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3.7 Solutions and Mixtures

6 min readmarch 18, 2023

Dylan Black

Dylan Black

Kanya Shah

Kanya Shah

Dalia Savy

Dalia Savy

Dylan Black

Dylan Black

Kanya Shah

Kanya Shah

Dalia Savy

Dalia Savy

Attend a live cram event

Review all units live with expert teachers & students

When taking a look at a chemical reaction, there are four phases of matter you may see after each compound: (s), (l), (g), or (aq). So far in this course, we've gone over solids, liquids, and gases quite a bit. Now, let's take a look at since the aq stands for aqueous, or dissolved in water!

Review of Mixtures

In AP Chemistry, a mixture is typically referring to a in which the macroscopic properties depend upon the location of particles in the mixture. An example of a hetereogeneous mixture would be something like soil🌱, where you can actually see what is inside of the mixture, and macroscopic properties matter.

Homogeneous mixtures exist as well, but they are uniform in composition and the macroscopic properties do not vary throughout the sample. If you took a look at a , like , you would not be able to see the individual parts it is made up of.

This image may help you understand the difference between a heterogeneous and :

https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2F-d0I93tX7m23C.png?alt=media&token=4836aad2-3944-4a49-856e-6396b6d2270d

Image Courtesy of Wikipedia

👉 Want a closer review of mixtures and examples of homogeneous and heterogenous mixtures? Review this unit one guide!

What are Solutions?

are homogeneous mixtures where the particles are evenly mixed and the is uniformly distributed within the . The is the substance that is dissolved, while the is the substance that does the dissolving.

https://i.pinimg.com/originals/32/89/0c/32890c1dea3486d09e3e7d7d9ad22676.png

Image Courtesy of Pinterest

can be made up of either solids, liquids, or gases. Here are some examples that may help you connect this chemistry material with your everyday life:

Examples of Solutions

When referring to a , you should think about alloys. Alloys can be formed when two or more elements, where at least one is a metal, are in their liquid form being mixed together. When this mixture cools, the is created.

  • 🍳 is a where the is carbon and the is iron.

  • 🎺 is a where the is zinc and the is copper.

Liquid are most likely what you think of when you see the word "solution." Here are a few:

  • 🧂 where the is salt and the is water.

  • 🍬 where the is sugar and the is water.

  • 🍋 where the solutes are sugar and lemon juice and the is water.

Gas include:

  • 💨 all around you.

  • 🥤 where the is dissolved carbon dioxide and the is water.

Within all of these examples, we can see that form when one substance, the , disperses uniformly throughout another, the .

Interactions in Solutions

is the process of a dissolving a to form a solution. It particularly describes the attractive interaction of molecules with particles: the molecules of the become surrounded by molecules of the . In other words, the particles are said to be "solvated."

When the is water, this process and interaction is called . When a substance is "hydrated," it becomes surrounded by water molecules.

In essence, are a kind of mixture. While solids dissolved in liquids are probably the most common type of solution, it is not the only type, and this is important to keep in mind going forward.

Representing Solution Composition

When discussing , we usually refer to of a dissolved in a . is a measure of the amount of that is dissolved in a given amount of . There are tons of ways to calculate , but the most important and most commonly used form of is .

(M) is formally defined as the number of moles of a dissolved in one liter of . Thus, the formula for is M = moles of /liters of solution, hence the unit of mol/L. For example, if we have a solution that contains 24 moles of HCl dissolved in 2L of water, the is 24/2 = 12, or 12 M HCl as is commonly written.

Other Ways to Represent Concentration

There are other ways of calculating such as percent by mass and , but these won't be tested on the AP exam in May. Let's go over it anyways just in case you pursue chemistry past this course (otherwise you can completely skip this section)!

refers to the mass of / mass of solution x 100. When calculating , make sure to add the mass of the to the mass of the to get the mass of solution.

(m) = moles of / kilograms of . Pay special attention to the units used to calculate ! It is also good to keep in mind that the numerator refers only to the , while the denominator refers only to the (not the solution, like the last two).

