Molarity (A)</p>
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If 20g of a substance with a molar mass of 50g/mol is dissolved in 500g of solvent, what is the molality of the solution? (in mol/kg)

<p>0.8 m (A)</p>
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Flashcards

Solubility

The amount of a substance that can dissolve in a given amount of solvent at a specific temperature.

Temperature Effect on Solid Solubility

The solubility of most solid substances increases as the temperature increases.

Saturated Solution

The process of dissolving a solid substance in a solvent until no more can dissolve, resulting in a saturated solution.

Temperature Effect on Gas Solubility

The solubility of gases in liquids decreases as the temperature increases.

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Concentration

The amount of solute dissolved in a given amount of solvent.

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Evaporation

The process of removing a solvent from a solution, leaving behind a concentrated solute.

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Supernatant Solution

The liquid above the undissolved solid in a saturated solution.

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Solubility Determination

A method to determine the solubility of a substance by dissolving it in a solvent, evaporating the solvent, and measuring the remaining solute.

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Gas-Solvent Interactions

The attractive forces between gas molecules and solvent molecules in a solution, which are formed during the dissolution process.

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Why gases dissolve in liquids?

This phenomenon occurs because the energy released when the new attractive forces are formed between gas molecules and solvent molecules is greater than the energy required to break the attractive forces between the gas molecules themselves.

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Effect of temperature on gas solubility

The solubility of a gas in a liquid decreases as the temperature of the system increases. This is because the added heat energy disrupts the attractive forces between the gas and solvent molecules, causing more of the gas to escape into the gas phase.

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Effect of pressure on gas solubility

The solubility of a gas in a liquid increases as the partial pressure of the gas above the solution increases. This is because the increased pressure forces more gas molecules to dissolve into the liquid.

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Henry's Law

Henry's Law describes the quantitative relationship between the pressure of a gas above a solution and its solubility in the solution. It states that the concentration of a dissolved gas is directly proportional to the partial pressure of the gas above the solution.

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Henry's Law Constant (k)

The Henry's law constant is a proportionality constant that relates the concentration of a dissolved gas to its partial pressure. This value is specific to a particular gas, solvent, and temperature.

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Molarity (M)

The molarity of a solution is a measure of its concentration. It is defined as the number of moles of solute per liter of solution.

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Partial Pressure (P)

The partial pressure of a gas is the pressure that the gas would exert if it occupied the entire volume of the container alone.

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Concentration of dissolved gas (C)

The concentration of a dissolved gas at equilibrium.

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Inverse Relationship between Gas Solubility and Temperature

The solubility of a gas in a liquid is inversely proportional to the temperature of the solution.

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Direct Relationship between Gas Solubility and Pressure

The solubility of a gas in a liquid is directly proportional to the partial pressure of the gas above the solution.

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Mass Percentage

A way to express the concentration of a solution in terms of the mass of solute present in 100 g of solution.

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Parts Per Million (ppm)

A way to express the concentration of a solution in terms of the mass of solute present in one million parts of solution.

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Percent by Mass (% w/w)

The relative amount of a solute in a solution, expressed as a percentage of the total mass of the solution.

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Mass Percentage of Solute

The percentage of solute in a solution, calculated by dividing the mass of the solute by the mass of the solution and multiplying by 100%.

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Volume Percent (% v/v)

The percentage of solute in a solution, calculated by dividing the volume of the solute by the volume of the solution and multiplying by 100%.

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Percent by Weight/Volume (% w/v)

The percentage of solute in a solution, calculated by dividing the mass of the solute by the volume of the solution and multiplying by 100%.

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Mole Fraction (XA)

The ratio of the moles of a specific component in a solution to the total moles of all components in the solution.

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Mole Fraction of a Component

The moles of a substance divided by the total moles of the solution (solute and solvent).

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Total Mole Fraction

The sum of the mole fractions of all components in a solution always equals 1.

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Solute

The solute is the substance that dissolves in a solvent to form a solution.

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Solvent

The substance that dissolves the solute to form a solution. Usually, a solvent is in a larger quantity than a solute.

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Solution

A homogeneous mixture composed of a solute dissolved in a solvent.

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Mole fraction

The proportion of a component's moles to the total moles of all components in a solution, expressed as a decimal.

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Mole percent

Mole fraction expressed as a percentage. It represents the percentage of moles of a specific component in the total moles of the solution.

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Normality (N)

The gram equivalent weight of a solute per liter of solution.

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Equivalent weight

A unit of concentration that's based on the number of equivalents of solute per liter of solution.

