Demonstrate a knowledge of balanced chemical equations

 

A chemical equation describes what happens in a chemical reaction. The equation identifies the reactants (starting materials) and products (resulting substance), the formulas of the participants, the phases of the participants (solid, liquid, gas), and the amount of each substance. Balancing a chemical equation refers to establishing the mathematical relationship between the quantity of reactants and products. The quantities are expressed as grams or moles.

 

It takes practice to be able to write balanced equations. There are essentially three steps to the process:

 

1. Write the unbalanced equation.

* Chemical formulas of reactants are listed on the left hand side of the equation.

* Products are listed on the right hand side of the equation.

* Reactants and products are separated by putting an arrow between them to show the direction of the reaction. Reactions at equilibrium will have arrows facing both directions.

 

Note: Hydrogen, Nitrogen, Oxygen, Fluorine, Chlorine, Bromine and Iodine are all diatomic. That is they exist as pairs of atoms rather than as single atoms (ex. H2, N2, O2, F2, Cl2, Br2, I2). Remember this when you write chemical equations.

 

2. Balance the equation.

* Apply the Law of Conservation of Mass to get the same number of atoms of every element on each side of the equation. Tip: Start by balancing an element that appears in only one reactant and product.

* Once one element is balanced, proceed to balance another, and another, until all elements are balanced.

* Balance chemical formulas by placing coefficients in front of them. Do not add subscripts, because this will change the formulas.

 

3. Indicate the states of matter of the reactants and products.

* Use (g) for gaseous substances.  * Use (s) for solids.

* Use (l) for liquids.      * Use (aq) for species in solution in water.

* Write the state of matter immediately following the formula of the substance it describes.

 

Worked Example Problem

 

Tin oxide is heated with hydrogen gas to form tin metal and water vapor. Write the balanced equation that describes this reaction.

 

   1. Write the unbalanced equation.

 

      SnO2 + H2 --> Sn + H2O

 

   2. Balance the equation.

 

      Look at the equation and see which elements are not balanced. In this case, there are two oxygen atoms on the left hand side of the equation and only one on the right hand side. Correct this by putting a coefficient of 2 in front of water:

 

      SnO2 + H2 --> Sn + 2 H2O

 

      This puts the hydrogen atoms out of balance. Now there are two hydrogen atoms on the left and four hydrogen atoms on the right. To get four hydrogen atoms on the right, add a coefficient of 2 for the hydrogen gas. Remember, coefficients are multipliers, so if we write 2 H2O it denotes 2x2=4 hydrogen atoms and 2x1=2 oxygen atoms.

 

      SnO2 + 2 H2 --> Sn + 2 H2O

 

      The equation is now balanced. Be sure to double-check your math! Each side of the equation has 1 atom of Sn, 2 atoms of O, and 4 atoms of H.

 

   3. Indicate the physical states of the reactants and products.

 

      To do this, you need to be familiar with the properties of various compounds or you need to be told what the phases are for the chemicals in the reaction. Oxides are solids, hydrogen forms a diatomic gas, tin is a solid, and the term 'water vapor' indicates that water is in the gas phase:

 

      SnO2(s) + 2 H2(g) --> Sn(s) + 2 H2O(g)

 

      This is the balanced equation for the reaction.

 

Balancing Chemical Equations (said again, in another way)

 

You may remember that the law of conservation of mass says that matter is neither created nor destroyed during a chemical reaction. This means that all chemical reactions must be balanced—the number of atoms, moles, and ultimately the total mass must be conserved during a chemical process. Here are the rules to follow when balancing equations:

 

   1. Determine the correct formulas for all the reactants and products in the reaction.

   2. Begin balancing with the most complicated-looking group. A polyatomic ion that appears unchanged on both sides of the equation can be counted as a single unit.

   3. Save the elemental (single elements) reactant and products for last, especially if it is hydrogen or oxygen. Keep your eye out for diatomic molecules such as oxygen, hydrogen, and the halogens.

   4. If you get stuck, double the most complicated-looking group and try again.

   5. Finally, make sure that all coefficients are in the lowest-possible ratio.

   6. Know when to quit! None of the reactions you will encounter will be that difficult. If the coefficients are getting wild, double-check what you've done since you may have a simple mistake.

 

When balancing reactions, keep your hands off the subscripts! Use only coefficients to balance chemical equations. Now let's try an example. When you solve it yourself, make sure to follow the steps!

 

Example

 

Write the balanced equation for the reaction between chlorine and sodium bromide, which produces bromine and sodium chloride.

 

Explanation

 

First write the chemical formulas—be on the lookout for the diatomic elements (such as Cl2):

 

Cl2 + NaBr -->Br2 + NaCl

 

Next, find the reagent with the scariest subscripts. In this case, start with Cl2. You need a coefficient of 2 in front of NaCl, which then requires a coefficient of 2 in front of NaBr. The balanced equation becomes

 

Cl2 + 2NaBr --> Br2 + 2NaCl

 

Finally, count up everything to make sure you balanced the equation correctly. You have two chlorine atoms, two sodium atoms, and two bromines on the reactants side and two bromines, two sodiums, and two chlorines on the products side. You-->re done.

 

Example

 

Write the balanced equation for the reaction between aluminum sulfate and calcium chloride, which produces aluminum chloride and calcium sulfate.

 

Explanation

 

Write the chemical formulas on their correct sides:

 

Al2(SO4)3 + CaCl2 --> AlCl3 + CaSO4

 

In this reaction, the aluminum sulfate looks the most complicated, so start there. Look at what happens with sulfate—since it remains sulfate on the right side of the reaction, treat it as a unit. You have three on the left side and only one on the right side, so place a coefficient of 3 in front of calcium sulfate. Now deal with the aluminum. You have two on the left and one on the right, so place a coefficient of 2 in front of aluminum chloride. Last, you must place a coefficient of 3 in front of calcium chloride.

 

Al2(SO4)3 + 3CaCl2 --> 2AlCl3 + 3CaSO4

 

Count the atoms on both sides of the reaction and you'll see that you're done.