Forming a Solution

There are a few steps to forming a solution and each requires a certain amount of energy:

  1. Expand the (separate the into individual components)

  2. Expand the (breaking IMFs to make room for the )

  3. - Interactions (forming IMFs between the and the )

Sometimes, the first two steps can even be skipped.

https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2F-zzJIB0rJxVcs.JPG?alt=media&token=958c5d01-88e6-42a6-adb8-737aa4e4face

Image Courtesy of Fiveable's Unit 3 Review

Diluting Solutions

Decreasing the of a in a solution is referred to as diluting the solution. When we dilute a solution we have two options: remove some or add some . Typically, removing is either completely impossible or difficult to control. Imagine having to accurately remove a certain mass of salt🧂 from a collection of . It's essentially impossible! So, chemists often simply add to the solution to get a lower . Why does this work? Well, recall the definition of : M = mol/L.

If we lower the moles of , of course, will decrease. Conversely, if the liters of increases, will also decrease! Thus, adding is typically the easiest way to lower the of a solution.

We can calculate exact volumes using the equation: M1V1 = M2V2, where M1 and V1 are the and volume of the original solution and M2 and V2 refer to the and volume of the diluted solution.

is pretty important. Stock used in lab are typically very concentrated since it is better to carry less material that has more substance. When its time to conduct an experiment, chemists dilute the stock to the desired .

How does dilution work?

M1V1 = M2V2 works because * liters = mols (Moles/Liter * liter = moles) and since the number of moles remain constant throughout, M1V1 (the number of moles in the original solution) must necessarily equal M2V2 (the number of moles in the diluted solution). The only difference is in M1V1 and M2V2, and volume are changing proportionally to each other.

You can just plug in the numbers and easily get any value you are solving for! 🥳

Key Terms to Review (23)

Air

: Air is an example of a gas solution made up mostly of nitrogen and oxygen along with small amounts other gases like argon and carbon dioxide.

Alloy

: An alloy is a mixture of two or more elements, where at least one element is a metal. This combination results in a substance with properties that are different from the original elements.

Brass

: Brass is an alloy made primarily from copper and zinc. It's known for its bright gold appearance and resistance to corrosion.

Carbonated Water

: Carbonated water is water into which carbon dioxide gas under pressure has been dissolved, a process that causes the water to become effervescent or fizzy.

Concentration

: In chemistry, concentration refers to the amount of a substance per defined space. It's usually measured in terms of mass per volume.

Dilution

: Dilution refers to reducing the concentration of a solute in a solution, usually by adding more solvent.

Gas Solution

: A gas solution is one where different gases are mixed together uniformly. Each gas retains its individual properties but behaves as one single gas.

Heterogeneous Mixture

: A heterogeneous mixture is a combination of two or more substances, where the different components can be visually distinguished.

Homogeneous Mixture

: A homogeneous mixture is a type of mixture in which the components are uniformly distributed throughout, and cannot be visually distinguished from one another.

Hydration

: Hydration refers specifically to the process where water molecules surround and interact with ions or other polar substances due its polarity, leading them to dissolve effectively in water.

Lemonade

: In the context of chemistry, lemonade is an example of a solution, which is a homogeneous mixture composed of two or more substances. In this case, it's primarily water (the solvent) with dissolved sugar and lemon juice (the solutes).

Liquid Solution

: A liquid solution is a homogeneous mixture of two or more substances in which the solute is uniformly distributed within the solvent.

Mass Percent

: Mass percent is the mass of a component divided by the total mass of the mixture, multiplied by 100%.

Molality

: Molality is a measure of the concentration of a solute in a solution, expressed as the number of moles of solute per kilogram of solvent.

Molarity

: Molarity is a measure of the concentration of a solute in a solution, or of any chemical species in terms of amount of substance in a given volume.

Salt Water

: Salt water is an example of an aqueous solution where salt (sodium chloride) is the solute and water is the solvent.

Solid Solution

: A solid solution is a solid-state mixture of two or more solids that are mixed at the atomic level.

Solute

: Solute is the substance that gets dissolved in a solution.

Solutions

: Solutions are specific types of homogeneous mixtures formed when one substance (the solute) dissolves completely into another (the solvent).

Solvation

: Solvation is the process where solvent molecules surround and interact with solute ions or molecules during dissolution.

Solvent

: A solvent is a substance that dissolves a solute (a chemically different liquid, solid or gas), resulting in a solution.

Steel

: Steel is an alloy made primarily from iron and carbon, often along with other elements like manganese or nickel to enhance certain properties like strength or resistance to rust.

Sugar Water

: Sugar water is another example of an aqueous solution where sugar (sucrose) is the solute and water is the solvent.

