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Easy Guide to Naming Binary Covalent Compounds and Group Elements in Chemistry

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Easy Guide to Naming Binary Covalent Compounds and Group Elements in Chemistry
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Sara Proctor

@araroctor_ipvn

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The periodic table organizes elements based on their properties and behaviors, helping us understand how different elements interact and form compounds. This systematic arrangement makes it easier to predict chemical reactions and understand atomic structure.

When studying Properties and uses of group elements in the periodic table, it's important to understand that elements in the same group share similar characteristics. For example, Group 1 elements (alkali metals) are highly reactive and form ionic compounds with halogens. Group 18 elements (noble gases) are mostly unreactive due to their stable electron configurations. The transition metals, found in the middle of the periodic table, often form colorful compounds and have multiple oxidation states. Understanding these group properties helps predict how elements will behave in chemical reactions and what types of compounds they can form.

Naming binary covalent compounds using prefixes follows specific rules that help identify the number of atoms of each element in the compound. The prefixes (mono-, di-, tri-, tetra-, penta-, hexa-, hepta-, octa-, nona-, and deca-) indicate how many atoms of each element are present. For example, in carbon dioxide (CO2), the prefix "di-" tells us there are two oxygen atoms. This naming system is crucial for clear communication in chemistry and ensures that scientists worldwide can understand the composition of compounds. When writing chemical formulas, it's essential to place the less electronegative element first, followed by the more electronegative element. This standardized approach to naming compounds helps students and scientists accurately describe and work with different chemical substances. The systematic nature of chemical nomenclature reflects the organized way we study and understand matter at the atomic level.

9/8/2023

41

NAMING BINARY COMPOUNDS
(COVALENT) Prefixes
Name the following compounds using the prefix method.
carbon monoxide
Carbon dioxide
Sulfur diox

View

Understanding Binary Covalent Compound Nomenclature

Naming binary covalent compounds using prefixes follows specific rules that help chemists communicate clearly about molecular structures. When two nonmetals combine to form a compound, we use numerical prefixes to indicate how many atoms of each element are present in the molecule.

Definition: Binary covalent compounds are molecules formed between two different nonmetal elements that share electrons to create chemical bonds.

The prefix system uses specific terms to denote quantity: mono- (1), di- (2), tri- (3), tetra- (4), penta- (5), hexa- (6), hepta- (7), octa- (8), nona- (9), and deca- (10). When naming these compounds, the first element keeps its full name while the second element gets an -ide ending. The prefix mono- is typically omitted for the first element.

Example:

  • CO₂ = carbon dioxide (one carbon, two oxygen)
  • N₂O = dinitrogen monoxide (two nitrogen, one oxygen)
  • SO₃ = sulfur trioxide (one sulfur, three oxygen)
  • CCl₄ = carbon tetrachloride (one carbon, four chlorine)
NAMING BINARY COMPOUNDS
(COVALENT) Prefixes
Name the following compounds using the prefix method.
carbon monoxide
Carbon dioxide
Sulfur diox

View

Properties and Uses of Periodic Table Groups 1-13

Properties and uses of group elements in the periodic table showcase distinct patterns that make them valuable for various applications. The alkali metals (Group 1) and alkaline earth metals (Group 2) demonstrate high reactivity and specific industrial uses.

Highlight: Alkali metals share characteristics like being soft, silvery-white, and highly reactive with water. They all have one valence electron, making them excellent conductors.

Transition elements (Groups 3-12) exhibit diverse properties including variable oxidation states, colored compounds, and catalytic activity. Many transition metals like iron, copper, and titanium are crucial in construction and manufacturing. The Boron Group (Group 13) contains both metals and metalloids, with aluminum being particularly important in everyday applications.

Vocabulary: Malleable (can be hammered into sheets), Ductile (can be drawn into wires), Valence electrons (outer shell electrons involved in bonding)

NAMING BINARY COMPOUNDS
(COVALENT) Prefixes
Name the following compounds using the prefix method.
carbon monoxide
Carbon dioxide
Sulfur diox

View

Understanding Groups 14-18 of the Periodic Table

The Carbon Group (Group 14) through Noble Gases (Group 18) display fascinating trends in properties and applications. Carbon-group elements show varying characteristics from nonmetals to metals, while the Nitrogen Group (Group 15) elements are essential for life processes.

