. Nature of matter
. Properties of matter & their measurement
. Laws of chemical combinations
. Dalton's atomic theory
. Atomic and molecular masses
. Concentration in solutions 
Chemistry deals with the composition,  structure       and properties of matter. These aspects can be best  described and       understood in terms of basic constituents of matter,  that's why chemistry       is called the science of atoms and  molecules. Chemistry plays a central       role in science and is often  intertwined with other braches of science       like physics, biology,  geology etc. Nature of matter
Matter is anything which has mass and occupies  space  e.g., solid, liquid and gaseous states are three different  states of matter.
Solid have definite  volume  and definite shape. In solids, particles are held very close to each   other in an orderly fashion.
In liquids,  the particles  are closed to each other but they can move around. Its have  definite  volume but not definite shape. They take the shape of container in   which they are placed.
In gases,  particles are far  apart as compared to those present in solids and liquids  state and  their movement is easy and fast. Gases have neither definite volume  nor  definite shape. They completely occupy the container in which they are   placed.These three states of matter are interconvertible by changing the conditions of temperature and pressure
  
Homogeneous mixture is a mixture which has the        same composition through out. The components are  indistinguishable, e.g.       sugar solution.
Heterogeneous mixture has distinguishable        components, it does not have same composition throughout, e.g. mixture  of       salt and sugar.
Pure substances are either elements or  compounds.       Elements consist of only one kind of atoms and can not  be decomposed in to       simple substances.
When two or more atom of different elements        combine, the molecule of a compound is obtained. 
The molecules of water and carbon dioxide are        represented as -
 Fig - 1
A depiction of molecules of water and carbon dioxide
The international system of units (SI) has  seven       units i.e. mass (kg), length (m), time (s), temperature (k),  electric       current (A), luminous intensity (cd), amount of  substance (mol). The units       for various physical quantities are  derived using the base SI units. These       units are called derived  units.
A mole is the amount of substance that  contains       as many entities (atoms, molecules or other particles) as  there are atoms       in exactly (12g) of the C -12 isotope. The mole  of a substance always       contains the same number of entities, no  matter what the substance may be.       A mole has 6.022 x 1023 entities  (atoms, molecules, or ions       etc.)Note:
The number of entities in 1 mol is given the separate name and symbol, known as Avogadro number. NA
NA = 6.022 x 1023 mol-1
Laws of chemical combination
The combination of elements to form compounds  is       governed by the following five basic laws -
Law of conservation of mass (Lavoisier) states  that  ''matter can neither be created nor destroyed in a chemical  reaction.
Law of definite proportion (J. Proust) states  that ''a  given compound always contains exactly the same proportion of  elements by  weight.''
Law of multiple proportion (Dalton) states  that ''for a fixed mass of an  element, the masses of other elements in  two or more compounds are in the ratio  of small integers.
Gay - Lussac's law of gaseous volumes states  that when gases combine or are  produced in a chemical reaction they do  so in a simple ratio by volume provided  all gases are at same  temperature and pressure.
Avogadro's law states that the volume of a gas  (at  fixed temperature and pressure) is proportional to the number of  moles (or  molecules of gas present).V
 n
 One  mole of any gas at STP (273k and 1atm)  occupies22.4l volume.Dalton's atomic theory of matter-
Matter consists of indivisible atoms.
Atoms of the  given element are identical in  size, shape and mass, however atoms of different  element have different  masses, shape and different chemical properties.
The combination of different atoms in the  small whole  number ratio gives compounds.
Chemical reactions involve only combination,   separation and rearrangement of atom.
Chemical reactions involve reorganization of  atoms.  These are neither created nor destroyed in a chemical reaction.Atomic masses and molecular masses
The atomic mass or the mass of an atom is        actually very - very small because atoms are extremely small. The  relative       atomic masses are referred to as the atomic weight and  C-12 isotope is       used as standard to measure the relative atomic  masses. One atomic mass       unit (1 amu) is the unit equal to exactly  one twelfth the mass of C-12       atom.
The particular element may consist of several        isotopes with different atomic masses. The atomic mass depends  upon the       isotopic composition of that particular element. Suppose  an element A       consists of x% of first isotope of A and y% of second  isotope of A, then       the atomic mass of A will be -
Molecular mass is the sum of atomic masses of  all  atoms in a formula unit of a compound.  E.g. formula mass of NaCl =  23+ 35.5 = 58.8 amu
Empirical formula of a compound is a chemical  formula  showing the simplest whole number ratio of various atoms  present in a compound  whereas the molecular formula shows the exact  number of different types of  atoms present in a molecule of a compound.
If the mass percent of various elements  present in a  compound is known, its empirical formula can be  determined. Molecular formula can further be obtained if  the molar mass  is known.
 The molecular formula conveys two  important  information
The relative number of each type of atoms in a   molecule.
The total number of atoms of each elements in  the molecule.
The reactant which is consumed completely when  a  reaction goes to completion is called the limiting reactant  or limiting reagent. The  reactant  which is not completely consumed is referred to as the excess reactant   or reagent.Concentration in solutions -
The concentration of a solution or the amount  of  substance present in its given volume can be expressed in any of the  following  ways -
Mass percent or weight percent
Mole fraction
Molarity
Molality
Mass percent - It is obtained by using the  following  relation-Mass per cent =

