An open mouth can let gas out.
The cork makes a closed system. Only then is the comparison of the two weighings fair.
Class 9 · Science · Chapter 3 · बिहार बोर्ड (BSEB)CBSE · NCERT 2026-27
Atoms and Molecules
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4. The memory picture for water and magnesium chloride shows the valency criss-cross that gives H2O and MgCl2.
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द्रव्यमान संरक्षण — क्रियाकलाप 3.1 · Bihar 3.1.1 · Activity 3.1
By the end of the eighteenth century elements and compounds were told apart. Lavoisier laid the base of the laws of chemical combination. The law of constant proportions is tied to the experiments of Joseph L. Proust.
The first question was whether total mass changes in a reaction. Mass is neither created nor destroyed. The sum of the reactants stays equal to the sum of the products.
Take one of the three pairs. Make X and Y separately as 5% solutions.
Put a little of solution Y in a conical flask. Put solution X in an ignition tube. Hang the tube in the flask so the solutions do not mix yet. Cork the mouth. Weigh the flask with its contents. Then tilt and swirl so that X and Y mix. Weigh again.
On mixing, a new substance appears, so a reaction has taken place. The weight does not change, because nothing came in and nothing went out.
Gas can leave an open mouth. The balance then shows a smaller mass and the law looks false. The law is about a closed system, not about an open flask.
Question: 5.3 g of sodium carbonate reacted with 6 g of ethanoic acid. The products are 2.2 g of carbon dioxide, 0.9 g of water and 8.2 g of sodium ethanoate. Check conservation of mass.
Formula: mass of reactants = mass of products.
Substitution: Left side 5.3 g + 6 g = 11.3 g. Right side 2.2 g + 0.9 g + 8.2 g = 11.3 g.
Unit: 11.3 g on both sides. Mass is conserved. Word equation: sodium carbonate + ethanoic acid → sodium ethanoate + carbon dioxide + water.
Write the two sums separately. Only “they are equal” stays incomplete.
The reason for the cork is that gas must not leave. “The flask looks neat” is not the reason.
An open mouth can let gas out.
The cork makes a closed system. Only then is the comparison of the two weighings fair.
False — mass is neither created nor destroyed.
This person laid the base of chemical science.
Lavoisier. The law of constant proportions belongs to Proust.
The two sums have to match.
5.3 + 6 = 11.3 g. The products are also 2.2 + 0.9 + 8.2 = 11.3 g.
One pair is barium chloride and sodium sulphate. The corked flask is closed. Mass is not destroyed in the reaction, so the weighing does not change.
स्थिर अनुपात और डाल्टन · Bihar 3.1.2 · Dalton six points
According to Proust, the elements in a chemical substance are always present in definite proportions by mass. This is the law of constant proportions, also called the law of definite proportions.
In water the mass ratio of hydrogen to oxygen is always 1:8. From 9 g of water you obtain 1 g of hydrogen and 8 g of oxygen. In ammonia, nitrogen and hydrogen stay in the ratio 14:3. In carbon dioxide, carbon and oxygen are 3:8.
The mass ratio of elements in a compound stays fixed. Dalton explained these laws with atoms. His six points are these. All matter is made of very small particles, atoms. In a chemical reaction atoms are neither created nor destroyed. Atoms of one element are alike in mass and chemical properties. Atoms of different elements differ. Atoms combine in small whole-number ratios to form compounds. In a given compound the relative number and kinds of atoms stay constant.
The second point is the result of conservation of mass. The last point explains the law of definite proportions. Kanad had called the small particles Parmanu. Democritus called them atoms, meaning indivisible. Those ideas were philosophy. Dalton stood them on the laws.
Question: Hydrogen and oxygen form water in the mass ratio 1:8. What mass of oxygen is needed for 3 g of hydrogen?
Formula: m(O) = 8 × m(H).
Substitution: m(O) = 8 × 3 g = 24 g. Water = 3 g + 24 g = 27 g.
