Atoms and Molecules
Atoms and Molecules
00 g of
                                                           oxygen ? Which law of chemical combinations
Two laws were laid by Antoine L. Lavoisier
                                                           will govern your answer ?
3.1.1 Law of conservation of mass                          Sol. 3g of carbon reacts with 8 g of oxygen to
• Matter can neither be created nor destroyed in a         produce 11g of carbon dioxide. If 3g of carbon is
  chemical reaction.                                       burnt in 50g of oxygen, then 3g of carbon will react
                                                           with 8 g of oxygen. The remaining 42 g of oxygen will
• “In a chemical reaction total mass remains
                                                           be left un-reactive. In this case also, only 11g of
  conserved i.e. mass of the products remain
                                                           carbon dioxide will be formed. The above answer is
  equal to the mass of reactants. e.g.
                                                           governed by the law of constant proportions.
   ice → Water (No change in weight)
                                                           DALTON’S ATOMIC THEORY
   C + O2 → CO2
                                                           • Matter consists of extremely small indivisible
  12g + 32g =   44g
                                                             particle called atoms.
Q. In a reaction 5.3 g of sodium carbonate                 • Atom can neither be created nor be destroyed
reacted with 6 g of ethanoic acid. The products              during a chemical reaction.
were 2.2 g of carbon dioxide,0.9g water and 8.2 g
of sodium ethanoate. Show that these                       • All the atoms of a given element have identical
observations are in agreement with the law of                mass and chemical properties.
conservation of mass. Sodium carbonate +                   • Atoms of different elements have different mass &
ethanoic acid → sodium ethanoate + carbon                    chemical properties.
dioxide + water                                            • Atoms combine in the ratio of small whole numbers
Sol. Sodium Carbonate + Ethanoic acid → Sodium               to form compounds.
ethanoate + Carbon dioxide + Water                         • The relative number and kinds of atoms are
Na2CO3 + CH3COOH → CH3COONa +CO2 +H2O                        constant in a given compound
 5.3g        6g              8.2g        2.2 0.9g          • An atom is the smallest particle that takes part in a
Mass of sodium carbonate = 5.3g                              chemical reaction.
Mass of ethanoic acid = 6g
Mass of sodium ethanoate = 8.2g                            Q.3 Which postulate of Dalton's atomic theory is
                                                           result of the law of conservation of mass?
Mass of carbon dioxide = 2.2
                                                           Sol. Atoms are indivisible particles, which can
Mass of water = 0.9g
                                                           neither be created nor destroyed in a chemical
Total mass of the reactants = (5.3 + 6) g = 11. 3g         reaction.
Total mass of the products = (8.2 + 2.2 + 0.9)= 11.3g
                                                           Q.4 Which postulate of Dalton's atomic theory
Total mass of reactants = Total mass of products
                                                           can explain the law of definite proportions?
      Hence, the given observations are in                 Sol. The relative number and kind of atoms in a
agreement with the law of conservation of mass.            given compound remains constant.
3.1.2 Law of Definite Proportions                          Q. A 0.24 g sample of compound of oxygen and
• It stated that a chemical compound is always             boron was found by analysis to contain 0.096 g if
  made up of same elements combined together               boron and 0.144 g of oxygen. Calculate
  in the same proportion by mass irrespective of           percentage composition of compound by weight.
  the source.                                              Sol. Mass of boron = 0.096g
• e.g. we may obtain water (H20) from any source           Mass of oxygen = 0.144g Mass of sample = 0.24g
  like rain, river well, sea, lake etc. but the ratio of   Thus, percentage of boron by weight in the
  hydrogen & oxygen is of 1:8. Similarly, the ratio of     compound = 0.096 × 100% / 0.24 = 40%
  carbon & oxygen in CO2 is 12:32 or 3:8 by mass.           Thus, percentage of oxygen by weight in the
Q.2 Hydrogen and oxygen combine in the ratio               compound = 0.144 × 100%/ 0.24 = 60 %
of 1 : 8 by mass to form water. What mass of               3.2 Atoms
oxygen gas would be required to react
                                                           • Atom is the smallest individual particles of the
completely with 3g of hydrogen gas?
