These questions appear inside the chapter itself, not at the end. The book page number is shown against each one so you can find it while reading.
Suppose you made up your own ‘atom’, as Thomson described, using clay for the positive charge and small beads for the electrons spread through it. What will happen if:
In Thomson’s model an atom is electrically neutral only because the positive charge of the sphere is exactly equal to the total negative charge of the electrons embedded in it. Both parts of the question disturb this balance.
So a Thomson-style model is neutral only when the positive charge and the total negative charge are exactly equal.
Could an orange or a lemon, which also contain seeds inside soft pulp, be a good comparison? In what ways does it match Thomson’s idea and where does it fall short?
An orange or a lemon is a partly useful comparison, much like the watermelon in the book.
Where it matches Thomson’s idea:
Where it falls short:
Why did Thomson conclude that electrons are present in all atoms?
Thomson studied cathode rays in tubes filled with gases at very low pressure. He found that the nature of the cathode rays was the same whatever material the cathode was made of and whatever gas was filled in the tube. The rays were always streams of the same tiny, negatively charged particles (electrons), with a mass much smaller than that of an atom.
Since every material tried gave out exactly the same particles, these particles could not belong to just one kind of substance. They had to be a common part of the atoms of every element. That is why Thomson concluded that electrons are a fundamental component present in all atoms.
What do you think would happen if α-particles were replaced with negatively charged particles in Rutherford’s gold foil experiment?
α-particles are positive, so the positive nucleus repels them. This repulsion is what pushed a few of them away at large angles and even sent some straight back.
If negatively charged particles were used instead:
So the experiment would not give the sharp, clear evidence of a small, positively charged, dense nucleus that the α-particle experiment gave. Using positive particles was essential to Rutherford’s discovery.
Rutherford found that a few α-particles bounced back sharply. How does this single surprising result completely rule out Thomson’s ‘plum pudding model’ of the atom?
An α-particle is positively charged, fairly heavy and moves very fast. To turn such a particle completely around, it must meet a very strong repelling force concentrated at one point, from something heavier than itself.
In Thomson’s plum pudding model, the positive charge and the mass are spread evenly through the whole atom. A spread-out charge can only give a weak push from every side, so a fast α-particle would pass through with at most a slight deflection. The light electrons are far too small to stop or turn back an α-particle.
So in Thomson’s atom nothing could make an α-particle bounce back. Even a few bouncing back proves that the atom contains a tiny region where all the positive charge and most of the mass are packed together — the nucleus. This one result cannot be explained by the plum pudding model at all, so the model had to be rejected.
If you could ask Rutherford one question about his work, what would it be?
This is an open, personal question — any thoughtful question about his work is a good answer. A strong question usually points at something his model could not explain. Some examples:
Any one such question, with a reason for asking it, is a complete answer.
Assertion (A): Rutherford concluded that most of the mass of an atom is concentrated in a small region at the centre called the nucleus.
Reason (R): According to Thomson’s model, electrons are embedded in a uniformly distributed positive charge sphere.
Choose the correct option:
Correct option: (ii) — both A and R are true, but R is not the correct explanation of A.
Imagine you are a scientist who has discovered a new element. Name this element after yourself and justify that the symbol you have chosen follows the IUPAC rules.
Every student’s answer will use their own name. Here is a worked example for a student named Ananya.
Name: Ananyium Symbol: An
Why the symbol follows the rules:
What problems could arise if every scientist used different symbols for the same element?
This is why IUPAC approves one standard name and symbol for every element.
An atom with an atomic number of 26 has 56 nucleons. Find out its number of electrons, protons and neutrons.
Given: atomic number \(Z = 26\), and the number of nucleons (protons + neutrons) is the mass number \(A = 56\).
Protons: the atomic number equals the number of protons.
Electrons: an atom is neutral, so the number of electrons equals the number of protons.
Neutrons:
So the atom has 26 electrons, 26 protons and 30 neutrons. (Atomic number 26 is iron, Fe.)
The nucleus of an atom contains 20 protons. If its mass number is 41, find the number of neutrons in it.
Mass number = number of protons + number of neutrons, so
The nucleus has 21 neutrons. (20 protons means atomic number 20, i.e. calcium.)
An atom has 18 neutrons and an atomic number of 17. What is its mass number?
Atomic number 17 means the atom has 17 protons. Mass number is the total number of protons and neutrons:
The mass number is 35. (This is chlorine-35.)
An atom \({}^{23}\text{A}\) has 11 electrons. Find the number of neutrons in it.
The superscript 23 is the mass number: \(A = 23\).
