IIT JEE & NEET Question Bank with Solution: 09/18/21

SOME BASIC CONCEPTS OF CHEMISTRY

FUNDAMENTAL UNITS

The SI system has seven basic units of physical quantities as follows:

Physical Quantity	Abbreviation	Name of unit	Symbol
time	t	second	s
mass	m	kilogram	kg
length	l	metre	m
temperature	T	kelvin	K
electric current	I	ampere	A
light intensity	Iv	candela	Cd
amount of substance	n	mole	Mol

DERIVED UNITS

The units obtained by combination of basic units are known as derived units e.g. velocity is expressed as distance/time. Hence unit is m/s or ms^–1. Some common derived units are:

Physical Quantity	Definition	SI Unit
volume	length cube	m³
area	length square	m²
speed	distance travelled	ms^–1
acceleration	speed changed	ms^–2 per unit time
density	mass per unit volume	kg m^–3
pressure	force per unit area	kgm^–1s^–2 or Nm^–2 (pressure = Pa)
force	mass times acceleration of object	kgms^–2 (Newton N)
energy	force times distance travelled	kgm²s^–2(Joule J)
frequency	cycles per second	s^–1 (hertz = Hz)
power	energy per second	kgm²s^–3 or Js^–1 (Watt = W)
electric charge	ampere times second	As (coloumb = C)
electric potential	energy per unit	JA^–1s^–1 or kgm²s^–3
difference	charge	A^–1 (volt = V)

SOME NON-SI UNITS IN COMMON USE

Quantity	Unit	Symbol	SI definition	SI Name
Length	angstrom	Å	10^–10 m	0.1 nanometers (nm)
Volume	litre	L	10^–3 m3	1 decimeter (dm³)
Energy	calorie	cal	kg m²s^–2	4.184 Joule (J)

STANDARD PREFIXES FOR EXPRESSING THE DECIMAL FRACTIONS OR MULTIPLES OF FUNDAMENTAL UNITS

Fraction	Prefix	Symbol	Multiple	Prefix	Symbol
10^–1	deci	d	10¹	Deka	da
10^–2	centi	c	10²	Hecta	h
10^–3	milli	m	10³	kilo	k
10^–6	micro	m	10⁶	Mega	M
10^–9	nano	n	10⁹	Giga	G
10^–12	pico	p	10¹²	Tera	T
10^–15	femto	f	10¹⁵	Peta	P
10^–18	atto	a	10¹⁸	Exa	E

PRECISION AND ACCURACY

Precision: It is the closest value of various measurements for the same quantity.

Accuracy: It is the agreement of a particular value to the true value.

Example: Let the true weight of a substance be 3.00g. The measurement reported by three students is as follows

Case of A student: It is precision but no accuracy since measurements one close but not accurate.

Case of B student: Measurements are close (precision) and accurate (Accuracy)

Case of C student: Measurement are not close (no precision) and not accurate (no accuracy)

STOICHIOMETRY

Stoichiometry: It is calculation of masses or volumes of reactants and products involved in a chemically balanced reaction. Consider the formation of ammonia.

N₂ (g) + 3H₂ (g) -> 2NH₃(g)

All are gases indicated by letter (g) and coefficients 3 for H₂ and 2 for NH₃ are called stoichiometric coefficients. The formation of ammonia can be interpreted in many ways:

1. One mole of N₂(g) reacts with three moles of H₂(g) to give two moles of NH₃(g).

2. 28g of N₂(g) reacts with 6g at H₂(g) to give 34g of NH₃(g).

3. 22.4L of N₂(g) reacts with 67.2L of H₂(g) to give 44.8L of NH₃(g)

SIGNIFICANT FIGURES

The weight 7.52 gm of a substance indicates that it is reliable to the nearest hundredth of a gram and may be expressed as 7.52 ± 0.01. It means slightest variation may occur at the second place of decimal or we can say that uncertainty is ± 0.01 g.

Now consider the weight 6.4234 g. It may correctly be expressed as 6.4234 ± 0.001 g.

In the first case the weight contains three significant figures and in the second case weight contains five significant figures.