                                                             matter.
Sol. It is given that the ratio of hydrogen and oxygen     • Atoms are very small. Atomic radius is measured in
by mass to form water is 1:8. Then, the mass of              nanometers.
oxygen gas required to react completely with 1g of         • 1nm = 10—9 m
hydrogen gas is 8g . Therefore, the mass of oxygen
                                                           • Radius of hydrogen atom is 10—10 m
gas required to react completely with 3g of hydrogen
gas is 8 × 3g = 24 g.                                      3.2.1 WHAT ARE THE MODERN DAY SYMBOLS
Q.2 When 3.0 g of carbon is burnt in 8.00 g                OF ATOMS OF DIFFERENT ELEMENTS?
oxygen, 11.00 g of carbon dioxide is produced.             • Dalton was the first scientist to use the symbols for
What mass of carbon dioxide will be formed                   elements in a very specific sense.
                                                            • they are also called homo-atomic molecules.
                                                            • They are formed by only one type of atoms are
                                                              known. E.g. H2, N2, P4 etc.
                                                            3.3.2 MOLECULES OF COMPOUNDS
                                                            • they are also called hetero-atomic molecules.
                                                            • They are formed by different types of atoms. E.g.
                                                              CO2, NO2, CH4, HCl etc.
• Berzilius suggested that the symbols of elements
                                                            3.3.3    WHAT IS AN ION?
  should be made from one or two letters of the
  name of the element.                                      • Charged species formed by loss or gain of electron
• IUPAC (International Union of Pure and Applied              is called ion. E.g. Na+, Mg2+, Cl–, O2– etc.
  Chemistry) approves names of elements, symbols            • They are of two types; cation and anion.
  and units.
                                                            Cation
• Many of the symbols are the first one or two letters
  of the element’s name in English.                         • A positively charged ion is known as cation.
• The first letter of a symbol is always written as a       • A cation is formed by the loss of one or more
  capital letter and the second letter as a small letter.     electrons by an atom.
  E.g. (i) hydrogen, H (ii) aluminium, Al and not AL.       • The ions of all the metal elements are cations.
• Other symbols of the elements are also taken from         • Example: Sodium atom loses 1 electron to form a
  their Latin, German or Greek names. E.g. symbol             sodium ion, Na+, which is cation :
  of iron is Fe from its Latin name ferrum, sodium is
  Na from natrium, potassium is K from kalium.
Anion
   •
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Q.1 If one mole of carbon atoms weighs 12
gram, what is the mass (in gram) of 1 atom of
carbon?
Sol.     One mole of carbon atoms weighs 12g
(Given)
        i.e., mass of 1 mole of carbon atoms =
12g
        Then, mass of 6.022× 1023 number of
carbon atoms = 12g
        Therefore, mass of 1 atom of carbon
= 126.022×1023g
        = 1.9926 × 10−23g
Q.2 When 3.0 g of carbon is burnt in 8.00 g           Q.6 Calculate the molar mass of the
oxygen, 11.00 g of carbon dioxide is                  following substances:
produced. What mass of carbon dioxide                        (a) Ethyne, C2H2
will be formed when 3.00 g of carbon is burnt                (b) Sulphur molecule, S8
in 50.00 g of oxygen ? Which law of chemical                 (c) Phosphorus molecule, P4 (atomic
combinations will govern your answer ?                mass of phosphorus = 31)
Sol.    Carbon + Oxygen → Carbon dioxide 3g of               (d) Hydrochloric acid, HCl
carbon reacts with 8 g of oxygen to produce 11g              (e) Nitric acid, HNO3
of carbon dioxide. If 3g of carbon is burnt in 50g    Sol. (a) Molar mass of ethyne, C2H2 = 2 × 12
of oxygen, then 3g of carbon will react with 8 g of   + 2 × 1 = 28g
oxygen. The remaining 42 g of oxygen will be left            (b) Molar mass of sulphur molecule, S8 = 8
un-reactive. In this case also, only 11g of carbon    × 32 = 256g
dioxide will be formed. The above answer is                  (c) Molar mass of phosphorus
governed by the law of constant proportions.          molecule,P4 = 4 × 31 = 124g
                                                             (d) Molar mass of hydrochloric acid, HCl =
                                                      1 + 35.5 = 36.5g
Q.3 What are polyatomic ions? Give                           (e) Molar mass of nitric acid, HNO3 = 1 +
examples?                                             14 + 3 × 16 = 63g
Sol. A polyatomic ion is a group of atoms
carrying a charge (positive or negative).For
example, ammonium ion (NH+4), hydroxide               Q.7     What is the mass of --
ion (OH−), carbonate                                          (a) 1 mole of nitrogen atoms?
