11-04: Solutions
Intro
A solution: a homogeneous (alike, no visibly different parts) mixture of 2 or more substances
Mixable substances: “miscible” ☞ can be mixed in any proportion
Some mixtures appear to be solutions when they're not (eg dusty air, milk)
Solutions can be solids (teeth filling, alloys), liquids (rubbing alcohol, hand sanitizer), or gases (air tanks, or just air in general)
Solutions are homogeneous mixtures of a solute (which is the substance in a lesser quantity) and a solvent (which is the substance in a greater quantity)
In a 5% alcohol Coors beer, the alcohol is the solute and water is the solvent - there is less alcohol (5%) thus making it the solute
The relative quantity of solute in a solution determines whether it is deemed to be concentrated or dilute
Concentrated ←–––––––––––→ Dilute
When water is the solvent, the solution is called “aqueous”
These are common solutions & have many applications in chemistry
Many molecules & ionic compounds can dissolve in water
Water is a unique solvent because of its structure and shape, which makes it very polar
The polarity of water is what attracts it to ions (both positive and negative) and other polar molecules
Ionic compounds dissociate in water & the ions become hydrated (surrounded by water molecules). Dissociation equation shows the solid breaking into ions
e.g.
NaCl (s) → Na⁺ (aq) + Cl⁻ (aq)
Molecules that are polar will also be attracted to water
They also become surrounded by water molecules when dissolving
Atoms of oxygen & hydrogen are often present in very polar molecules
Oil does not dissolve in water, because it is not polar
Oil can, however, dissolve other solutes that aren't polar (eg turpentine)
Polar & nonpolar compounds can mix, if there is a compound that is attracted to both
These surfactants like soaps & detergents have both polar and nonpolar parts on the same molecule
Therefore, the soap will be attracted to both the oily food and water, which helps in cleaning
Solubility and Saturation
The solubility of a substance is the MAXIMUM amount that can dissolve in a given solvent (usually 100g water)
When this maximum has been reached ☞ solution is said to be saturated
Excess solute will sit at the bottom of the container, regardless of how much its stirred or how long it sits
Unsaturated solutions have LESS than the max amount of solvent dissolved
Supersaturated solutions are formed under conditions that allow more solute to dissolve than is usually possible at a given temperature
The solubility of a compound changes with temperature
Solids usually become more soluble in water at higher temperatures since the added heat helps to break more bonds
Gas solubility usually decreases as temperature increases, due to the energy given off while dissolving the gas particles, since there are no bonds requiring energy to break
Added pressure will increase the solubility of gases, but has very little effect on liquids & solids
You can determine the saturation concentration of a solution by using the solubility graph
If above the line ☞ supersaturated solution
If on the line ☞ saturated solution
If below the line ☞ unsaturated solution
When there is excess solute in a solution, it will form a solid called a precipitate
You can also determine if a precipitate will form from a solubility curve
Go from original temperature to new temperature. The precipitate is the difference (subtract) between how much is dissolved and the saturation point at that temperature
Solution Concentrations
Solution concentrations are usually quantified, in units of solute dissolved per units of solution
The most common are moles of solute per litre of solution ☞ this is called MOLARITY ((capital) M)
M = Moles of solute
**Litres of solution**
The concentration of a solution can be used just like any other conversion factor
(If you're given g, then you can use molar mass to get to moles)