1. Significance of zero: If zero is used to locate the decimal point it is not considered as significant figure. Thus in 0.0072 there are only two significant figures whereas in 70.40, there are four significant figures since zero is after 4. Again in 0.0070 there are two significant figures, since zero after 7 is significant for it has a meaning when written in exponentials. If we compare 7.0 × 10–3 and 7 × 10–3, the first term has uncertainty of one in seventy and second has uncertainty of one in seven. The exponential term does not add to number of significant figures.

1) Addition and subtraction of quantities: In this case the uncertainty in the result is equal to the sum of the uncertainties of the individual quantities.

2) Multiplication and division: In this case the uncertainty in the result is equal to the sum of the percentage of individual uncertainties.

3) Rounding off: The following rules are observed.

a) If the digit after the last digit to be retained is less than 5, the last digit is retained as such. E.g. 1.752 = 1.75 (2 is less than 5).

b) If the digit after the last digit to be retained is more than 5, the digit to be retained is increased by 1. E.g. 1.756 = 1.76 (6 is more than 5).

c) If the digit after the last digit to be retained is equal to 5, the last digit is retained as such if it is even and increased by 1 if odd.

4) Calculations involving addition and subtraction: In case of addition and subtraction the final result should be reported to the same number of decimal places as the number with the minimum number of decimal places.

5) Calculations involving multiplication and division: In this case the final result should be reported having same number of significant digits as that of the number having least significant digits.

MATTER

Anything which occupies space, possesses mass and can be felt is called matter.

CLASSIFICATION OF MATTER

ELEMENT

Pure substance consisting of one type of particles in the form of atoms e.g. Cu, Na, Fe or molecules. e.g. H₂, O₂ etc.

COMPOUND

Pure substance consisting of molecules formed by the combination of atoms of different elements e.g. CO₂, H₂O etc.

MIXTURES

Mixtures are substances made of two or more elements or compounds in any proportion. They may be homogeneous or heterogeneous.

SEPARATION OF MIXTURES

Mixtures can be separated into constituents by following methods:

1. Filtration can separate those mixtures whose one component is soluble in a particular solvent and other is not.

2. Distillation can be used to separate constituents of mixtures having different boiling points.

3. Extraction dissolves one out of several components of mixture.

4. Crystallisation is a process of separating solids having different solubilities in a particular solvent.

5. Sublimation separates volatile solids which sublime on heating from non-volatile solids.

6. Chromatography is the technique of separating constituents of a mixture which utilises the property of difference of adsorption on a particular adsorbent.

7. Gravity separation separates constituents having different densities.

8. Magnetic separation can separate magnetic components from non magnetic ones.

PHYSICAL AND CHEMICAL CHANGES

A change which does not affect chemical composition and molecular structure is a physical change and the one that involves alteration of chemical composition and molecular structure is a chemical change.

1. Chemical Combination is reaction between two or more elements or compounds to form a single substance.

H₂ + I₂ -> 2HI

2. Displacement means replacement of one element of compound by another.

3. Decomposition involves splitting of a compound to form two or more substances.

4. Combustion is a complete and fast oxidation of a substance.

5. Neutralisation is the reaction between acid and base to form a salt.

6. Polymerisation is the combination of molecules of same or different substances to form a single molecule called polymer

7. Photochemical changes occur in presence of visible or ultraviolet light.

8. Double decomposition or metathesis is the exchange of oppositely charged ion on mixing two salt solutions.

9. Hydrolysis involves reaction of salts with water to form acidic or basic solutions.

LAWS OF CHEMICAL COMBINATIONS

1. Law of conservation of mass: This law was given by French chemist A. Lavoisier (1774) which states that "during any physical or chemical change, the total mass of products is equal to the total mass of reactants". It is also called law of indistinctibility. It does not hold good for nuclear reaction.

2. Law of definite proportions: This law was given by Proust (1799) and states that "a chemical compound always contains some elements combined together in same proportion by mass". For example different samples of pure CO2 always have carbon and oxygen in 3:8 ratios by mass.