Unit: 24 g of oxygen. This is three times the 1 g and 8 g in 9 g of water.
Write both the name of the law and the example. Only 1:8, with no water, is incomplete.
If the question asks which point came from which law: the second point is conservation, the last point is definite proportions.
True — that is constant proportions.
The last point is the fixed make-up of a compound.
If the relative number and kinds stay fixed, the mass ratio stays fixed too. The conservation point is the second one.
m(O) = 8 × m(H) = 8 × 3 g = 24 g. 24 g of oxygen is needed.
The water ratio is 1:8. This is the other one.
14:3. It stays the same even if the source or the method changes.
परमाणु, संकेत और u · Bihar 3.2 · symbols · carbon-12
An atom is a building block of matter, yet it is far smaller than the thickness of this paper. Stack millions of atoms and the layer is still only about as thick as a sheet. Radius is measured in nanometres. 1 nm = 10−9 m. The radius of a hydrogen atom is about 10−10 m.
An atom is not seen with the naked eye. Modern pictures can show atoms on a surface, such as the surface of silicon. Atoms of most elements do not stay alone. They form molecules or ions.
Berzelius made symbols from one or two letters. The first letter is capital, the second is small. Al is right, AL is wrong. Co is cobalt, and CO is read like carbon monoxide. Some symbols come from Latin: iron Fe (ferrum), sodium Na (natrium), potassium K (kalium). IUPAC accepts the names. You do not need every symbol in one day.
Since 1961 the standard of atomic mass is carbon-12. 1 u = 1/12 of the mass of one carbon-12 atom. Relative atomic mass compares the average mass of the atom with this 1/12. A few table values are these.
| Element | Symbol | Mass (u) |
|---|---|---|
| H | H | 1 |
| C | C | 12 |
| N | N | 14 |
| O | O | 16 |
| Na | Na | 23 |
| S | S | 32 |
| Cl | Cl | 35.5 |
| Ca | Ca | 40 |
Chlorine is 35.5 u. That is not half an atom. The average opens in the next chapter. In calculations here, use the table value.
Question: 3 g of carbon joins 4 g of oxygen to make CO. Take carbon as 12 u. Find the relative mass of oxygen.
Formula: atomic mass (O) = (mass of oxygen / mass of carbon) × atomic mass (C).
Substitution: (4 g / 3 g) × 12 u = (4/3) × 12 u = 16 u.
Unit: 16 u. If carbon were taken as 1 u, oxygen would come out as 4/3 ≈ 1.33 u. The carbon-12 scale is easier for whole numbers.
In the definition of u write the full line “one-twelfth of carbon-12”. Do not write only “a small measure”.
CO and Co are different. The second letter is always small.
The standard is the 1961 carbon-12.
1 u is exactly one-twelfth of one carbon-12 atom. 12 g is the mass of one mole, not 1 u.
Two letters, the second small.
Fe. Sodium Na and potassium K also come from Latin.
False — cobalt is Co. CO is read as carbon monoxide.
(4/3) × 12.
(4/3) × 12 u = 16 u. The unit is u, not g.
It is the small part with nine zeros.
10⁻⁹ m. 1 m = 10⁹ nm.
1 u is 1/12 of the mass of one carbon-12 atom. 35.5 u is the table average, not a half piece of one atom.
अणु और परमाणु-अनुपात — क्रियाकलाप 3.2 · Bihar 3.3 · Activity 3.2
A molecule is the smallest particle of an element or a compound that can exist on its own and show the properties of the substance. Atoms of the same element may join, or atoms of different elements.
Argon and helium are monoatomic. Oxygen, hydrogen, nitrogen and chlorine are diatomic: O2, H2, N2, Cl2. Phosphorus is tetra-atomic, P4. Sulphur is polyatomic, S8. The number of atoms in a molecule is its atomicity. Ozone has three atoms of oxygen. Metals and carbon do not have a simple small number.