3.7 Solutions and Mixtures

6 min readmarch 18, 2023

Dylan Black

Dylan Black

Kanya Shah

Kanya Shah

Dalia Savy

Dalia Savy

Dylan Black

Dylan Black

Kanya Shah

Kanya Shah

Dalia Savy

Dalia Savy

Attend a live cram event

Review all units live with expert teachers & students

When taking a look at a chemical reaction, there are four phases of matter you may see after each compound: (s), (l), (g), or (aq). So far in this course, we've gone over solids, liquids, and gases quite a bit. Now, let's take a look at since the aq stands for aqueous, or dissolved in water!

Review of Mixtures

In AP Chemistry, a mixture is typically referring to a in which the macroscopic properties depend upon the location of particles in the mixture. An example of a hetereogeneous mixture would be something like soil🌱, where you can actually see what is inside of the mixture, and macroscopic properties matter.

Homogeneous mixtures exist as well, but they are uniform in composition and the macroscopic properties do not vary throughout the sample. If you took a look at a , like , you would not be able to see the individual parts it is made up of.

This image may help you understand the difference between a heterogeneous and :

https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2F-d0I93tX7m23C.png?alt=media&token=4836aad2-3944-4a49-856e-6396b6d2270d

Image Courtesy of Wikipedia

👉 Want a closer review of mixtures and examples of homogeneous and heterogenous mixtures? Review this unit one guide!

What are Solutions?

are homogeneous mixtures where the particles are evenly mixed and the is uniformly distributed within the . The is the substance that is dissolved, while the is the substance that does the dissolving.

https://i.pinimg.com/originals/32/89/0c/32890c1dea3486d09e3e7d7d9ad22676.png

Image Courtesy of Pinterest

can be made up of either solids, liquids, or gases. Here are some examples that may help you connect this chemistry material with your everyday life:

Examples of Solutions

When referring to a , you should think about alloys. Alloys can be formed when two or more elements, where at least one is a metal, are in their liquid form being mixed together. When this mixture cools, the is created.

  • 🍳 is a where the is carbon and the is iron.

  • 🎺 is a where the is zinc and the is copper.

Liquid are most likely what you think of when you see the word "solution." Here are a few:

  • 🧂 where the is salt and the is water.

  • 🍬 where the is sugar and the is water.

  • 🍋 where the solutes are sugar and lemon juice and the is water.

Gas include:

  • 💨 all around you.

  • 🥤 where the is dissolved carbon dioxide and the is water.

Within all of these examples, we can see that form when one substance, the , disperses uniformly throughout another, the .

Interactions in Solutions

is the process of a dissolving a to form a solution. It particularly describes the attractive interaction of molecules with particles: the molecules of the become surrounded by molecules of the . In other words, the particles are said to be "solvated."

When the is water, this process and interaction is called . When a substance is "hydrated," it becomes surrounded by water molecules.

In essence, are a kind of mixture. While solids dissolved in liquids are probably the most common type of solution, it is not the only type, and this is important to keep in mind going forward.

Representing Solution Composition

When discussing , we usually refer to of a dissolved in a . is a measure of the amount of that is dissolved in a given amount of . There are tons of ways to calculate , but the most important and most commonly used form of is .

(M) is formally defined as the number of moles of a dissolved in one liter of . Thus, the formula for is M = moles of /liters of solution, hence the unit of mol/L. For example, if we have a solution that contains 24 moles of HCl dissolved in 2L of water, the is 24/2 = 12, or 12 M HCl as is commonly written.

Other Ways to Represent Concentration

There are other ways of calculating such as percent by mass and , but these won't be tested on the AP exam in May. Let's go over it anyways just in case you pursue chemistry past this course (otherwise you can completely skip this section)!

refers to the mass of / mass of solution x 100. When calculating , make sure to add the mass of the to the mass of the to get the mass of solution.

(m) = moles of / kilograms of . Pay special attention to the units used to calculate ! It is also good to keep in mind that the numerator refers only to the , while the denominator refers only to the (not the solution, like the last two).