ion (CO2−3),sulphateion (SO2−4).                              (b) 4 mole of aluminium atoms (Atomic
                                                      mass of aluminium = 27)?
                                                              (c) 10 moles of sodium
Q.4    Write the chemical formula of the              sulphite (Na2SO3) ?
following:                                            Sol. (a) The mass of 1 mole of nitrogen atoms
       (a) Magnesium chloride                         is 14g.
       (b) Calcium oxide                                      (b) The mass of 4 moles of aluminium
       (c) Copper nitrate                             atoms is (4 × 27)g = 108g
       (d) Aluminium chloride                                 (c) The mass of 10 moles of sodium
       (e) Calcium carbonate                          sulphite (Na2SO3) is
Sol.   (a) Magnesium chloride →MgCl2                          10 × [2 × 23 + 32 + 3 × 16]g = 10 × 126g =
       (b) Calcium oxide →CaO                         1260g
       (c) Copper nitrate →Cu(NO3)2
       (d) Aluminium chloride →AlCl3
       (e) Calcium carbonate →CaCO3                   Q.8   Convert into mole.
                                                            (a) 12g of oxygen gas
                                                            (b) 12g of water
Q.5 Give the names of the elements present                  (c) 22g of carbon dioxide
in the following compounds:                           Sol. (a) 32 g of oxygen gas = 1 mole
        (a) Quick lime                                      Then, 12g of oxygen gas = 1232 mole =
        (b) Hydrogen bromide                          0.375 mole
        (c) Baking powder                                   (b) 18g of water = 1 mole
        (d) Potassium sulphate                              Then, 20 g of water = 2018 mole = 1.11
Sol. .                                                moles (approx)
                                                            (c) 44g of carbon dioxide = 1 mole
      Then, 22g of carbon dioxide = 2244 mole =       (b) (i) and (iv)
0.5 mole                                              (c) (ii) and (iii)
                                                      (d) (ii) and (iv)
Q.9    What is the mass of :                          Sol. (d)
       (a) 0.2 mole of oxygen atoms?                  (ii) 20 moles of water = 20 ×18 g = 360 g of water,
       (b) 0.5 mole of water molecules?               because mass of 1 mole of water is the same as
Sol.    (a) Mass of one mole of oxygen atoms =        its molar mass, i.e., 18 g. Molarmassis the mass of
16g                                                   one mole of a substance.
       Then, mass of 0.2 mole of oxygen atoms =
                                                      The molecular formula of water is H 2O, which
0.2 × 16g = 3.2g
                                                      means that water is made up of two hydrogen and
       (b) Mass of one mole of water molecule =
                                                      one oxygen atoms.
18g
       Then, mass of 0.5 mole of water molecules      The standard atomic weight of hydrogen is
= 0.5 × 18g = 9g                                      1.00794 and that of oxygen is 15.9994. So the
                                                      molecular weight will be:
                                                      Molecular Weight of H2O = (2 × 1.00794) +
Q.10 Calculate the number of molecules of
                                                      (1×15.994) = 18.00988
sulphur (S8) present in 16g of solid sulphur.