Very small concentrations are often expressed in ppm (parts per million) or ppb (parts per billion) using either mass or volume
10⁶ for ppm, 10⁹ for ppb
ppm (m/m) = Mass of solute x 10⁶
**Mass of solution**
ppm (v/v) = Volume of solute x 10⁶
**Volume of solution**
ppb (m/v) = Mass of solute x 10⁹
**Volume of solution**
Note: you could use 10⁹ for ppb in any formula and 10⁶ for ppm
Concentrations can also be expressed as percentages, by mass and/or volume of solute in a solution
Percentage (m/v) = Mass of solute x 100
**Volume of solution**
Alloys are solid mixtures
Their concentrations are often expressed as a percentage by mass
Percentage (m/m) = Mass of solute x 100
**Mass of solution**
Formulas
Molarity: Molarity = Moles/Litres
Ppm/ppb (m/m): Mass of solute x 10⁶ for ppm OR x 10⁹ for ppb
Mass of solution
Ppm/ppb (v/v): Volume of solute x 10⁶ for ppm OR x 10⁹ for ppb
Volume of solution
Ppm/ppb (m/v): Mass of solute x 10⁶ for ppm OR x 10⁹ for ppb
Volume of solution
Dilution and Mixing Solutions
Dilution = when more solvent is added to a solution which lowers the concentration
The new concentration can be determined by using the formula: C₁V₁ = C₂V₂
Adding solvent doesn't change the moles of the solute that's been dissolved
Since the concentration multiplied by the volume is the moles of a solute, they will be equal before and after ⇒ Molarity is a representation of concentration, but the moles themselves aren't going to change
You need to rearrange the formula to find what you're looking for to solve dilution problems
If 2 solutions with the same solute & solvent are mixed they will dilute each other - the moles of a solute can be added together as they are both in the final mixture
Mixing solutions formula: C₁V₁ + C₂V₂ = C₃V₃
Acidic and Basic Solutions
Acids = substances that ionize to produce H+ ions in solution
Bases = substances that dissociate to produce OH- in solution
H+ ions are protons
The strength of acids is the result of how completely the acid donates protons to the solution, making hydronium ions, H₃O+
The degree to which an acid ionizes can be expressed as a percentage
Strong acids, like HCl and H₂SO₄ ionize 100%
Weak acids, like CH₃COOH & other organic acids have a much lower ionization percentage.
Find Ionization percentage:
% ionization = [H⁺] x 100
\[acid\]
The square brackets represent concentration in a formula!
The pH and pOH are a measure related to the concentration of H+ or OH- ions in solution
Each increment on the scale is a 10x difference in concentration
Formulas related to pH & pOH
pH = - log [H+]
[H+] = 10 - pH
pOH = - log [OH-]
11-04: Solutions
Intro
A solution: a homogeneous (alike, no visibly different parts) mixture of 2 or more substances
Mixable substances: “miscible” ☞ can be mixed in any proportion
Some mixtures appear to be solutions when they're not (eg dusty air, milk)
Solutions can be solids (teeth filling, alloys), liquids (rubbing alcohol, hand sanitizer), or gases (air tanks, or just air in general)
Solutions are homogeneous mixtures of a solute (which is the substance in a lesser quantity) and a solvent (which is the substance in a greater quantity)
In a 5% alcohol Coors beer, the alcohol is the solute and water is the solvent - there is less alcohol (5%) thus making it the solute
The relative quantity of solute in a solution determines whether it is deemed to be concentrated or dilute
Concentrated ←–––––––––––→ Dilute
When water is the solvent, the solution is called “aqueous”
These are common solutions & have many applications in chemistry
Many molecules & ionic compounds can dissolve in water
Water is a unique solvent because of its structure and shape, which makes it very polar
The polarity of water is what attracts it to ions (both positive and negative) and other polar molecules
Ionic compounds dissociate in water & the ions become hydrated (surrounded by water molecules). Dissociation equation shows the solid breaking into ions
e.g.