Example: The Oxygen Group (Group 16) includes vital elements like oxygen and sulfur, which form crucial compounds in both living organisms and industrial processes.

The Halogens (Group 17) are highly reactive nonmetals that form diatomic molecules and are widely used in water treatment and medical applications. Noble Gases (Group 18) stand out for their stability and inertness, making them valuable for specialized applications like lighting and medical imaging.

Definition: Diatomic molecules are molecules composed of two atoms of the same element, such as F₂, Cl₂, and I₂.

NAMING BINARY COMPOUNDS
(COVALENT) Prefixes
Name the following compounds using the prefix method.
carbon monoxide
Carbon dioxide
Sulfur diox

View

Understanding Acceleration in Physics

Acceleration represents the rate of change in velocity over time, a fundamental concept in physics that describes how objects speed up, slow down, or change direction. This quantity is typically measured in meters per second squared (m/s²).

Definition: Acceleration is the change in velocity divided by the time taken for that change to occur.

Understanding positive and negative acceleration helps explain real-world motion. Positive acceleration occurs when an object speeds up in its original direction, while negative acceleration (deceleration) happens when an object slows down. This concept can be visualized through velocity-time graphs, where the slope indicates the acceleration.

Example: If an inline skater increases speed from 3 m/s to 9 m/s in 3 seconds, their acceleration would be: a = (9 m/s - 3 m/s) ÷ 3 s = 2 m/s²

NAMING BINARY COMPOUNDS
(COVALENT) Prefixes
Name the following compounds using the prefix method.
carbon monoxide
Carbon dioxide
Sulfur diox

View

Understanding Acids, Bases and Chemical Solutions

The fundamental properties of acids and bases play a crucial role in chemistry and everyday life. These substances exhibit distinct characteristics that help us identify and understand their behavior in various chemical reactions.

Acids demonstrate several unique properties that set them apart from bases. They produce hydrogen ions in solution, have a characteristically sour taste, and are often found in common substances like citrus fruits and vinegar. In practical applications, acids are essential components in industrial processes and are present in biological systems - for example, hydrochloric acid in our stomach aids digestion.

Definition: Acids are substances that produce hydrogen ions (H+) in aqueous solutions and have a pH less than 7.

Bases, in contrast, have their own distinctive traits. They produce hydroxide ions in solution, feel slippery to the touch, and have a bitter taste. Common examples include household ammonia and soap. Bases are crucial in manufacturing processes and cleaning products due to their ability to neutralize acids and break down organic materials.

Example: Sodium hydroxide (NaOH) is a common base used in soap making and drain cleaners.

The relationship between acids and bases extends beyond their individual properties. When combined, they undergo neutralization reactions to form salts and water. This principle is fundamental in various applications, from controlling soil pH in agriculture to developing antacid medications for stomach relief.

NAMING BINARY COMPOUNDS
(COVALENT) Prefixes
Name the following compounds using the prefix method.
carbon monoxide
Carbon dioxide
Sulfur diox

View

Solutions and Solubility Principles

Understanding how solutions form requires knowledge of solvents, solutes, and their interactions. Solutions can exist in various states of matter, with each combination having unique properties and applications.

The rate of dissolution depends on several key factors. For solids dissolving in liquids, increased temperature and surface area accelerate the process, while stirring helps distribute the solute more effectively. Conversely, gases typically dissolve better in cooler liquids under higher pressure.

Highlight: Temperature affects solid and gas solubility differently - higher temperatures increase solid solubility but decrease gas solubility in liquids.

Solution types vary based on the physical states of both solvent and solute. Common examples include:

  • Gas in liquid (carbonated beverages)
  • Solid in liquid (salt water)
  • Liquid in liquid (alcohol in water)
  • Solid in solid (metal alloys)
NAMING BINARY COMPOUNDS
(COVALENT) Prefixes
Name the following compounds using the prefix method.
carbon monoxide
Carbon dioxide
Sulfur diox

View

Solubility Curves and Concentration Analysis

Solubility curves graphically represent how temperature affects the amount of solute that can dissolve in a solvent. These curves are essential tools for understanding solution behavior and predicting saturation points.