Mole fraction -
The ratio of the number of moles of one moles  of one  component to the total number of moles of all the component  present in the  solution. It is expressed as X e.g. for a binary  solution of two component A and B.XA =

XA + XB = 1
Molarity (M) is defined as the number of moles  of  solute dissolve per litre (dm3) of the solution. M = n/v
n = moles of solute
V = volume of solution
Or

Where x = percentage by mass of solution
d = density of the solution in g/cm3
M (solute) = molar mass of solute
Molality (m) - The number of moles of solute  dissolved  per 1000g (1 kg) of the solvent.m = n/w
Where n = number of moles of solute
W = weight of solvent in kg
Or m= nx1000/ w (in grams)
Molality and molarity are related by the  equation 
Molarity and normality both changes with  change in  temperature but molality is independent of temperature.Stoichiometry
The elemental analysis in accordance with chemical equations is known as Stoichiometry and can be classified into two parts:
1. Volumetric Analysis
2. Gravimetric Analysis
1. Volumetric Analysis: as the name suggest it is the volume based analyiisis of elements.
Equivalent Weight:  It is the  weight of a substance  which accepts or donates one mole of  electrons.Equivalent weight =

Calculation of 'n' Factor for Different Class of Compounds
1. Acids: n = basicity
H3PO4 n = 3
H3PO3 n = 2
H3PO2 n = 1
2. Bases: n = acidity
eg. Ammonia and all amines are monoacidic bases
3. Salt: (Which does not undergo redox reactions)
n factor = Total cationic or anionic charge
4. Oxidizing Agents or Reducing Agents : 'n' factor = change in oxidation number Or number of electron lost or gained from one mole of the compound.
 Note: In a balanced equation n factor ratio of two compounds is reverse of their molar ratio.
Interconversion of Molarity and Normality: Normality = n factor × Molarity Law of Chemical Equivalents: In a chemical reaction the equivalents of all the species (reactants or products) are equal to each other provided none of these compound is in excess.
N1V1 = N2V2 ( when normalities and volumes are given)
= (When weight of one  substance in given) Relation between percentage weight by weight (a), sp. gravity (d) and strength in gm / litre (s)
S = 10 ad
Back Titration:
This is a method in which a substance is taken in excess and some part of it has to react with another substance and the remaining part has to be titrated against standard reagent.
Double Titration: This is a titration of specific compound using different indicators. Let us consider a solid mixture of NaOH, Na2CO3 and inert impurities.
When the solution containing NaOH and Na2CO3 is titrated using phenolphalein indicator following reaction takes place at the phenolphthalein end point -
NaOH + HCl
 NaCl + H2O Na2CO3 + HCl
 NaHCO3 + H2O Here, eq. of NaOH + 1/2 eq. of = eq. of HCl
When methyl orange is used, Na2CO3 is converted into NaCl + CO2 + H2O.
Hence, eq. of NaOH + eq. of
 = eq. of HClAbove titration can be carried out using phenolphthalein and methyl orange in continuation as well as separately. Accordingly we apply law of equivalents to calculate percentage composition of the mixture.
Note: Phenolpthlein indicates end point when Na2CO3 is converted into NaHCO3
Volume Strength of H2O2
x volume of H2O2 means x litre of O2 is liberated by 1 volume of H2O2 on decomposition
2H2O2
 2H2O + O2 68 gm 22. 4 lit at STP
x litre of O2 is released from gm of H2O2 =

Gravimetric Analysis: In gravimetric analysis we deal with different types of relations like weight - weight, weight - volume, or volume - volume relationship between reactants or products of the reaction.
