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9th Class Chemistry · Punjab Board · Chapter 4

Chapter 4: StoichiometryLong Questions with Answers

8 long (comprehensive) questions of 9th Class Chemistry Chapter 4, Stoichiometry, answered in full with headings, diagrams and tables, including important board-paper questions beyond the book. Punjab Board new syllabus.

Chapter 4· Stoichiometry

Long Questions with Answers

Long answers, explained in full with headings. Learn the structure: definition, explanation, diagram or table, example.

Set A: Textbook comprehensive questions 3 questions

The long questions at the end of the chapter in your book.

Long Q 4.1

Which conditions must be fulfilled before writing a chemical equation for a reaction?

Answer

What a chemical equation is

Representing a chemical change in terms of symbols of elements and formulas of compounds is called a chemical equation. It tells us the reactants (written on the left) and the products (written on the right); an arrow from reactants to products separates the two.

1. Law of conservation of mass

A chemical equation must obey the law of conservation of mass. No atom should be destroyed or produced during a chemical change. The total number and the type of atoms must remain the same, so the total number and kind of atoms on both sides of the equation must be equal: the chemical equation must be balanced.

2. Correct formulas

The formulas of elements and compounds must be written correctly. A wrong formula cannot be fixed by changing coefficients: water is always H₂O, never HO or H₂O₂.

3. Correct mole ratio

A chemical equation must determine the correct mole ratio among the reactants, the products and between the reactants and the products.

4. Direction of change

A chemical equation must also point out the direction in which the change is proceeding: → for a reaction that goes one way, ⇌ for a reversible reaction.

5. Physical states

It is a usual practice to show the normal physical states of reactants and products as a subscript. Solid, liquid and gas are symbolized as s, l and g; aqueous (aq) represents the solvated ion.

Experimental verification

A chemical equation can only be written if all the above points are experimentally verified. The nature of the products and their correct formulas must first be ascertained.

Example

Zn(s) + H₂SO₄(aq) → ZnSO₄(aq) + H₂(g)

Zinc reacts with sulphuric acid to give zinc sulphate and hydrogen gas. One mole of zinc reacts with one mole of sulphuric acid to produce one mole of zinc sulphate and one mole of hydrogen gas. The equation is balanced (1 Zn, 2 H, 1 S, 4 O on each side), has correct formulas, a 1 : 1 : 1 : 1 mole ratio, a forward arrow and state symbols.

Check your book

The book writes ZnSO₄(s) here; the zinc sulphate stays dissolved, so it is ZnSO₄(aq).

Long Q 4.2

Explain the concepts of Avogadro's number and mole.

Answer

The problem

In a chemical reaction a large number of atoms or molecules of reactants react to give the products. We would like to know the mass ratio in which the reactants react, and to express these masses in grams. It is not possible to weigh individual atoms or molecules because they are very small.

Building up to Avogadro's number

Consider 2C + O₂ → 2CO. Increasing the number of reacting species (2 × 100 atoms with 100 molecules, 2 × 10 000 atoms with 10 000 molecules) does not change the ratio in which they react, but the numbers are still far too small to weigh. We increase them to 6.022 × 10²³, because 1.00 g = 6.022 × 10²³ amu:

2CO₂2CO
particles2 × 6.022 × 10²³ atoms6.022 × 10²³ molecules2 × 6.022 × 10²³ molecules
mass2 × 6.022 × 10²³ × 12 amu = 24 g6.022 × 10²³ × 32 amu = 32 g2 × 6.022 × 10²³ × 28 amu = 56 g

Starting from a simple equation we now have a mass ratio, 24 g : 32 g : 56 g, which can conveniently be used in the laboratory.

Definition
Avogadro's number

The number 6.022 × 10²³, named after the Italian chemist Amedeo Avogadro; it is the number of units in one mole of a substance, represented as Nᴀ.

The mole

Definition
Mole

The quantity of a substance containing Avogadro's number of particles.