3. Law of multiple proportions : This law was given by John Dalton (1803) and states that "when two elements combine to form two or more compounds, the different mass of one of the elements and the fixed mass of the one with which it combines always form a whole number ratio". This law explains the concept of formation of more than one compound by two elements.

4. Law of reciprocal proportions: This was given by Richter (1792) and states that "when two elements combine separately with a fixed mass of third, the ratio of masses in which they do so is same or whole number multiple of the ratio in which they combine with each other." This law is also called law of equivalent proportions and is helpful in determining equivalent weights.

5. Gay Lussac's law of combining volumes: This law states that when gases react with each other, their volumes bear a simple whole no. ratio to one another and to volume of products (if gases) and similar conditions of pressure and temperature.

6. Dalton's atomic theory :

· Proposed by John Dalton in 1808. Main points are:

· Matter is made up, by indivisible particles called atoms

· Atoms of same elements are identical in physical and chemical properties.

· Atoms of different substances are different in every respect

· Atoms always combine in whole numbers to form compounds

· Atoms of resultant compounds possess similar properties

Drawbacks of Dalton's theory :

· Does not explain structure of atom.

· Fails to explain binding forces between atoms in compounds.

· Does not explain Gay Lussac's law.

· Does not differentiate between atom and molecule.

7. Avogadro's law :

It states that "equal volumes of all gases, under similar conditions of temperature and pressure contain equal number of molecules". Applications are:

· Deducing atomicity of elementary gases

· Deriving relationship between molecular mass and vapour density

· Deriving formula of substances

· Determining molecular wt. of a gas

· Deducing the gram molecular volume.

ATOM

Atom is the smallest particle of element which might not be able to exist independently.

MOLECULE

Molecule is the smallest particle of the substance which can exist independently. It can be subdivided as

1. Homoatomic molecules are molecules of same element and can be further divided as monatomic, diatomic and polyatomic molecules depending upon number of atoms. E.g: He, O₂, P₄etc.

2. Heteroatomic molecules are molecules of compound. They can be diatomic and polyatomic. eg: H₂O, PCl₅, H₂SO₄, NO etc.

ATOMIC MASS UNIT (A.M.U.)

It is the unit of representing atomic masses. 1 a.m.u. = 1/12^th the mass of C^-12.

MOLE

It is a unit which represents 6.023 × 1023 particles. The number 6.023 × 10²³ is called Avogadro's number and is represented by N₀ or N_A. Avogadro's number of gas molecules occupy a volume of 22400 cm³ at N.T.P. Number of molecules in 1 cm³ of gas at NTP is N₀. With value 2.688 × 10¹⁹.

ATOMIC MASS

"It is the number of times the atom of the element is heavier than H atom" was the first proposed definition. Later on oxygen was preferred as standard. In 1961 C-12 was chosen as standard and thus "the number of times the atom of an element is heavier than 12th part of C-12 is called atomic mass of the element.

Atomic mass =

AVERAGE ATOMIC MASS

It is the mass of each isotope determined separately and then combined in ratio of their occurrence. Suppose a and b are two isotopes of an element with their occurrence ratio p:q then

Average atomic mass =

DETERMINATION OF ATOMIC MASS

1. Dulong and petit's rule: It is based on experimental facts. "At ordinary temperature, product of atomic mass and specific heat for solid elements is approximately 6.4 and this product is known as atomic heat of the element"

Atomic mass × specific heat = 6.4

The law is valid for solid elements except Be B, Si and C.

Correct At. Mass = Eq. mass × valency

2. Specific heat method: This method is for gases.

where C_p = specific heat at constant pressure and C_v= specific heat at constant volume. the ratio g is a constant = 1.66 for monoatomic, 1.40 for diatomic, 1.33 for triatomic gas and atomic mass of gaseous element

3. Chloride formation method: This method converts the element (whose mass is to be determined) into volatile chloride whose vapour density is found by Victor Mayer method.

Molecular mass = 2 × V.D.

4. Vapour density method is suitable for elements having volatile chlorides.

Atomic mass = Eq. mass of metal × valency.

5. Mitscherlich's law of isomorphism: It states that isomorphous substances have similar chemical constitution. Isomorphous substances form crystals of same shape and valencies of elements forming isomorphous salts are also same. eg: ZnSO₄. 7H₂O, MgSO₄.7H₂O and FeSO₄.7H₂O are isomorphous.