Sol.     1 mole of solid sulphur (S8) = 8 × 32g =     So the molar mass of water is 18.00988 gm or
256g                                                  0.01800988 Kg.
        i.e., 256g of solid sulphur contains =        (iv) 1.2044 × 1025 molecules of water contains
6.022 × 1023 molecules                                1.2044 × 1025/NA number of moles,
        Then, 16g of solid sulpur                     Where NA = 6.023 × 1023
contains 6.022×1023256×16 molecules                   Therefore,
        = 3.76 × 1022 molecules (approx)              1.2044 × 1025 /6.023×1023
                                                      = 0.199 x 102 moles = 20 moles
Q.11 Calculate the number of aluminium
ions present in 0.051g of aluminium oxide.
(Hint: The mass of an ion is the same as that         Q.2 Which of the following statements is not true
of an atom of the same element. Atomic mass           about an atom?
of Al = 27u)                                          (a) Atoms are not able to exist independently
Sol.      1 mole of aluminium oxide (Al2O3) = 2 ×     (b) Atoms are the basic units from which molecules
27 + 3 × 16 = 102g                                    and ions are formed
         i.e., 102g of Al2O3 = 6.022                  (c) Atoms are always neutral in nature
× 1023 molecules of Al2O3                             (d) Atoms aggregate in large numbers to form the
         Then, 0.051 g of Al2O3 contains              matter that we can see, feel or touch
= 6.022×1023102×0.051 molecules                       Sol. (a)
         = 3.011 × 1020 molecules of Al2O3
         The number of aluminium
ions (Al3+) present in one molecules of               Q.3 The chemical symbol for nitrogen gas is
aluminium oxide is 2.                                 (a) Ni
         Therefore, The number of aluminium           (b) N2
ions (Al3+) present in                                (c) N+
         3.11 × 1020 molecules (0.051g)               (d) N
of aluminium oxide (Al2O3) = 2 × 3.011 × 1020
                                                      Sol. (b)
         = 6.022 × 1020
Q.29 The mass of one steel screw is 4.11g. Find    Q.33 The visible universe is estimated to contain
the mass of one mole of these steel screws.        1022 stars. How many moles of stars are present in
Compare this value with the mass of the Earth      the visible universe?
(5.98 × 1024kg). Which one of the two is heavier   Number of moles of stars = 10 22 / 6.023 ×1023 =
and by how many times?                             0.0166 moles
One mole of screws weigh = 2.475 ×10 24g =
2.475×1021 k
                                                   Q.34 What is the SI prefix for each of the following
Mass of the Earth/ Mass of 1 mole of screws =      multiples and submultiples of a unit?
5.98 ×1024 kg / 2.475 ×1021 kg = 2.4 x 103
                                                   (a) 103
Therefore, we can say that the mass of earth is
                                                   (b) 10–1
2.4×103 times the mass of screws.