Mole is a number like a dozen or a gross. A dozen of oranges means 12 oranges; similarly a mole of a substance means its 6.022 × 10²³ particles, which can be atoms, molecules or ions. We must say which particles we mean.

  • A mole of carbon atoms contains 6.022 × 10²³ atoms and weighs 12 g.
  • A mole of oxygen molecules contains 6.022 × 10²³ molecules and weighs 32 g.
  • A mole of sodium chloride consists of 6.022 × 10²³ formula units and its mass is 58.5 g.

Molar mass

The mass of one mole of a substance is called molar mass. Hydrogen atoms 1.008 g; hydrogen molecules 2.016 g.

The equation read in moles

2C+ O₂→ 2CO
two atomsone moleculetwo molecules
two moles of Cone mole of O₂two moles of CO
24 g32 g56 g
Mass (m)in gramsMoles (n)in molParticles (N)atoms / molecules / ions÷ molar mass× molar mass× 6.022 × 10²³÷ 6.022 × 10²³n = m ÷ M = N ÷ NᴀM = molar mass (g mol⁻¹), Nᴀ = Avogadro's number
Mass, moles and particles.
n = m ÷ M; N = n × Nᴀ
Long Q 4.3

(Investigative) The chemical formula for sand is SiO₂ but sand does not exist in the form of discrete molecules like H₂O. How has its formula been determined keeping in view its structure?

Answer

Structure of sand

Sand is mostly silicon dioxide (silica). It is a giant covalent (network) structure, not a collection of small molecules. Each silicon atom is bonded to four oxygen atoms (at the corners of a tetrahedron), and each oxygen atom is shared between two silicon atoms, so the network runs on through the whole crystal.

OOOOOOOOOOOOOOOOOOOOOOOOSiSiSiSiSiSiSiSiSiGiant covalent networkeach Si bonded to 4 Oeach O bonded to 2 Siratio Si : O = 1 : 2, so SiO₂in 3-D the 4 O around each Siform a tetrahedronvery hard, melts at about 1700 °C,insoluble, does not conduct
The SiO₂ network, drawn flat.

Finding the ratio

  1. Each Si "owns" all 4 of its bonds but only half of each O (because each O is shared by two Si).
  2. So each Si has 4 × ½ = 2 oxygen atoms.
  3. Si : O = 1 : 2.

The formula is an empirical formula

Like the formula units of ionic compounds, SiO₂ is an empirical formula: it shows the simplest whole number ratio of atoms in the network, not a molecule. It can also be found by analysis: silica contains 46.7 % Si and 53.3 % O by mass; 46.7 ÷ 28 = 1.67 and 53.3 ÷ 16 = 3.33, a 1 : 2 ratio.

Exam tip

Diamond (C), graphite (C) and sand (SiO₂) are all networks: their formulas give the ratio of atoms only.

Set B: More important long questions 5 questions

Long questions often set in board papers from this chapter, answered in the same full style.

Imp. LQ 1

Define empirical formula and molecular formula. How is the molecular formula found from the empirical formula? Give examples.

Answer

Empirical formula

Empirical formula of a compound shows the simplest whole number ratio of atoms present in that compound. All the ionic compounds are represented by their empirical formulas, which show the simplest ratio between their ions: the empirical formula of calcium fluoride is CaF₂.

Molecular formula

A molecular formula shows all the types of atoms bonded together in one molecule of the compound, with their actual numbers: H₂O₂, C₆H₆, C₆H₁₂O₆.

Relation between the two

Molecular formula = n × (Empirical formula); n = Molar mass ÷ Empirical formula mass

If for a compound the value of n is one, its molecular formula is the same as its empirical formula (H₂O, CO₂, CH₄).

Example 1: hydrogen peroxide

Worked exampleEmpirical formula HO, molar mass 34
  1. Empirical formula mass = 1 + 16 = 17.
  2. n = 34 ÷ 17 = 2.
  3. Molecular formula = (HO)₂.