NaCl (s) → Na⁺ (aq) + Cl⁻ (aq)
Molecules that are polar will also be attracted to water
They also become surrounded by water molecules when dissolving
Atoms of oxygen & hydrogen are often present in very polar molecules
Oil does not dissolve in water, because it is not polar
Oil can, however, dissolve other solutes that aren't polar (eg turpentine)
Polar & nonpolar compounds can mix, if there is a compound that is attracted to both
These surfactants like soaps & detergents have both polar and nonpolar parts on the same molecule
Therefore, the soap will be attracted to both the oily food and water, which helps in cleaning
Solubility and Saturation
The solubility of a substance is the MAXIMUM amount that can dissolve in a given solvent (usually 100g water)
When this maximum has been reached ☞ solution is said to be saturated
Excess solute will sit at the bottom of the container, regardless of how much its stirred or how long it sits
Unsaturated solutions have LESS than the max amount of solvent dissolved
Supersaturated solutions are formed under conditions that allow more solute to dissolve than is usually possible at a given temperature
The solubility of a compound changes with temperature
Solids usually become more soluble in water at higher temperatures since the added heat helps to break more bonds
Gas solubility usually decreases as temperature increases, due to the energy given off while dissolving the gas particles, since there are no bonds requiring energy to break
Added pressure will increase the solubility of gases, but has very little effect on liquids & solids
You can determine the saturation concentration of a solution by using the solubility graph
If above the line ☞ supersaturated solution
If on the line ☞ saturated solution
If below the line ☞ unsaturated solution
When there is excess solute in a solution, it will form a solid called a precipitate
You can also determine if a precipitate will form from a solubility curve
Go from original temperature to new temperature. The precipitate is the difference (subtract) between how much is dissolved and the saturation point at that temperature
Solution Concentrations
Solution concentrations are usually quantified, in units of solute dissolved per units of solution
The most common are moles of solute per litre of solution ☞ this is called MOLARITY ((capital) M)
M = Moles of solute
**Litres of solution**
The concentration of a solution can be used just like any other conversion factor
(If you're given g, then you can use molar mass to get to moles)
Very small concentrations are often expressed in ppm (parts per million) or ppb (parts per billion) using either mass or volume
10⁶ for ppm, 10⁹ for ppb
ppm (m/m) = Mass of solute x 10⁶
**Mass of solution**
ppm (v/v) = Volume of solute x 10⁶
**Volume of solution**
ppb (m/v) = Mass of solute x 10⁹
**Volume of solution**
Note: you could use 10⁹ for ppb in any formula and 10⁶ for ppm
Concentrations can also be expressed as percentages, by mass and/or volume of solute in a solution
Percentage (m/v) = Mass of solute x 100
**Volume of solution**
Alloys are solid mixtures
Their concentrations are often expressed as a percentage by mass
Percentage (m/m) = Mass of solute x 100
**Mass of solution**
Formulas
Molarity: Molarity = Moles/Litres
Ppm/ppb (m/m): Mass of solute x 10⁶ for ppm OR x 10⁹ for ppb
Mass of solution
Ppm/ppb (v/v): Volume of solute x 10⁶ for ppm OR x 10⁹ for ppb
Volume of solution
Ppm/ppb (m/v): Mass of solute x 10⁶ for ppm OR x 10⁹ for ppb
Volume of solution
Dilution and Mixing Solutions
Dilution = when more solvent is added to a solution which lowers the concentration
The new concentration can be determined by using the formula: C₁V₁ = C₂V₂
Adding solvent doesn't change the moles of the solute that's been dissolved
Since the concentration multiplied by the volume is the moles of a solute, they will be equal before and after ⇒ Molarity is a representation of concentration, but the moles themselves aren't going to change
You need to rearrange the formula to find what you're looking for to solve dilution problems
If 2 solutions with the same solute & solvent are mixed they will dilute each other - the moles of a solute can be added together as they are both in the final mixture
Mixing solutions formula: C₁V₁ + C₂V₂ = C₃V₃
Acidic and Basic Solutions
Acids = substances that ionize to produce H+ ions in solution
Bases = substances that dissociate to produce OH- in solution
H+ ions are protons
The strength of acids is the result of how completely the acid donates protons to the solution, making hydronium ions, H₃O+
The degree to which an acid ionizes can be expressed as a percentage
Strong acids, like HCl and H₂SO₄ ionize 100%
Weak acids, like CH₃COOH & other organic acids have a much lower ionization percentage.
Find Ionization percentage:
% ionization = [H⁺] x 100
\[acid\]
The square brackets represent concentration in a formula!
The pH and pOH are a measure related to the concentration of H+ or OH- ions in solution
Each increment on the scale is a 10x difference in concentration
Formulas related to pH & pOH
pH = - log [H+]
[H+] = 10 - pH
pOH = - log [OH-]