                                                   (c) 10–2
The earth is 2400 times heavier than one mole of
screws.                                            (d) 10–6
                                                   (e) 10–9
Q.30 A sample of vitamin C is known to contain     (f) 10–12
2.58 ×1024 oxygen atoms. How many moles of         (a) 103 = 1000= kilo
oxygen atoms are present in the sample?            (b) 10–1 =1/10= 0.1= deci
1 mole of oxygen atoms = 6.023×10 23 atoms         (c) 10–2 =1/100 = 0.01= centi
Therefore,                                         (d) 10–6 = 0.000 001= micro
Number of moles of oxygen atoms = 2.58 ×           (e) 10–9 =0.000 000 001 = nano
1024/6.023 ×1023 = 4.28 mol                        (f) 10–12=0.000 000 000 001 = pico
4.28 moles of oxygen atoms
                                                   Q.35 Express each of the following in kilograms
Q.31 Raunak took 5 moles of carbon atoms in a      (a) 5.84 × 10–3 mg
container and Krish also took 5 moles of sodium    (b) 58.34 g
atoms in another container of same weight.         (c) 0.584g
(a) Whose container is heavier?                    (d) 5.873 × 10-21g
(b) Whose container has more number of atoms?      (a) 5.84 × 10–3 mg = 5.84 ×10–9 kg
(a) Mass of sodium atoms carried by Krish = (5     (b) 58.34 g =5.834 ×10–2 kg
×23) g = 115 g
                                                   (c) 0.584g =5.84 ×10–4 kg
Atomic weight of Na = 23
                                                   (d) 5.873×10-21g=5.873 ×10–24 kg
While mass of carbon atom carried by Raunak = (5
×12) g = 60g
Q.36 Compute the difference in masses of 103        Number of moles of gold = Mass of gold/ Atomic
moles each of magnesium atoms and magnesium         weight of gold
ions. (Mass of an electron = 9.1 × 10 –31 kg)       Atomic weight of gold = 196.967 grams/mol= 197
A Mg2+ ion and Mg atom differ by two electrons.     grams/mol
103 moles of Mg2+ and Mg atoms would differ by      Therefore,
103 × 2 moles of electrons                          Number of moles of gold = 0.9/197 = 0.0046
Mass of 2 ×103 moles of electrons = 2×103 × 6.023   One mole of gold contains = 6.022 ×10 23
×1023 × 9.1 ×10–31 kg                               ∴ 0.0046 mole of gold will contain =0.0046 × 6.022
= 2 × 6.022 × 9.1 × 10–5kg = 109.6004 ×10–5 kg =    ×1023 = 2.77 ×1021
1.096 × 10–3kg
                                                    Q.40 What are ionic and molecular compounds?
Q.37 Which has more number of atoms? 100g of        Give examples.
N2 or 100 g of NH3                                  Chemical elements can join with each other to form
No of moles of atoms = w/ atomic weight             chemical compounds.
100 g of N2 = 100/ 2 x 14 moles                     Ionic compounds: Ionic compounds are formed
100 g of N2 =100/28 moles                           by the attraction between positive and negative
Number of molecules = 100/ 28 × 6.022 ×1023         ions. Positively charged ions are known as cations
Molar mass of N2= 2 × molar mass of monatomic       and negatively charged ions are known as anions.
N = 2 × 14.0067                                     Ionic compounds are formed. The compounds
                                                    formed by the transfer of electrons are called as
Molar mass of N2 = 28.01340
                                                    ionic compound. The bond found in these
Molar mass of N2 = 28                               compounds are ionic in nature.
To find number of molecules, number of moles X      These compounds are pure substances which are
multiply by Avogadro's number                       formed be a metal and a non-metal. Cations are
Number of molecules = 100/ 28 × 6.022 ×1023         usually formed by metal atoms and the anions are
Number of atoms in N2 = 1 + 1 = 2 = 2 ×100/ 28 ×    formed by nonmetal atoms. They are good
6.022 ×1023 = 43.01×1023                            conductors of electricity when in a molten or
(ii) 100 g of NH3 = 100/ 17 moles                   aqueous state, have high melting point, soluble in
To find number of molecules, number of moles ×      water. Ionic compounds exist as crystals.
Avogadro's number                                   Examples      of    ionic   compounds:      sodium
Number of molecules = 100/ 17 × 6.022 ×             chloride, sodium bromide, potassium chloride etc.
1023 molecules                                      Ex : - 2Na + Cl2 → 2Na+ Cl- → 2NaCl (sodium
Number of atoms in NH3 = 1 + 3 = 4 = 100/ 17×       chloride- common salt.) Sodium is a group 1 metal,
6.022 ×1023 × 4 atoms = 141.69 ×1023                thus forms a +1 charged cation. Chlorine is a
                                                    nonmetal, and has the ability to form a -1 charged
Therefore,NH3 would have more atoms                 anion.