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Z (Equivalence Factor)

The number of transferable H+ or OH- ions in an acid-base reaction, positive or negative charges carried by cations or anions in precipitation reaction, or electrons in redox reactions.

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Number of Gram Equivalents

The number of gram equivalents of solute in a solution.

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Gram Equivalent (eq)

The amount of a substance needed to react with one mole of hydrogen ions (H+) or hydroxide ions (OH-) in a reaction.

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Reaction-Dependent Concentration

A measure of concentration that is reaction-specific. For example, the normality of a diprotic acid (H2SO4) will be different in reactions where it releases one H+ compared to when it releases both H+ ions.

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Relation Between Normality and Molarity

Normality (N) can be calculated from molarity (M) by multiplying by the equivalence factor (z).

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Normality Formula

The number of gram equivalents of solute divided by the volume of the solution in liters.

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Equivalents per Liter (Eq/L)

Units of normality.

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Multi-Step Dissociation in Normality

In a multi-step dissociation of diprotic or polyprotic acids, the value of ‘z’ depends on the actual number of H+ released, not just the one in the formula.

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Study Notes

Factors Affecting Solubility

  • Solubility of a substance in a solvent is influenced by inter-particle forces, temperature, and pressure (for gases only).
  • Solid solutes generally increase in solubility with temperature. Sodium sulfate solubility increases significantly between 0°C and 32.4°C.
  • For example, NaCl solubility is 36 g/100 mL of water at 25°C and 39 g/100 mL at 100°C.
  • Gases decrease in solubility with increasing temperature. Heat breaks attractive forces between gas and solvent molecules.

Experiment: Determining Solubility of NaCl

  • Objective: Determine the solubility of NaCl.
  • Apparatus: Beaker, evaporating dish, measuring cylinder, glass rod, filter paper, analytical balance, Bunsen burner.
  • Chemicals: Sodium chloride and water.
  • Procedure:
    • Weigh an empty evaporating dish.
    • Add 100 mL water to a beaker and 20g of NaCl.
    • Stir vigorously until no more NaCl dissolves, leaving undissolved solute at the bottom.
    • Take 50 mL of the saturated solution.
    • Evaporate the solution in an evaporating dish until dry.
    • Cool the evaporating dish and re-weigh.
    • Calculate solubility in grams of NaCl/100 g of water. Repeat with sugar.

Effect of Pressure on Gas Solubility (Henry's Law)

  • Pressure greatly affects the solubility of gases. Solids and liquids are not significantly affected by pressure.

  • Solubility of gases increases as the partial pressure of the gas above the solution increases.

  • Henry's Law: C ∝ P or C = kP Where:

    • C is the concentration of dissolved gas at equilibrium.
    • P is the partial pressure of the gas.
    • k is the Henry's law constant (dependent on the specific gas, solvent, and temperature).
  • The constant, k, is experimentally determined and used to calculate solubility.

  • If partial pressure changes while temperature stays constant, then solubility changes proportionately: C1/P1 = C2/P2

  • Gases with stronger intermolecular forces (like hydrogen bonding) or that react with water do not follow Henry's Law.

Examples of Henry's Law

  • Example 1: CO2 in cola

    • Partial pressure of CO2 inside bottle = 4 atm.
    • Henry's law constant for CO2 in water = 3.3 x 10⁻² mol/L.atm.
    • Calculate CO2 solubility = 0.132 mol/L
  • Example 2: N2 solubility in water

    • N2 partial pressure in the atmosphere = 0.78 atm.
    • Solubility of nitrogen gas at 25°C and 1 atm = 6.8x10⁻⁴ mol/L.
    • Calculate concentration of nitrogen in water under atmospheric conditions = 5.3 × 10⁻⁴ mol/L

Ways of Expressing Solution Concentration

  • Percent by Mass (%w/w): (mass of solute / mass of solution) x 100%
  • Percent by Volume (%v/v): (volume of solute / volume of solution) x 100%
  • Percent by Mass/Volume (%w/v): (mass of solute / volume of solution) x 100%
  • Parts per Million (ppm): (mass of solute / mass of solution) x 10⁶
  • Parts per Billion (ppb): (mass of solute / mass of solution) x 10⁹

Other Concentration Units

  • Mole Fraction: Moles of a substance divided by total moles of solution. A mole fraction is the proportion of solute or solvent particles in the solution.
  • Molarity (M): Moles of solute per liter of solution (moles of solute/ lit of solution)
  • Molality (m): Moles of solute per kilogram of solvent (moles of solute/ kilogram of solvent)
  • Normality (N): Gram equivalent weight of solute per liter of solution.

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