Stoichiometry/Chemical Arithmetic

 

Stoichiometry/Chemical Arithmetic

 

Definition

The branch of chemistry which deals with the quantitative relationship between reactants and products of a chemical reaction as given by a balanced chemical equation is called Stoichiometry (Greek word; stoicheion meaning "element" and metron meaning "measurement”). 

OR

“Stoichiometry is the study of quantitative relationships between the amounts of reactants and products in chemical reactions as given by balanced chemical equations”. It is quantitative chemistry which is concerned with calculations involved in the inter-conversion of matter based on balance chemical equation.

 

Explanation

Stoichiometry tell us that how much amount of product will be formed from specific amount of reactants or for the specific amount of product formation how much amount of reactant will be needed.





Etymology (Meaning of the Word)

The word stoichiometry derives from two Greek words;

stoicheion meaning "element" and

metron meaning "measurement”.

 

Stoichiometry deals with calculations about the masses and volumes of reactants and products involved in a chemical reaction. It is a very mathematical part of chemistry.

 

Stoichiometric Amounts

The amount of reactants and products in balanced chemical equations are called Stoichiometric Amounts.  According to Law of Conservation of Mass, the weight of reactants is equal to weight of products.

 

For Example;

In following equation, 4 g H2, 32 g O2 and 36 g H2O are called Stoichiometric Amount  It is seen that weight of reactants is equal to weight of products which is in accordance with Law of Conservation of Mass.




Stoichiometric Coefficient

The coefficient of each reactants and products in balanced chemical equations is called Stoichiometric coefficient.

Stoichiometric coefficients will be always equal to number of moles.





Limitation of chemical equations

They do not tell about the

1.         Reaction conditions like temperature and pressure

2.         Rate of reaction

3.         Physical state of reactants and products

4.         Mechanism of reaction

5.         Feasibility of reaction  

 

Factors governing balanced chemical equation

1.         Number of atoms of reactants and products.

2.         Masses of reactants and products.

 

Factors Not affecting balanced chemical equation

1.         Number of moles of reactants and products.

2.         Number of molecules of reactants and products.

3.         Volume of reactants and products.

 

Conditions for Stoichiometric Calculations

For stoichiometric calculation, a balanced chemical equation is of great importance. Stoichiometric calculations are based on the following conditions:

 

1. All the reactants must be completely converted into the products.

2.   The side-reactions must not occur.

3. The law of conservation of mass and the law of definite proportions must be obeyed.


Steps for doing stoichiometric problems


Method I

There are four steps in solving a stoichiometry problem:

 

Step I:        A balanced molecular equation is written first.

Step II:       Given and required quantities are underlined.

Step III:      The atomic/molecular masses (moles) or molar volumes of underlined substances are written.

Step IV:     Calculation is done by Unitary or Mole Method.

 

Method II

There are four steps in solving a stoichiometry problem:













Stoichiometric Relationships

The stoichiometric calculations from the balanced chemical equations involve three types of relationships:

 

1.  Mass-Mass Relationship.          

2. Mass-Volume Relationship.   

3. Volume-Volume Relationship.

 

1. Mass – Mass Relationship

Such relationships are helpful in determining unknown mass of a reactant or product from the given mass of reactant or product with the help of balanced chemical equation.

 

If we are given the mole of one substance, we can calculate the mass of the other substance and vice versa.

If we are given the mass of one substance, we can calculate the mass of the other substance and vice-versa.

 

Mass-mass relationships are of following types:

(i)         Mass-mole relationship

(ii)        Mole-mass relationship

(iii)       g-g relationship

(iv)       Mole-mole relationship

 

2. Mass – Volume Relationship

The Mass – Volume relationship calculation are used when either one of the reactant or product is in gaseous state. The mass – volume relationships are useful is determining the unknown volume or mass of reactants or products from a known volume or mass of some substances in a chemical reaction.

 

Mass-volume relationships are of following types:

(i)         Volume-mole relationship

(ii)        Mole-volume relationship

(iii)       g-volume relationship (Mass-Volume relationship)

(iv)       Volume-g relationship (Volume-mass relationship)

 

The following points are used in Mass – Volume Relationship:

(a)  1 mole (1 g/mole) of every gas always occupies 22.4 dm3 (22.4 litre) or 22400 cm3 or 0.0224 m3 at S.T.P.  It means that when mass is taken in grams, the volume is taken in dm3 (lit) or cm3.

 

(b)  1 ounce – mole (ounce molecular mass) of any gas at S.T.P. always occupies 22.4 cubic feet. It means when mass is taken in ounce; volume is measured in cubic feet.

3. Volume – Volume Relationship

Volume-Volume Relationship is used for determination of volumes of gases. The volume-volume relationships are useful in determining unknown volume of reactants or products from a known volume of reactants or products.  It is based on Gay-Lussac’s Law of Combining Volumes which states that:

 

“Gases combine or form in chemical reactions in the ratio of simple whole numbers by volumes provided at same temperature and pressure” OR “Under similar conditions of temperature and pressure, the gases react in simple ratio of their volumes. The ratio of the volumes of gases is same as the ratios of their molecules in a balanced equation”. e.g.:

 

According to Avogadro’s Law, 1 mole of any gas at standard condition of temperature and pressure (S.T.P. 0°C and 1 atm.) always occupies 22.4 dm3.  This is called Molar Volume.

 



1 mole of any gas at S.T.P.  =  22.4  dm3  =  6.02 x 1023 molecules




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