Different compounds show varying solubility patterns with temperature changes. For example, sodium nitrate (NaNO₃) shows a dramatic increase in solubility as temperature rises, while potassium chloride (KCl) demonstrates a more moderate increase.

Vocabulary: Saturation - the point at which no more solute can dissolve in a solvent at a given temperature.

Understanding solubility curves helps in:

  • Determining optimal crystallization conditions
  • Controlling industrial separation processes
  • Predicting solution behavior at different temperatures
  • Calculating maximum dissolved solute concentrations
NAMING BINARY COMPOUNDS
(COVALENT) Prefixes
Name the following compounds using the prefix method.
carbon monoxide
Carbon dioxide
Sulfur diox

View

Chemical Reactions and Conservation of Mass

Chemical reactions involve the transformation of reactants into products while maintaining the conservation of mass principle. This fundamental law states that the total mass of substances before and after a reaction remains constant.

Different types of reactions follow specific patterns:

  • Synthesis reactions combine elements to form compounds
  • Decomposition reactions break compounds into simpler substances
  • Single displacement reactions involve one element replacing another
  • Double displacement reactions involve exchanges between compounds

Example: In the reaction Zn(s) + S(s) → ZnS(s), the combined mass of zinc and sulfur equals the mass of zinc sulfide produced.

Understanding reaction types helps predict products, balance equations, and calculate quantities in chemical processes. This knowledge is essential for industrial applications, environmental chemistry, and laboratory procedures.

NAMING BINARY COMPOUNDS
(COVALENT) Prefixes
Name the following compounds using the prefix method.
carbon monoxide
Carbon dioxide
Sulfur diox

View

Understanding Chemical Reaction Types and Classifications

Chemical reactions form the foundation of how matter transforms in our world. These transformations follow specific patterns that we can categorize into distinct types based on how atoms rearrange themselves.

Definition: A chemical reaction is a process where substances (reactants) transform into different substances (products) through the breaking and forming of chemical bonds.

The five main types of chemical reactions include synthesis, decomposition, single displacement, double displacement, and combustion reactions. Each type has unique characteristics that help us identify and predict reaction outcomes.

Synthesis reactions occur when two or more simple substances combine to form a more complex compound. For example, when magnesium metal reacts with oxygen gas, they form magnesium oxide (2Mg + O₂ → 2MgO). These reactions always follow the pattern A + B → AB.

Example: In the synthesis reaction 2Mg(s) + O₂(g) → 2MgO(s), two elements combine to form a single compound. This demonstrates how simpler substances join to create more complex ones.

Decomposition reactions are essentially the opposite of synthesis reactions. In these reactions, a single compound breaks down into two or more simpler substances. The pattern follows AB → A + B. For instance, when calcium carbonate (limestone) decomposes, it forms calcium oxide and carbon dioxide.

NAMING BINARY COMPOUNDS
(COVALENT) Prefixes
Name the following compounds using the prefix method.
carbon monoxide
Carbon dioxide
Sulfur diox

View

Advanced Concepts in Chemical Reaction Patterns

Double displacement reactions involve the exchange of ions between two compounds, typically in aqueous solutions. These reactions often result in the formation of a precipitate, water, or gas. The general pattern follows AB + CD → AD + CB.

Highlight: Single displacement reactions involve one element replacing another element in a compound. The pattern follows A + BC → AC + B, where the more reactive element displaces the less reactive one.

Combustion reactions are special types of synthesis reactions that involve a substance combining with oxygen, producing heat and light. These reactions are particularly important in everyday life, from burning fuel in vehicles to cellular respiration in living organisms.

Vocabulary: Precipitate - A solid substance that forms and separates from a solution during a chemical reaction.

Understanding these reaction types helps predict chemical behavior and product formation. For example, when silver nitrate solution is mixed with potassium iodide solution, a double displacement reaction occurs, forming silver iodide precipitate and potassium nitrate solution (AgNO₃ + KI → AgI + KNO₃). This predictability makes chemical reactions essential tools in industrial processes, laboratory research, and everyday applications.

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Easy Guide to Naming Binary Covalent Compounds and Group Elements in Chemistry

user profile picture

Sara Proctor

@araroctor_ipvn

·

1 Follower

Follow

The periodic table organizes elements based on their properties and behaviors, helping us understand how different elements interact and form compounds. This systematic arrangement makes it easier to predict chemical reactions and understand atomic structure.

