Lesson Video: Chemical Formula | Nagwa Lesson Video: Chemical Formula | Nagwa

Lesson Video: Chemical Formula Science • First Year of Preparatory School

In this video, we will learn how to use valence to determine the chemical formula of a compound.

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Video Transcript

In this video, we will learn how to write chemical formulas for covalent and ionic compounds and how to determine their names from their formulas. We will use valence values to write the chemical formulas of ionic compounds.

What is a chemical formula? Compounds differ from each other because they contain different elements in different proportions. For example, the compound water has one oxygen atom and two hydrogen atoms, while the compound hydrogen peroxide contains two oxygen atoms and two hydrogen atoms. We can use simple chemical formulas instead of diagrams like this to show which elements are present in a compound and how many atoms of each element there are. A chemical formula is an expression consisting of chemical symbols and numerical subscripts that represents the composition of a molecule or one unit of a compound.

We can write the chemical formula for water by writing the chemical symbol of each element present, H for hydrogen and O for oxygen. Next, we write subscript numbers to indicate how many hydrogen atoms there are and how many oxygen atoms there are. Since there are two hydrogen atoms, we write a subscript of two next to H. And since there is one oxygen atom, we write a subscript of one next to O. We can see from the chemical formula that a water molecule consists of three atoms, specifically two hydrogen atoms and one oxygen atom. Note that we usually leave off a subscript of one. So, if no subscript appears next to the chemical symbol of an element, then the number one is implied. For hydrogen peroxide, the chemical formula is H2O2, since there are two hydrogen atoms and two oxygen atoms.

Now, let’s look at an example of a slightly more complicated chemical formula. Here is a picture of a molecule of the compound ethanol, and here is its chemical formula, C2H6O. We can see that ethanol contains two carbon atoms, six hydrogen atoms overall, although the hydrogen atoms are spread out over the molecule, and an oxygen atom. In total, there are nine atoms and three different elements. Sometimes a chemical formula is written in such a way that it gives us some extra information about the molecule or compound. Ethanol’s chemical formula can also be written as CH3CH2OH. When the chemical formula is written in this way, it gives us information about how the atoms are bonded together.

Some compounds contain sets of multiple atoms. For example, the compound iron carbonate, also called iron(III) carbonate, has the following chemical formula. This compound contains an atomic group. An atomic group is a set of atoms joined together that have a combined valence and behave as one unit during a chemical reaction. This atomic group contains a carbon atom and three oxygen atoms. Together they are called carbonate or the carbonate ion, as together they have an overall charge. Carbonate has an overall charge of negative two.

We can see that in this compound, there is more than one carbonate atomic group. In fact, there are three atomic groups, as the subscript outside the parentheses tells us. When there is more than one atomic group, parentheses must be used. We can determine that this compound has two iron particles.

To determine how many of each type of atom in the atomic groups there are in the compound, we multiply the subscript next to each atom by the subscript outside the parentheses. So, for carbon we say one multiplied by three, which gives three carbon atoms in the compound. And for oxygen we say three multiplied by three, which gives nine oxygen atoms in the compound. So, one unit of iron carbonate contains two atoms of iron, three atoms of carbon, and nine atoms of oxygen. Overall, a unit of this compound has three elements and 14 atoms.

So far, we have learnt how to write and understand chemical formulas. Now let’s learn about naming some simple compounds. We will learn how to name simple covalent compounds and simple ionic compounds. Let’s start with covalent compounds. Covalent compounds are typically composed of nonmetal atoms bonded together. For example, when nitrogen and oxygen bond together, a covalent compound forms, since both nitrogen and oxygen are nonmetals. We can see this covalent compound has one nitrogen atom and two oxygen atoms.

We can determine the name of a covalent compound by first writing the name of the first element in the chemical formula. For this compound, the element that appears first is nitrogen. Next, we write the name of the second element that appears in the chemical formula. The second element in this chemical formula is oxygen. Third, we change the end of the second element’s name to -ide. This gives us nitrogen oxide. Finally, we add a prefix in front of the elements in the name to indicate how many atoms of that element there are.

The table shows the prefixes. Mono- means one, di- means two, tri- means three, and so on. Since there are two oxygen atoms, we write the prefix di- in front of the term oxide. This gives us a name for this compound of nitrogen dioxide. We do not need to use the prefix mono- when there is only one atom of the first element. So, this compound is just called nitrogen dioxide, not mononitrogen dioxide.