Forming a Solution

There are a few steps to forming a solution and each requires a certain amount of energy:

  1. Expand the (separate the into individual components)

  2. Expand the (breaking IMFs to make room for the )

  3. - Interactions (forming IMFs between the and the )

Sometimes, the first two steps can even be skipped.

https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2F-zzJIB0rJxVcs.JPG?alt=media&token=958c5d01-88e6-42a6-adb8-737aa4e4face

Image Courtesy of Fiveable's Unit 3 Review

Diluting Solutions

Decreasing the of a in a solution is referred to as diluting the solution. When we dilute a solution we have two options: remove some or add some . Typically, removing is either completely impossible or difficult to control. Imagine having to accurately remove a certain mass of salt🧂 from a collection of . It's essentially impossible! So, chemists often simply add to the solution to get a lower . Why does this work? Well, recall the definition of : M = mol/L.

If we lower the moles of , of course, will decrease. Conversely, if the liters of increases, will also decrease! Thus, adding is typically the easiest way to lower the of a solution.

We can calculate exact volumes using the equation: M1V1 = M2V2, where M1 and V1 are the and volume of the original solution and M2 and V2 refer to the and volume of the diluted solution.

is pretty important. Stock used in lab are typically very concentrated since it is better to carry less material that has more substance. When its time to conduct an experiment, chemists dilute the stock to the desired .

How does dilution work?

M1V1 = M2V2 works because * liters = mols (Moles/Liter * liter = moles) and since the number of moles remain constant throughout, M1V1 (the number of moles in the original solution) must necessarily equal M2V2 (the number of moles in the diluted solution). The only difference is in M1V1 and M2V2, and volume are changing proportionally to each other.

You can just plug in the numbers and easily get any value you are solving for! 🥳

Key Terms to Review (23)

Air

: Air is an example of a gas solution made up mostly of nitrogen and oxygen along with small amounts other gases like argon and carbon dioxide.

Alloy

: An alloy is a mixture of two or more elements, where at least one element is a metal. This combination results in a substance with properties that are different from the original elements.

Brass

: Brass is an alloy made primarily from copper and zinc. It's known for its bright gold appearance and resistance to corrosion.

Carbonated Water

: Carbonated water is water into which carbon dioxide gas under pressure has been dissolved, a process that causes the water to become effervescent or fizzy.

Concentration

: In chemistry, concentration refers to the amount of a substance per defined space. It's usually measured in terms of mass per volume.

Dilution

: Dilution refers to reducing the concentration of a solute in a solution, usually by adding more solvent.

Gas Solution

: A gas solution is one where different gases are mixed together uniformly. Each gas retains its individual properties but behaves as one single gas.

Heterogeneous Mixture

: A heterogeneous mixture is a combination of two or more substances, where the different components can be visually distinguished.

Homogeneous Mixture

: A homogeneous mixture is a type of mixture in which the components are uniformly distributed throughout, and cannot be visually distinguished from one another.

Hydration

: Hydration refers specifically to the process where water molecules surround and interact with ions or other polar substances due its polarity, leading them to dissolve effectively in water.

Lemonade

: In the context of chemistry, lemonade is an example of a solution, which is a homogeneous mixture composed of two or more substances. In this case, it's primarily water (the solvent) with dissolved sugar and lemon juice (the solutes).

Liquid Solution

: A liquid solution is a homogeneous mixture of two or more substances in which the solute is uniformly distributed within the solvent.

Mass Percent

: Mass percent is the mass of a component divided by the total mass of the mixture, multiplied by 100%.

Molality

: Molality is a measure of the concentration of a solute in a solution, expressed as the number of moles of solute per kilogram of solvent.

Molarity

: Molarity is a measure of the concentration of a solute in a solution, or of any chemical species in terms of amount of substance in a given volume.

Salt Water

: Salt water is an example of an aqueous solution where salt (sodium chloride) is the solute and water is the solvent.

Solid Solution

: A solid solution is a solid-state mixture of two or more solids that are mixed at the atomic level.

Solute

: Solute is the substance that gets dissolved in a solution.

Solutions

: Solutions are specific types of homogeneous mixtures formed when one substance (the solute) dissolves completely into another (the solvent).

Solvation

: Solvation is the process where solvent molecules surround and interact with solute ions or molecules during dissolution.

Solvent

: A solvent is a substance that dissolves a solute (a chemically different liquid, solid or gas), resulting in a solution.

Steel

: Steel is an alloy made primarily from iron and carbon, often along with other elements like manganese or nickel to enhance certain properties like strength or resistance to rust.

Sugar Water

: Sugar water is another example of an aqueous solution where sugar (sucrose) is the solute and water is the solvent.


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AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.


© 2024 Fiveable Inc. All rights reserved.

AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.