When heated to \(700-800^{\circ} \mathrm{C}\), diamonds, which are pure carbon, are oxidized by atmospheric oxygen. (They bum!) Write the balanced equation for this reaction.

Short Answer

Expert verified
The balanced equation for the oxidation of diamonds at high temperature is: C + O2 -> CO2.

Step by step solution

01

Write the Unbalanced Reaction

First, write down the unbalanced chemical reaction. Diamonds are made of pure carbon, so the reactant is carbon (C). The other reactant is atmospheric oxygen, which is O2. When carbon is burned, it forms carbon dioxide (CO2). The unbalanced reaction is: C + O2 -> CO2.
02

Balance the Carbon Atoms

The carbon atoms should be balanced first. There is one carbon atom on both sides of the equation, so the carbon atoms are already balanced.
03

Balance the Oxygen Atoms

Next, balance the oxygen atoms. There are two oxygen atoms in O2 and two in CO2, which means the oxygen atoms are also balanced. Since each molecule of CO2 requires a molecule of O2 to form and there is one atom of carbon on both sides, no further balancing is needed.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Chemical Reactions
In our everyday life, we observe many changes in substances around us, from the rusting of iron to the baking of bread. These changes result from chemical reactions, where substances, known as reactants, transform into new substances called products. A chemical reaction involves the breaking and forming of chemical bonds, which results in a change in the composition and properties of matter.

For instance, when diamonds, composed purely of carbon atoms, are heated at high temperatures in the presence of oxygen, they undergo a combustion reaction. Each carbon atom in the diamond binds with oxygen molecules from the air, resulting in the formation of carbon dioxide. The process is an example of an oxidation reaction—one particular type of chemical reaction where a substance combines with oxygen.
Oxidation of Carbon
Oxidation is a process that involves the loss of electrons during a reaction by a molecule, atom, or ion. In terms of organic chemistry, it often refers to the process of a substance combining with oxygen. When carbon oxidizes, it reacts with oxygen to form carbon dioxide (CO2), which is what happens when diamonds are burnt.

The oxidation of carbon is a highly exothermic reaction, meaning it releases a significant amount of energy in the form of heat and light. This energy release is characteristic of combustion reactions, a type of oxidation, where carbon-based materials burn in an excess of oxygen.
Stoichiometry
Stoichiometry is the branch of chemistry that deals with the quantitative aspect of chemical reactions. It involves calculations to determine the amount of reactants required or the amount of products formed in a chemical reaction. Stoichiometry is grounded in the law of conservation of mass and uses the mole concept as its foundation to balance chemical equations.

In the balanced equation of the oxidation of carbon, stoichiometry tells us that one mole of carbon reacts with one mole of oxygen (O2) to form one mole of carbon dioxide (CO2). The molar ratios provide crucial insights into the reaction and are essential for ensuring that all atoms present in the reactants appear in the products.
Law of Conservation of Mass
The law of conservation of mass is a critical scientific principle that states that mass is neither created nor destroyed in a chemical reaction. Instead, the mass of the reactants is equal to the mass of the products. This law is fundamental in the balancing of chemical equations, as it ensures that the amount of each element is the same on both sides of the reaction.

In the given exercise, this law helps us to confirm that the equation C + O2 -> CO2 is balanced. It shows that one carbon atom is present on both sides, and the two oxygen atoms initially present in the reactant O2 are also accounted for in the product CO2. Thus, the mass is conserved, and the equation correctly represents the chemical reaction.

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Most popular questions from this chapter

Write a balanced molecular equation describing each of the following chemical reactions. (a) Solid calcium carbonate is heated and decomposes to solid calcium oxide and carbon dioxide gas. (b) Gaseous butane, \(\mathrm{C}_{4} \mathrm{H}_{10}\), reacts with diatomic oxygen gas to yield gaseous carbon dioxide and water vapor. (c) Aqueous solutions of magnesium chloride and sodium hydroxide react to produce solid magnesium hydroxide and aqueous sodium chloride. (d) Water vapor reacts with sodium metal to produce solid sodium hydroxide and hydrogen gas.

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A student isolated 25 g of a compound following a procedure that would theoretically yield 81 g. What was his percent yield?

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