In a compound, atoms of different elements join in a fixed ratio. Water is H and O, mass 1:8. Ammonia is N and H, 14:3. Carbon dioxide is C and O, 3:8.
Divide the mass ratio by the atomic mass. Turn the ratio you get into small whole numbers. That is the ratio of the number of atoms in the molecule.
For water the book shows these steps. Hydrogen: mass part 1, atomic mass 1 u, ratio 1/1 = 1. Oxygen: mass part 8, atomic mass 16 u, ratio 8/16 = 1/2. Multiply both by 2. H:O = 2:1, so water is H2O.
Question: In carbon dioxide the mass ratio C:O is 3:8. Find the ratio of the number of atoms. C = 12 u, O = 16 u.
Formula: number ratio = mass part / atomic mass.
Substitution: C = 3/12 = 1/4. O = 8/16 = 1/2. Multiply both by 4: C = 1, O = 2.
Unit: the ratio is a count of atoms, 1:2. The formula is CO2.
Do not write the mass ratio and the atom ratio as the same pair. In water 1:8 is mass and 2:1 is number.
After dividing, turn the fractions into whole numbers. Do not build a formula from 1/4 and 1/2 as they stand.
P4 is tetra-atomic. S8 is different.
4. Argon is 1, oxygen is 2, sulphur is polyatomic.
False — He is monoatomic. Diatomic examples are O2 and H2.
Mass is 1:8. For the number, double 8/16.
2:1. So the formula is H2O.
Number = mass / atomic mass. N = 14/14 = 1. H = 3/1 = 3. The ratio is 1:3, formula NH3.
Both elements and compounds have molecules.
A molecule can exist on its own and show the properties of the substance. Charge is the mark of an ion.
आयन और सूत्र — समूह क्रियाकलाप · Bihar 3.4 · group activity · figure
Compounds of metals and non-metals contain charged particles. These are ions. A positive ion is a cation and a negative ion is an anion. NaCl has Na+ and Cl−. A group of atoms that carries a charge is a polyatomic ion, such as SO42−, OH− and NH4+.
Valency is the combining capacity. Think of it as hands. In the criss-cross, the valency of one becomes the number of the other. The total charge must stay zero.
There are three rules. Charges or valencies must balance. In a metal and a non-metal, write the metal symbol first, as in CaO and NaCl. If a polyatomic ion comes more than once, use brackets. Once means no brackets, as in NaOH. Do not write charges in the finished formula. If both valencies are equal, cancel: not Ca2O2, but CaO.
This is not a numbered Activity 3.3. In a group, make separate placards for symbols and valencies. Symbol in the right hand, valency in the left. Keep the symbols in place and criss-cross the valencies.
For a cheap model, cut empty medicine blister packs into as many cells as the valency. One kind of ion sits in the other. In sodium sulphate two sodium ions sit on one sulphate, formula Na2SO4. Do this one yourself: sodium phosphate is Na3PO4, because the valency of phosphate is 3.
Question: Write the formula of calcium hydroxide. The valency of Ca is 2 and of OH is 1.
Formula: criss-cross — the number of OH equals the valency of Ca.
Substitution: one Ca, two OH. Brackets are needed because OH comes twice.
Unit: the count is of atoms. The formula is Ca(OH)2. In it Ca = 1, O = 2, H = 2. CaOH2 is wrong.
Write one example with brackets and one without. This pair is what the paper asks.
In Cu(NO3)2 nitrate comes twice, so there are brackets. In NaNO3 it comes once, so no brackets.
10-second revision
Valency of Mg is 2, of Cl is 1.
MgCl2. 2 and 1 are not equal, so nothing is cancelled. Charges are not written in the formula.
Criss-cross 3 of Al and 2 of O.
Al2O3. Two aluminium ions and three oxide ions cancel +6 and −6.
False — because of two OH groups we write Ca(OH)2.
The do-it-yourself of the group activity. Phosphate has valency 3.
Na3PO4. Three sodium ions sit on one phosphate.