When studying Properties and uses of group elements in the periodic table, it's important to understand that elements in the same group share similar characteristics. For example, Group 1 elements (alkali metals) are highly reactive and form ionic compounds with halogens. Group 18 elements (noble gases) are mostly unreactive due to their stable electron configurations. The transition metals, found in the middle of the periodic table, often form colorful compounds and have multiple oxidation states. Understanding these group properties helps predict how elements will behave in chemical reactions and what types of compounds they can form.

Naming binary covalent compounds using prefixes follows specific rules that help identify the number of atoms of each element in the compound. The prefixes (mono-, di-, tri-, tetra-, penta-, hexa-, hepta-, octa-, nona-, and deca-) indicate how many atoms of each element are present. For example, in carbon dioxide (CO2), the prefix "di-" tells us there are two oxygen atoms. This naming system is crucial for clear communication in chemistry and ensures that scientists worldwide can understand the composition of compounds. When writing chemical formulas, it's essential to place the less electronegative element first, followed by the more electronegative element. This standardized approach to naming compounds helps students and scientists accurately describe and work with different chemical substances. The systematic nature of chemical nomenclature reflects the organized way we study and understand matter at the atomic level.

9/8/2023

41

 

9th

 

Physics

6

NAMING BINARY COMPOUNDS
(COVALENT) Prefixes
Name the following compounds using the prefix method.
carbon monoxide
Carbon dioxide
Sulfur diox

Understanding Binary Covalent Compound Nomenclature

Naming binary covalent compounds using prefixes follows specific rules that help chemists communicate clearly about molecular structures. When two nonmetals combine to form a compound, we use numerical prefixes to indicate how many atoms of each element are present in the molecule.

Definition: Binary covalent compounds are molecules formed between two different nonmetal elements that share electrons to create chemical bonds.

The prefix system uses specific terms to denote quantity: mono- (1), di- (2), tri- (3), tetra- (4), penta- (5), hexa- (6), hepta- (7), octa- (8), nona- (9), and deca- (10). When naming these compounds, the first element keeps its full name while the second element gets an -ide ending. The prefix mono- is typically omitted for the first element.

Example:

  • CO₂ = carbon dioxide (one carbon, two oxygen)
  • N₂O = dinitrogen monoxide (two nitrogen, one oxygen)
  • SO₃ = sulfur trioxide (one sulfur, three oxygen)
  • CCl₄ = carbon tetrachloride (one carbon, four chlorine)
NAMING BINARY COMPOUNDS
(COVALENT) Prefixes
Name the following compounds using the prefix method.
carbon monoxide
Carbon dioxide
Sulfur diox

Properties and Uses of Periodic Table Groups 1-13

Properties and uses of group elements in the periodic table showcase distinct patterns that make them valuable for various applications. The alkali metals (Group 1) and alkaline earth metals (Group 2) demonstrate high reactivity and specific industrial uses.

Highlight: Alkali metals share characteristics like being soft, silvery-white, and highly reactive with water. They all have one valence electron, making them excellent conductors.

Transition elements (Groups 3-12) exhibit diverse properties including variable oxidation states, colored compounds, and catalytic activity. Many transition metals like iron, copper, and titanium are crucial in construction and manufacturing. The Boron Group (Group 13) contains both metals and metalloids, with aluminum being particularly important in everyday applications.

Vocabulary: Malleable (can be hammered into sheets), Ductile (can be drawn into wires), Valence electrons (outer shell electrons involved in bonding)

NAMING BINARY COMPOUNDS
(COVALENT) Prefixes
Name the following compounds using the prefix method.
carbon monoxide
Carbon dioxide
Sulfur diox

Understanding Groups 14-18 of the Periodic Table

The Carbon Group (Group 14) through Noble Gases (Group 18) display fascinating trends in properties and applications. Carbon-group elements show varying characteristics from nonmetals to metals, while the Nitrogen Group (Group 15) elements are essential for life processes.

Example: The Oxygen Group (Group 16) includes vital elements like oxygen and sulfur, which form crucial compounds in both living organisms and industrial processes.

The Halogens (Group 17) are highly reactive nonmetals that form diatomic molecules and are widely used in water treatment and medical applications. Noble Gases (Group 18) stand out for their stability and inertness, making them valuable for specialized applications like lighting and medical imaging.

