Question Video: Identifying the Formula of a Compound When Given a Balanced Chemical Equation and the Formula Mass | Nagwa Question Video: Identifying the Formula of a Compound When Given a Balanced Chemical Equation and the Formula Mass | Nagwa

Question Video: Identifying the Formula of a Compound When Given a Balanced Chemical Equation and the Formula Mass Chemistry • First Year of Secondary School

The balanced equation for the oxidation of an organic molecule is as follows: 2 CH₃OH + O₂ ⟶ 2 A + 2 H₂O. The total relative formula mass of the products is 96. Identify what compound A is. [C = 12, H = 1, O = 16]

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Video Transcript

The balanced equation for the oxidation of an organic molecule is as follows. Two CH3OH plus O2 reacts to produce two A plus two H2O. The total relative formula mass of the products is 96. Identify what compound A is. The relative atomic mass of carbon is 12, hydrogen is one, and oxygen is 16.

In order to identify compound A, let us remember the law of conservation of matter. It states that atoms cannot be created nor destroyed in a chemical reaction.

In order to help us solve this problem, let us discuss that reactants are to the left of the reaction arrow and products are to the right. The law of conservation of matter means that the atoms on the reactant side will be equal to the atoms on the product side. Now let us apply the law of conservation of matter to this chemical equation to identify compound A.

Let us start by looking at two CH3OH on the reactant side of the chemical equation. The coefficient of two means that there are two molecules of CH3OH. Therefore, there are two carbon atoms, eight hydrogen atoms, and two oxygen atoms in two CH3OH.

In O2, there are two oxygen atoms. Therefore, on the reactant side, there are two carbon atoms, eight hydrogen atoms, and four oxygen atoms. The same number and type of atoms are needed on the product side to abide by the law of conservation of matter.

Now let us take a look at the product side, where there are two H2O molecules. The coefficient of two in front of H2O means that there are two water molecules. Therefore, four hydrogen atoms and two oxygen atoms are accounted for.

When these atoms from the product side are removed from the atoms on the reactant side, the number of atoms of the compound two A is known. Therefore, we know that in two molecules of A, there are two carbon atoms, four hydrogen atoms, and two oxygen atoms. Since there are two molecules of A in two A, the atoms from two A need to be divided in half to determine the atoms in one individual molecule of A. Therefore, there is one carbon atom, two hydrogen atoms, and one oxygen atom in compound A. And the formula for compound A is CH2O.

This solution can be checked using relative formula mass, which is the sum of the number of each type of atom multiplied by the atom’s relative atomic mass. Relative formula mass is noted as 𝑀 r.

Let us go back to the question, which tells us that the relative formula mass for the products is 96. To help us solve this problem, we can set up an equation, where 96 is equal to the sum of the relative formula masses for two A and two H2O. Now let us calculate the relative formula mass for H2O and substitute it into our equation.

To help us with this task, we will use the relative atomic masses or 𝐴 r for each element that are given to us in this problem. The relative formula mass for H2O is the sum of the number of each type of atom multiplied by the atom’s relative atomic mass, 𝐴 r. So, for water, we will multiply two hydrogen atoms by its relative atomic mass of one and one oxygen atom by its relative atomic mass of 16. When we add the relative atomic mass of hydrogen atoms, which is two, and the relative atomic mass of the oxygen atom, which is 16, the relative formula mass for water is 18.

Now we can substitute the relative formula mass of water into our equation. Now we can calculate the relative formula mass for CH2O. So, for the relative formula mass of CH2O, we will multiply one carbon atom by its relative atomic mass of 12, two hydrogen atoms by its relative atomic mass of one, and one oxygen atom by its relative atomic mass of 16. When we add the relative atomic masses of carbon, which is 12; hydrogen atoms, which is two; and the oxygen atom, which is 16, the relative formula mass for CH2O is 30.

Now we can substitute the relative formula mass for CH2O into the equation. When adding the two relative formula masses together of the two products, the sum is 96. Therefore, compound A is CH2O.

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