H2S has 3 atoms, two hydrogen and one sulphur. PO4^3− has 5 atoms, one phosphorus and four oxygen.
False — OH comes only once, so NaOH. The brackets are in Ca(OH)2.
आणविक द्रव्यमान और सूत्र इकाई · Bihar 3.5.1 and 3.5.2
The molecular mass of a molecule is the sum of the atomic masses of all the atoms in it. The unit is u.
A substance made of ions is not one free molecule in the same way. For it we say formula unit. The addition is the same. The formula unit mass of NaCl is 23 + 35.5 = 58.5 u. For an ionic compound write formula unit mass, not molecular mass.
Question: Find the molecular mass of HNO3 and the formula unit mass of CaCl2. H = 1, N = 14, O = 16, Ca = 40, Cl = 35.5.
Formula: sum = mass of each atom × its number.
Substitution: HNO3 = 1 + 14 + 3 × 16 = 1 + 14 + 48 = 63 u. CaCl2 = 40 + 2 × 35.5 = 40 + 71 = 111 u.
Unit: both answers are in u. HNO3 is a molecular mass. CaCl2 is a formula unit mass.
Whether the question says molecular or formula unit, show the sum and write the right name.
If Cl = 35.5, write 2×35.5 = 71. 2×35 = 70 is a mistake.
10-second revision
Two hydrogen and one oxygen.
18 u. 2×1 + 16 = 18.
CaCl2 is made of ions.
Formula unit mass. The sum is 40 + 2×35.5 = 111 u.
ZnO = 65 + 16 = 81 u. Na2O = 2×23 + 16 = 46 + 16 = 62 u.
False — for NaCl we say formula unit mass. 23 + 35.5 = 58.5 u.
मोल और आवोगाद्रो संख्या · Bihar 3.5.3 · 6.022 × 10^23
The reaction that makes water tells both a count of molecules and a mass.
Two hydrogen molecules and one oxygen molecule make two water molecules. In the language of mass, 4 u of hydrogen and 32 u of oxygen make 36 u of water. The count sits in the equation, so chemists wanted a unit of the number of particles before the mass.
1 mole of any particles is the amount whose mass in grams equals the number of the atomic or molecular mass. 1 mole = 6.022 × 1023 particles. This is the Avogadro number. Exactly 12 g of carbon-12 contains this many atoms. Molar mass is the same number, with g in place of u. 1 mole of hydrogen atoms is 1 g. 1 mole of water is 18 g and holds 6.022 × 1023 molecules.
Three formulae are enough. moles = given mass / molar mass. moles = given number / Avogadro number. number of particles = moles × Avogadro number.
Question: (i) How many moles are in 52 g of helium? He = 4 u. (ii) What is the mass of 0.5 mole of N2? N2 = 28 u.
Formula: n = m / M and m = M × n.
Substitution: (i) n = 52 g / 4 g = 13 mol. (ii) m = 28 g × 0.5 = 14 g.
Unit: the first answer is 13 mol, the second is 14 g. 0.5 mole of N atoms would be 14 × 0.5 = 7 g, because the molar mass of N is 14 g.
Keep the molar mass of the atom and of the molecule apart. 0.5 mole of N and 0.5 mole of N2 have masses 7 g and 14 g.
When the question asks for a number, do not forget to multiply by the Avogadro number. Writing only the moles is incomplete.
10-second revision
The molar mass of He is 4 g.
n = 52/4 = 13 mol. 6.022 × 10^23 is the number in one mole.
This is called the Avogadro number.
6.022 × 10^23. That is 1 mole.
The molar mass of O2 is 32 g. n = 8/32 = 0.25 mol. Number = 0.25 × 6.022 × 10^23 = 1.5055 × 10^23 molecules.
True — the molecular mass is 18 u, so the molar mass is 18 g.
The molar mass of an N atom is 14 g, of N2 is 28 g.
m = 14 × 0.5 = 7 g. 14 g would be the mass of 0.5 mole of N2.