Definition: Diatomic molecules are molecules composed of two atoms of the same element, such as F₂, Cl₂, and I₂.

NAMING BINARY COMPOUNDS
(COVALENT) Prefixes
Name the following compounds using the prefix method.
carbon monoxide
Carbon dioxide
Sulfur diox

Understanding Acceleration in Physics

Acceleration represents the rate of change in velocity over time, a fundamental concept in physics that describes how objects speed up, slow down, or change direction. This quantity is typically measured in meters per second squared (m/s²).

Definition: Acceleration is the change in velocity divided by the time taken for that change to occur.

Understanding positive and negative acceleration helps explain real-world motion. Positive acceleration occurs when an object speeds up in its original direction, while negative acceleration (deceleration) happens when an object slows down. This concept can be visualized through velocity-time graphs, where the slope indicates the acceleration.

Example: If an inline skater increases speed from 3 m/s to 9 m/s in 3 seconds, their acceleration would be: a = (9 m/s - 3 m/s) ÷ 3 s = 2 m/s²

NAMING BINARY COMPOUNDS
(COVALENT) Prefixes
Name the following compounds using the prefix method.
carbon monoxide
Carbon dioxide
Sulfur diox

Understanding Acids, Bases and Chemical Solutions

The fundamental properties of acids and bases play a crucial role in chemistry and everyday life. These substances exhibit distinct characteristics that help us identify and understand their behavior in various chemical reactions.

Acids demonstrate several unique properties that set them apart from bases. They produce hydrogen ions in solution, have a characteristically sour taste, and are often found in common substances like citrus fruits and vinegar. In practical applications, acids are essential components in industrial processes and are present in biological systems - for example, hydrochloric acid in our stomach aids digestion.

Definition: Acids are substances that produce hydrogen ions (H+) in aqueous solutions and have a pH less than 7.

Bases, in contrast, have their own distinctive traits. They produce hydroxide ions in solution, feel slippery to the touch, and have a bitter taste. Common examples include household ammonia and soap. Bases are crucial in manufacturing processes and cleaning products due to their ability to neutralize acids and break down organic materials.

Example: Sodium hydroxide (NaOH) is a common base used in soap making and drain cleaners.

The relationship between acids and bases extends beyond their individual properties. When combined, they undergo neutralization reactions to form salts and water. This principle is fundamental in various applications, from controlling soil pH in agriculture to developing antacid medications for stomach relief.

NAMING BINARY COMPOUNDS
(COVALENT) Prefixes
Name the following compounds using the prefix method.
carbon monoxide
Carbon dioxide
Sulfur diox

Solutions and Solubility Principles

Understanding how solutions form requires knowledge of solvents, solutes, and their interactions. Solutions can exist in various states of matter, with each combination having unique properties and applications.

The rate of dissolution depends on several key factors. For solids dissolving in liquids, increased temperature and surface area accelerate the process, while stirring helps distribute the solute more effectively. Conversely, gases typically dissolve better in cooler liquids under higher pressure.

Highlight: Temperature affects solid and gas solubility differently - higher temperatures increase solid solubility but decrease gas solubility in liquids.

Solution types vary based on the physical states of both solvent and solute. Common examples include:

  • Gas in liquid (carbonated beverages)
  • Solid in liquid (salt water)
  • Liquid in liquid (alcohol in water)
  • Solid in solid (metal alloys)
NAMING BINARY COMPOUNDS
(COVALENT) Prefixes
Name the following compounds using the prefix method.
carbon monoxide
Carbon dioxide
Sulfur diox

Solubility Curves and Concentration Analysis

Solubility curves graphically represent how temperature affects the amount of solute that can dissolve in a solvent. These curves are essential tools for understanding solution behavior and predicting saturation points.

Different compounds show varying solubility patterns with temperature changes. For example, sodium nitrate (NaNO₃) shows a dramatic increase in solubility as temperature rises, while potassium chloride (KCl) demonstrates a more moderate increase.

Vocabulary: Saturation - the point at which no more solute can dissolve in a solvent at a given temperature.