GRAM ATOMIC MASS (GAM)

Is the mass of an atom expressed in Gms.

No. of Gm-atoms of element =

MOLECULAR MASS :

It is the average relative mass of the molecule as compared with mass of C-12 atom.

Molecular mass =

CALCULATION OF MOLECULAR MASS:

1. Graham's law of diffusion: It states that rate of diffusion of two gases is inversely proportional to the square root of ratio of their molecular weights.

2. Victor meyer method : This method can determine the molecular mass as

Molecular mass = (W/V) × 22400

Where, W is the mass of liquid in gm. occupying a volume V ml at STP.

3. Vapour density method: Vapour density is the ratio of volume of a gas to the mass of same volume of hydrogen under identical conditions.

Thus molecular mass = 2 × V.D.

4. Colligative properties method : This method can be helpful in determining molecular mass as

Elevation in boiling point

Where T_b is elevation in b.p., Kb is molal elevation constant w is wt. of solute W is wt. of solvent

Depression in freezing point

GRAM MOLECULAR MASS OR MOLAR MASS

That amount of substance whose mass in grams is equal to its molecular mass or the equivalently molecular mass of a substance expressed in grams is called gram molecular mass. Gram molecular mass is also called one gram molecule. thus

No. of gm molecules =

EQUIVALENT MASS:

It is the number of parts by weight of the substance that combines or displaces, directly or indirectly, 1.008 parts by mass of hydrogen or 8 parts by mass of oxygen or 35.5 parts by mass of chlorine. It can be calculated as,

· Equivalent mass for elements =

· Equivalent mass for acids =

· Equivalent mass for bases =

· Equivalent mass for salts =

· Equivalent mass for oxidising agents =

· Equivalent mass for reducing agents =

· Equivalent weight of radicals =

FORMULA MASS

It is obtained by adding atomic masses of various atoms present in the formula and this term replaces molecular mass in ionic compounds.

ACIDITY

It is the number of OH^– ions that can be displaced from one molecule of a substance.

BASICITY

It is the number of H⁺ ions that can be displaced from one molecule of a substance.

GRAM EQUIVALENT MASS (GEM)

It is the mass of a substance expressed in grams or equivalently the quantity of substance whose mass in grams is equal to its equivalent mass is called one gram equivalent or gram equivalent mass.

No. of gm equivalents =

METHODS OF DETERMINING EQUIVALENT MASSES:

1. Hydrogen displacement method: It is for metals which can displace H₂ from acids.

Equivalent mass of metal

2. Metal displacement method: It utilises the fact that one GEM of a more electropositive metal displaces one GEM of a less electropositive metal from its salt

3. Conversion method : When one compound of a metal is converted to another compound of similar metal then

where E is the eqv. mass of the metal.

4. Electrolytic method :
It states that the quantity of substance that reacts at electrode when Faraday of electricity is passed is equal to its GEM.

GEM = Electrochemical equivalent × 96500

and ratio of weights deposited by equal amount of electricity is in ratio of their equivalent masses.

5. Oxide method :

Equivalent mass of metal =

6. Double decomposition :

7. Neutralisation method for acids and bases :

Equivalent mass of acid (base)

8. Silver salt is method commonly used for organic acids.

Eqv. mass of acid =

Mol. mass of acid = Eqv. mass of acid × Basicity

9. Platinichloride method for bases :

Eqv. mass of base

Mol. mass of base = Eqv. mass of base × Acidity

10. Chloride method :

Eqv. mass of metal =

11. Volatile chloride method :

Valency of metal

CHEMICAL EQUATION:

It is the equation representing chemical change in terms of formula of reactants and products.

1. An equation which has not been equalised in terms of number of atoms of reactants and products is called a skeleton equation.

2. An equation having equal number of atoms of various kinds on both sides is a balanced equation.

EMPIRICAL FORMULA:

It is the simplest formula of a compound giving simplest whole number ratio of atoms present in one molecule. e.g. CH is empirical formula of benzene.