Pick a type. The 35 lesson checks are separate — each lesson has as many as its topic needs. All correct earns mastery ★.
No question is marked as a verified past paper. The BSEB set is a model for practice. CBSE items are CBSE-style, not a copy of any year’s paper.
It is about a closed system.
The total mass stays the same.
Definite proportions is the same law.
Proust. Lavoisier is linked with conservation of mass.
H:O = 1:8.
8 g of oxygen and 1 g of hydrogen.
The second point.
Atoms are neither created nor destroyed.
Latin natrium.
Na. S is sulphur and N is nitrogen.
The 1961 standard.
With 1/12 of carbon-12.
Cl2.
Chlorine. Argon and helium are monoatomic. P4 has four atoms.
Copper(II) has valency 2, nitrate has 1.
Cu(NO3)2. Nitrate comes twice, so there are brackets.
Quick lime is CaO.
Calcium and oxygen.
1 + 14 + 48.
63 u.
The Avogadro number.
6.022 × 10^23. 18 g is only the mass of 1 mole of water.
More than one atom and a charge.
SO4^2−. Na+ and Cl− are monoatomic ions.
3 g of carbon and 8 g of oxygen make 11 g of CO2.
11.00 g. The extra oxygen does not join. This is constant proportions.
Count the four symbols.
Nitrogen is absent. Na, H, C and O are present.
False — the system must be closed. That is why there is a cork.
True — that is their third point. Isotopes come in the next chapter.
False — potassium is K. P is phosphorus.
True — S8. Phosphorus P4 is tetra-atomic.
False — the formula is MgCl2, not Mg^2+Cl−2.
True — NaCl and CaCl2 are in this class.
True — the atomic mass is 1 u, so the gram atomic mass is 1 g.
False — Ar is monoatomic.
Water at 1:8 comes under this.
The law of Proust.
2:1.
Turn 1/1 and 8/16 into whole numbers.
natrium.
The symbol Na comes from this.
CaO.
Both valencies are 2, so cancel.
Polyatomic.
P4 is tetra-atomic.
6.022 × 10^23.
This many atoms are in 12 g of carbon-12.
78 + 12 + 48 = 138 u.
2×39 + 12 + 3×16.
AlCl3.
Valency of Al is 3, of Cl is 1.
Iron Fe, potassium K, silver Ag, gold Au.
Water 1:8, ammonia 14:3, carbon dioxide 3:8, salt 23:35.5.
Assertion (A): The two weighings of a closed flask stay equal.
Reason (R): In a chemical reaction mass is neither created nor destroyed.
Both are true and R explains A.
Assertion (A): In water from every source, hydrogen and oxygen are in the mass ratio 1:8.
Reason (R): In a pure compound the elements stay in definite proportions by mass.
Both are true and R is the correct reason.
Assertion (A): The symbol of cobalt is Co.
Reason (R): CO and Co are two ways of writing the same substance.
A is true. R is false. CO is carbon monoxide, Co is cobalt.
Assertion (A): Ca(OH)2 and CaOH2 show the same count.
Reason (R): A polyatomic group gets brackets when it comes more than once.
A is false. In CaOH2 the hydrogen count is read differently. R is true.
Assertion (A): The mass of 1 mole of water is 18 g.
Reason (R): The Avogadro number is 6.022 × 10^23.
Both are true, but R does not explain the 18 g. The 18 g comes from the molecular mass.
Ar is one, N2 and Cl2 are two, P4 is four.
Na+ is a cation, Cl− an anion. NH4+ and CO3^2− are polyatomic.
In a chemical reaction mass is neither created nor destroyed.
A group of atoms that carries a fixed charge is a polyatomic ion. An example is SO4^2− or OH−.
1 u is exactly 1/12 of the mass of one carbon-12 atom.
Hydrogen bromide has hydrogen and bromine. Potassium sulphate has potassium, sulphur and oxygen.