Understanding solubility curves helps in:

  • Determining optimal crystallization conditions
  • Controlling industrial separation processes
  • Predicting solution behavior at different temperatures
  • Calculating maximum dissolved solute concentrations
NAMING BINARY COMPOUNDS
(COVALENT) Prefixes
Name the following compounds using the prefix method.
carbon monoxide
Carbon dioxide
Sulfur diox

Chemical Reactions and Conservation of Mass

Chemical reactions involve the transformation of reactants into products while maintaining the conservation of mass principle. This fundamental law states that the total mass of substances before and after a reaction remains constant.

Different types of reactions follow specific patterns:

  • Synthesis reactions combine elements to form compounds
  • Decomposition reactions break compounds into simpler substances
  • Single displacement reactions involve one element replacing another
  • Double displacement reactions involve exchanges between compounds

Example: In the reaction Zn(s) + S(s) → ZnS(s), the combined mass of zinc and sulfur equals the mass of zinc sulfide produced.

Understanding reaction types helps predict products, balance equations, and calculate quantities in chemical processes. This knowledge is essential for industrial applications, environmental chemistry, and laboratory procedures.

NAMING BINARY COMPOUNDS
(COVALENT) Prefixes
Name the following compounds using the prefix method.
carbon monoxide
Carbon dioxide
Sulfur diox

Understanding Chemical Reaction Types and Classifications

Chemical reactions form the foundation of how matter transforms in our world. These transformations follow specific patterns that we can categorize into distinct types based on how atoms rearrange themselves.

Definition: A chemical reaction is a process where substances (reactants) transform into different substances (products) through the breaking and forming of chemical bonds.

The five main types of chemical reactions include synthesis, decomposition, single displacement, double displacement, and combustion reactions. Each type has unique characteristics that help us identify and predict reaction outcomes.

Synthesis reactions occur when two or more simple substances combine to form a more complex compound. For example, when magnesium metal reacts with oxygen gas, they form magnesium oxide (2Mg + O₂ → 2MgO). These reactions always follow the pattern A + B → AB.

Example: In the synthesis reaction 2Mg(s) + O₂(g) → 2MgO(s), two elements combine to form a single compound. This demonstrates how simpler substances join to create more complex ones.

Decomposition reactions are essentially the opposite of synthesis reactions. In these reactions, a single compound breaks down into two or more simpler substances. The pattern follows AB → A + B. For instance, when calcium carbonate (limestone) decomposes, it forms calcium oxide and carbon dioxide.

NAMING BINARY COMPOUNDS
(COVALENT) Prefixes
Name the following compounds using the prefix method.
carbon monoxide
Carbon dioxide
Sulfur diox

Advanced Concepts in Chemical Reaction Patterns

Double displacement reactions involve the exchange of ions between two compounds, typically in aqueous solutions. These reactions often result in the formation of a precipitate, water, or gas. The general pattern follows AB + CD → AD + CB.

Highlight: Single displacement reactions involve one element replacing another element in a compound. The pattern follows A + BC → AC + B, where the more reactive element displaces the less reactive one.

Combustion reactions are special types of synthesis reactions that involve a substance combining with oxygen, producing heat and light. These reactions are particularly important in everyday life, from burning fuel in vehicles to cellular respiration in living organisms.

Vocabulary: Precipitate - A solid substance that forms and separates from a solution during a chemical reaction.

Understanding these reaction types helps predict chemical behavior and product formation. For example, when silver nitrate solution is mixed with potassium iodide solution, a double displacement reaction occurs, forming silver iodide precipitate and potassium nitrate solution (AgNO₃ + KI → AgI + KNO₃). This predictability makes chemical reactions essential tools in industrial processes, laboratory research, and everyday applications.

Can't find what you're looking for? Explore other subjects.

Knowunity is the # 1 ranked education app in five European countries

Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.

Ranked #1 Education App

Download in

Google Play

Download in

App Store

Knowunity is the # 1 ranked education app in five European countries

4.9+

Average App Rating

15 M

Students use Knowunity

#1

In Education App Charts in 12 Countries

950 K+

Students uploaded study notes

Still not sure? Look at what your fellow peers are saying...

iOS User

I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D

Stefan S, iOS User

The application is very simple and well designed. So far I have found what I was looking for :D

SuSSan, iOS User

Love this App ❤️, I use it basically all the time whenever I'm studying