Here are some more examples of covalent compound formulas and their names. CO is carbon monoxide. SO3 is sulfur trioxide. Covalent compound names can be easily used to deduce the chemical formula. In other words, we can work backwards from a name to a chemical formula. Here is an example. Sulfur dioxide is the name of a covalent compound. The name tells us that the elements present are sulfur and oxygen. There is no prefix before the word sulfur, so we know there is one sulfur atom in a molecule of sulfur dioxide. And the prefix before the oxide term is di-, so we know that there must be two oxygen atoms in this compound. Therefore, the chemical formula of sulfur dioxide is SO2. Remember, we can leave off the subscript of one.

Now, how do we name ionic compounds? Ionic compounds are typically composed of positively charged metal ions and negatively charged nonmetal ions. Here is an example. This ionic compound has the chemical formula AlCl3. For an ionic compound, we first write the name of the metal in the chemical formula. Aluminum is the metal. Second, we write the name of the second element, the nonmetal. Chlorine is the nonmetal. Finally, we change the end of the second element’s name to -ide. This gives us the name aluminum chloride for this compound. Notice that we do not use prefixes in ionic compound names to indicate how many of each type of ion there are.

Now we know how to write the name of an ionic compound from its formula. We can also do the opposite. We can write the chemical formula of a simple ionic compound from the name if we know the valence or valence numbers of the elements in the compound. Valence is the number of electrons that an atom gains, or loses, or shares when forming a bond during a chemical reaction. This periodic table shows the valence of some elements. Transition elements in the middle of the periodic table can have variable valence values. But we will focus on elements in groups on the left and right sides of the periodic table.

Let’s use this information to determine the chemical formula of calcium oxide. Calcium oxide is composed of calcium and oxygen. We can see that calcium in group two has a valence of two and oxygen in group 16 has a valence of two as well. To write the formula, we first write the symbols of the metal and nonmetal in the ionic compound and the valence of each. Next, we cross over the valence values and write them as the subscripts of the opposite chemical symbol. Lastly, we must simplify the values if they have a common factor. In this example, both subscripts are divisible by two. So, we simplify and write Ca1O1. But subscripts of one need not be shown in chemical formulas, so we can remove these. Therefore, calcium oxide has the chemical formula CaO.

We can also use valence to write the chemical formulas of ionic compounds containing atomic groups. This is done in much the same way as when writing the chemical formula of simple ionic compounds. But we would need to make use of a table such as this to determine the valence value of atomic groups. We can see that the carbonate atomic group, for example, has a valence of two, while the nitrate atomic group has a valence of one.

Now, let’s practice what we have learnt.

What is the chemical formula of the ionic compound magnesium chloride?

A chemical formula is an expression of chemical symbols and numerical subscripts that represents the composition of a molecule or one unit of a compound. For example, water has the chemical formula H2O. We can see from the chemical symbols H and O that the elements present in a molecule of this compound are hydrogen and oxygen. There is also a numerical subscript shown in this chemical formula. Hydrogen has a subscript of two. And since there is no subscript written next to oxygen, a subscript of one is implied. So, the chemical formula for water tells us that one molecule of water consists of two hydrogen atoms and one oxygen atom.

Now, the compound whose chemical formula we are asked to find is magnesium chloride. We are told that magnesium chloride is an ionic compound. To write the chemical formula of an ionic compound from its name, we can follow three simple steps. First, write the symbols of the metal and the nonmetal elements and their valence values. The metal is magnesium, whose chemical symbol is Mg. The nonmetal is chlorine, which we get from the term chloride. Chlorine has the symbol Cl. Now, we need to write their valence values. Valence is the number of electrons that an atom gains, loses, or shares when forming a bond during a chemical reaction.

This diagram shows only the left and right sides of the periodic table. It has the valence values of the elements in groups one and two. It also depicts the valence values of some elements in groups 15 to 17. We can see that magnesium in group two has a valence value of two. Chlorine in group 17 has a valence value of one.

Step two is to cross over the valence values and make them the subscripts of the opposite chemical symbol. When we do this, we get the formula Mg1Cl2. The third step is to simplify the subscripts. In this case, the subscripts cannot be simplified further. Remember, we can leave off any subscripts of one. This leaves us with a chemical formula for magnesium chloride of MgCl2.

Now, let us summarize what we know about writing chemical formulas. We learnt that a chemical formula is an expression of chemical symbols and numerical subscripts that represents the composition of a molecule or one unit of a compound. Subscripts in a chemical formula tell us how many atoms or ions of each element are present. We do not write subscripts of one in chemical formulas. When naming covalent compounds, we use prefixes to indicate the number of each type of atom. When naming ionic compounds, we do not use prefixes. And finally, we cross over valence values to determine the chemical formula for an ionic compound.

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