A chemical formula is a symbol of the composition of a compound. It shows the elements and the number of atoms of each element.
Boron % = (0.096 / 0.24) × 100 = 40%. Oxygen % = (0.144 / 0.24) × 100 = 60%.
ZnO = 65 + 16 = 81 u. Na2O = 46 + 16 = 62 u. K2CO3 = 78 + 12 + 48 = 138 u.
(a) O2 = 32 g, n = 12/32 = 0.375 mol. (b) H2O = 18 g, n = 20/18 = 10/9 mol. (c) CO2 = 44 g, n = 22/44 = 0.5 mol.
C2H2 = 26 g. S8 = 8×32 = 256 g. P4 = 4×31 = 124 g. HCl = 36.5 g. HNO3 = 63 g.
Make 5% solutions of X and Y separately. Y goes in the flask, X in the ignition tube. Weigh with the cork on, mix, and weigh again. 5.3 + 6 = 11.3 g and 2.2 + 0.9 + 8.2 = 11.3 g. The cork stops gas from leaving, otherwise the mass would look smaller.
MgCl2 because Mg is 2 and Cl is 1. CaO because 2 and 2 cancel to 1 and 1. Cu(NO3)2 because nitrate comes twice. AlCl3 because Al is 3 and Cl is 1. CaCO3 because 2 of Ca and 2 of CO3 cancel and carbonate comes once.
(a) S8 = 256 g. n = 16/256 = 1/16 mol. Number = (1/16) × 6.022 × 10^23 = 3.76 × 10^22 molecules. (b) Al2O3 = 102 g. n = 0.051/102 = 0.0005 mol. Ions = 2 × 0.0005 × 6.022 × 10^23 = 6.022 × 10^20.
This model set is for practice. It is not a question from any year’s annual examination. Annual questions will be added only when a source page is available.
ferrum.
Fe. H, O and N are the first letters of the English names.
The fifth point.
In a ratio of small whole numbers.
108 g.
4 × 27.
8/16 = 1/2. Hydrogen gives 1/1 = 1. Multiplying both by 2 gives 2:1. The formula is H2O.
Atoms are neither created nor destroyed in a chemical reaction. That is conservation. The relative number and kinds of atoms in a compound stay constant. That is definite proportions. m(O) = 8 × 3 g = 24 g.
These are competency-based practice questions. They are not copies of a CBSE paper.
First capital, second small.
Cobalt is Co. CO is carbon monoxide.
Constant proportions. 8 g of oxygen with 3 g of carbon.
The extra oxygen does not join. CO2 is 11.00 g. Oxygen left is 42.00 g.
Assertion (A): Ca(OH)2 has two atoms of oxygen.
Reason (R): The 2 outside the brackets applies to the whole OH group.
Both are true and R explains the count in A.
Assertion (A): The number of aluminium ions in 0.051 g of Al2O3 is 6.022 × 10^20.
Reason (R): The molar mass of Al2O3 is 54 g.
A is true: on 102 g, 0.0005 mol, ions doubled, 6.022 × 10^20. R is false. The molar mass is 2×27 + 48 = 102 g.
NaCl is ionic, so 23 + 35.5 = 58.5 u is the formula unit mass. CaOH2 is wrong because OH comes twice. The correct formula is Ca(OH)2.
n = m/M. Sodium n = 100/23 ≈ 4.35 mol. Iron n = 100/56 ≈ 1.79 mol. Sodium has more moles, so it has more atoms.
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What you learned
| What | Keep this |
|---|---|
| Water by mass | H:O = 1:8 |
| Water by atoms | H:O = 2:1 |
| 1 u | 1/12 of one carbon-12 atom |
| Avogadro number | 6.022 × 10^23 |
| Molecular mass of water | 18 u |
| Formula unit mass of CaCl2 | 111 u |
The notes are original writing. The textbook was used only for activity order and numbers. “Verified” will be used only on a question that has a source page.