                                                    Molecular Compounds: Molecular compounds
Q.38 Compute the number of ions present in 5.85     are formed by uncharged atoms. They are also
g of sodium chloride.                               called as covalent compounds, as they are
Atomic weight; Na = 22.99 g, Cl = 35.45 g           formed by sharing of electrons between the two
Atomic weight of NaCl= 23 + 35.5 = 58.5g.           atoms and the elements are held together by
5.85 g of NaCl = 5.85/ 58.5 = 0.1moles              covalent bonds.
Each NaCl particle is equivalent to one Na + and    These, are the pure substances, formed by non-
one Cl– = 2 ions                                    metals. It has a low melting point and cannot
Total moles of ions = 0.1 × 2= 0.2 moles            conduct electricity regardless of state. Molecular
                                                    compounds can exist as either solid, liquid or
Number of ions= total number of moles of ions X
                                                    gaseous state. Eg: carbon dioxide, carbon
Avogadro's number
                                                    monoxide, hydrogen chloride, water, methane etc.
Therefore,
                                                    Ex: 2C + O2 → 2CO ( Carbon monoxide)
No. of ions= 0.2 × 6.022 ×1023
1.2042 ×1023 ions
                                                    Q.41 Compute the difference in masses of one
                                                    mole each of aluminium atoms and one mole of its
Q.39 A gold sample contains 90% of gold and the     ions. (Mass of an electron is 9.1×10 –28 g). Which
rest copper. How many atoms of gold are present     one is heavier?
in one gram of this sample of gold?                 Mass of 1 mole of aluminium atom = the molar
Given, the sample contains 90% of Gold (Au).        mass of aluminium = 27 g mol–1
One gram of gold sample will contain 90% of Gold    An aluminium atom loses three electrons to
i.e. 90/100=0.9g of gold                            become an ion, Al3+
For one mole of A13+ ion, three moles of electrons
are to be lost                                         Q.44 Fill in the blanks
Therefore, total number of electrons lost =3           (a) In a chemical reaction, the sum of the masses
The mass of three moles of electrons = 3 ×             of the reactants and products remains unchanged.
(9.1×10–28) × 6.022×1023 g                             This is called __________.
= 27.3 × 6.022 ×10–5 g                                 (b) A group of atoms carrying a fixed charge on
= 164.400 ×10–5 g                                      them is called ________.
= 0.00164 g                                            (c) The formula unit mass of Ca 3 (PO4)2 is
Molar mass of Al3+ = molar mass of aluminium –         _________.
mass of electrons                                      (d) Formula of sodium carbonate is _______ and
(As it loses electrons to become Al 3+) =(27–          that of ammonium sulphate is ________.
0.00164) g mol–1 = 26.9984 g mol–1                     (a) Law of conservation of mass.
Therefore, difference in masses of one mole each       (b) ions.
of aluminium atoms and one mole of its ions            (c) 310
= 27 – 26.9984 = 0.0016 g                              3 × atomic mass of Ca+ 2 × atomic mass of
                                                       phosphorus + 8 × atomic mass of oxygen) = 310
Q.42 A silver ornament of mass ‘m’ gram is             3 × 40 + 2 × 31 + 8 × 16 = 120 + 62 + 128 = 310
polished with gold equivalent to 1% of the mass of     (d) Na2 CO3       (NH4) 2 SO4
silver. Compute the ratio of the number of atoms of
gold and silver in the ornament.                       Q.45 Complete the following crossword puzzle
Mass of silver = ‘m’ g                … (i)            Figure by using the name of the chemical
Mass of gold= m/100 g                 … (ii)           elements. Use the data given in Table.
Number of atoms of silver(Ag) = Mass / Atomic
mass × Avogadro's number(NA)
= m/108 × NA               (from (i)
Atomic weight of silver = 108 g/mol
Number of atoms of gold(Au) = Mass / Atomic
mass × Avogadro's number(NA)
= m/100 ×197 × NA          (from (ii)
Ratio of number of atoms of gold to silver = Au : Ag
= m/100 × 197 × NA : m/108 × NA
= 108 : 100 × 197
= 108 : 19700
= 1 : 182.41