AnswerH₂O₂

Example 2: benzene

Worked exampleEmpirical formula CH, molecular mass 78 g mol⁻¹
  1. Empirical formula mass = 12 + 1 = 13.
  2. n = 78 ÷ 13 = 6.
  3. Molecular formula = (CH)₆.

AnswerC₆H₆

Example 3: glucose

Worked exampleEmpirical formula CH₂O, molar mass 180 g mol⁻¹
  1. Empirical formula mass = 12 + 2 + 16 = 30.
  2. n = 180 ÷ 30 = 6.
  3. Molecular formula = (CH₂O)₆.

AnswerC₆H₁₂O₆

Same empirical formula, different compounds

CompoundMolecular formulaEmpirical formula
AcetyleneC₂H₂CH
BenzeneC₆H₆CH
FormaldehydeCH₂OCH₂O
Acetic acidC₂H₄O₂CH₂O
GlucoseC₆H₁₂O₆CH₂O
Imp. LQ 2

How are the formulas of binary ionic compounds written? Explain the criss-cross method with examples.

Answer

Principle

In order to write down the formula of an ionic compound, first identify the cations and anions and the number of charges present on them. Finally combine the two ions together to form an electrically neutral compound.

Steps

  1. Write the symbol of the cation with its charge.
  2. Write the symbol of the anion with its charge.
  3. Cross the numerical value of each charge over to become the subscript of the other ion.
  4. Drop the signs; reduce to the simplest ratio; omit the subscript 1.
Lithium oxidecationanionLi1+O2−Li₂Osigns droppedAluminium oxidecationanionAl3+O2−Al₂O₃signs droppedMagnesium nitridecationanionMg2+N3−Mg₃N₂signs dropped
Criss-cross method.

Example 1: lithium oxide

Cation Li⁺, anion O²⁻. Crossing over gives Li₂O₁ → Li₂O (2 × +1 = +2; −2).

Example 2: aluminium oxide

Cation Al³⁺, anion O²⁻. Crossing over gives Al₂O₃ (+6, −6).

Example 3: magnesium nitride

Cation Mg²⁺, anion N³⁻. Crossing over gives Mg₃N₂ (+6, −6).

More examples

NameIonsFormula
Calcium chlorideCa²⁺, Cl⁻CaCl₂
Barium nitrideBa²⁺, N³⁻Ba₃N₂
Calcium phosphideCa²⁺, P³⁻Ca₃P₂
Magnesium oxideMg²⁺, O²⁻MgO
Iron(III) oxideFe³⁺, O²⁻Fe₂O₃
Note

Equal charges cancel out to a 1 : 1 formula (MgO, AlN); never write Mg₂O₂.

Imp. LQ 3

What is a chemical equation? What information does it give? Explain reversible and ionic equations.

Answer

Definition

Representing a chemical change in terms of symbols of elements and formulas of compounds is called a chemical equation. It tells us the elements or compounds which are reacting and those which are being produced. The reacting substances are called reactants and those produced are called products. Reactants are written on the left, products on the right, separated by an arrow.

Information from a balanced equation

  • The names and correct formulas of reactants and products.
  • The mole ratio between them, and through molar masses the mass ratio.
  • The direction of change.
  • The physical states (s, l, g, aq).
  • That mass is conserved: atoms of each kind are equal on both sides.
Zn(s) + H₂SO₄(aq) → ZnSO₄(aq) + H₂(g)

Reversible reactions

Sometimes a reaction moves both ways: the reactants react to give the products and the products, in turn, react to give the reactants back. Such reactions are called reversible reactions and are indicated by the sign ⇌.

N₂(g) + 3H₂(g) ⇌ 2NH₃(g)

Ionic equations

Reactions involving ions may also be shown as chemical equations. Both AgNO₃ and NaCl are ionic compounds and are soluble in water. When they are mixed in water they react; AgCl, being insoluble, comes out of the aqueous solution as a precipitate.

AgNO₃(aq) + NaCl(aq) → AgCl(s) + Na⁺(aq) + NO₃⁻(aq)
Ag⁺(aq) + Cl⁻(aq) → AgCl(s)
net ionic equation
Note

Ions that appear unchanged on both sides (Na⁺, NO₃⁻) are spectator ions and are left out of the net ionic equation.

Imp. LQ 4

Explain how calculations are made from a balanced chemical equation, with mass-mass, mole-mole and mass-particle examples.

Answer

Basis

A complete and balanced chemical equation tells us the mole ratio or molar mass ratio between the reactants and the products. With the help of this ratio we can find the masses of the products if we know the masses of the reactants, and vice versa.

CaCO₃+ 2HCl→ CaCl₂+ H₂O+ CO₂
moles12111
mass100 g73 g111 g18 g44 g

The total masses of the reactants are equal to the total masses of the products (173 g).

Mass-mass: Example 1

Worked example25 g of limestone with excess HCl: mass of CaCl₂
  1. 100 g CaCO₃ → 111 g CaCl₂.
  2. 1 g → 111 ÷ 100 g.
  3. 25 g → 111 ÷ 100 × 25 = 27.75 g.

Answer27.75 g CaCl₂

Mole-mole: Example 2

Worked example1.80 mol ethyl alcohol burnt: C₂H₅OH + 3O₂ → 2CO₂ + 3H₂O
  1. O₂ needed = 3 × 1.8 = 5.4 mol.
  2. CO₂ produced = 2 × 1.8 = 3.6 mol.

Answer5.4 mol O₂; 3.6 mol CO₂

Mole-mass: Example 3

Worked exampleO₂ for 0.3 mol Al: 4Al + 3O₂ → 2Al₂O₃
  1. 4 mol Al need 3 mol O₂.
  2. 0.3 mol Al need ¾ × 0.3 = 0.225 mol.
  3. Mass = 0.225 × 32 = 7.2 g.

Answer7.2 g O₂

Mass-particles: Example 4

Worked exampleWater molecules from 5 g H₂: 2H₂ + O₂ → 2H₂O
  1. 4 g H₂ → 36 g H₂O, so 5 g → 45 g.
  2. 18 g (1 mol) H₂O = 6.022 × 10²³ molecules.
  3. 45 g = 45 ÷ 18 = 2.5 mol = 2.5 × 6.022 × 10²³.

Answer1.505 × 10²⁴ molecules

Exam tip

Every problem has the same spine: balanced equation → convert to moles → use the coefficient ratio → convert to what is asked.

Imp. LQ 5

How is the molecular formula deduced from a structural formula? Give examples.

Answer

Steps

  1. Write down the structural formula of the compound.
  2. Count the number of atoms of each type in the structural formula.
  3. Write the symbols of all the elements.
  4. Write the total number of atoms of each kind as a subscript.
  5. Remove the subscript 1.
HOSOHOO2 H, 1 S, 4 OH₂SO₄HOPOHOHO3 H, 1 P, 4 OH₃PO₄CH₃–CH₂–CH₂–OH3 C, 8 H, 1 OC₃H₈O (C₃H₇OH)OCO⁻O⁻Ca²⁺CaCO₃
Structural formulas and the molecular formulas read from them.

Example 1: sulphuric acid

H–O–S(=O)(=O)–O–H has 2 H, 1 S and 4 O atoms. Molecular formula H₂SO₄.

Example 2: phosphoric acid

Phosphorus bonded to three OH groups and one =O: 3 H, 1 P, 4 O. Molecular formula H₃PO₄.

Example 3: n-propyl alcohol

CH₃–CH₂–CH₂–OH: 3 C, 8 H, 1 O. Molecular formula C₃H₈O (C₃H₇OH).

Example 4: calcium carbonate

One Ca²⁺ and one carbonate ion (C bonded to three O): CaCO₃. Being ionic, this is a formula unit.

End of Chapter 4 Long QuestionsNext: Chapter 4 Numericals →
4Chapter
Full guide: Stoichiometry (notes, diagrams, all questions, self-test)
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