A neutral atom has as many protons as electrons, so it has 11 protons (atomic number 11).
The atom has 12 neutrons. (Atomic number 11 is sodium.)
Identify the number of electrons in the outermost shell of the following elements:
The lower number is the atomic number, which equals the number of electrons in a neutral atom. Fill the shells in order: K holds at most 2, L at most 8, then M.
The upper numbers (mass numbers 12, 19, 28) do not affect the electron arrangement.
Write the electronic configuration of the elements having atomic numbers 12, 16 and 18.
Number of electrons = atomic number. Fill K (max 2), then L (max 8), then M.
| Atomic number (element) | Electronic configuration (K, L, M) |
|---|---|
| 12 (magnesium, Mg) | 2, 8, 2 |
| 16 (sulfur, S) | 2, 8, 6 |
| 18 (argon, Ar) | 2, 8, 8 |
Solve this riddle: I am an atom with a mass number of 23 and 11 protons. I am a soft metal and react vigorously with water. Who am I and how many neutrons do I have? You can also create one such riddle.
11 protons means atomic number 11, which is sodium (Na) — a soft metal that can be cut with a knife and reacts vigorously with water.
I am sodium, and I have 12 neutrons.
A riddle of my own: “I have 8 protons and 8 neutrons. You breathe me in all day, and I make up about one-fifth of the air. My electrons are arranged as 2, 6. Who am I?” Answer: oxygen, \({}^{16}_{8}\text{O}\).
Two different atoms have 11 protons each, but one has 12 neutrons, and the other has 13 neutrons. How do their atomic numbers and mass numbers compare? Are they the same element or different elements?
Atomic numbers: both have 11 protons, so both have atomic number 11 — the same.
Mass numbers:
The mass numbers are different (23 and 24).
Because the atomic number decides the identity of an element, both atoms are the same element — sodium. Atoms of the same element with different mass numbers are called isotopes: these are \({}^{23}_{11}\text{Na}\) and \({}^{24}_{11}\text{Na}\). They have the same chemical properties (same electrons, 2, 8, 1) but slightly different masses.
If a bromine atom is available in the form of, say two isotopes, \({}^{79}_{35}\text{Br}\) (49.7%) and \({}^{81}_{35}\text{Br}\) (50.3%), calculate the average atomic mass of the bromine atom.
The average atomic mass is the weighted average: multiply the mass of each isotope by its fraction in nature and add.
Quick check: the two percentages add to 100, so we can also write the average as 79 u plus the extra 2 u carried by the heavier isotope’s share:
The average atomic mass of bromine is 80.006 u (about 80 u). It is almost exactly halfway between 79 and 81 because the two isotopes are present in almost equal amounts.
Choose the correct options and explain the reason for the correct and incorrect options in the context of Ernest Rutherford’s gold foil experiment:
Correct options: (ii) and (iii).
Which of the following statements are correct or incorrect according to the Bohr’s atomic model? Give a reason for each statement.
The composition of the nuclei of three atomic species X, Y, and Z are given as follows.
| X | Y | Z | |
|---|---|---|---|
| Number of protons | 18 | 17 | 17 |
| Number of neutrons | 19 | 18 | 20 |
Explain the relation between the following:
(Here X, Y and Z are just the names of the three atoms, not atomic numbers.) First work out the atomic number (= protons) and mass number (= protons + neutrons) of each:
What conclusion did Rutherford draw about the position and characteristics of the atom’s positively charged part based on the few alpha particles that bounced back or were deflected at large angles in the gold foil experiment?
Rutherford concluded that the positive charge of the atom is not spread throughout the atom but is concentrated in a tiny central region, which he called the nucleus.
Since most α-particles passed straight through, he also concluded that the rest of the atom is mostly empty space.
Explain and arrange the following statements in the correct chronological order to show how atomic models have evolved over time.
Correct order: (iv) → (ii) → (iii) → (i)
Each model was replaced when new experiments showed something it could not explain.
Electrons move around the nucleus in orbits. Why do they not fly away from the atom? Explain what keeps them attracted to the nucleus.
Electrons are negatively charged and the nucleus is positively charged (it contains the protons). Unlike charges attract, so there is a strong electrostatic force of attraction between the nucleus and every electron. This pull always acts towards the nucleus.
An electron moving in a circular orbit keeps changing its direction. A force pulling it towards the centre is exactly what is needed to keep bending its path into a circle — just as the Sun’s gravitational pull keeps the planets in their orbits, or the string keeps a whirling stone moving in a circle. Without this attraction the electron would move off in a straight line and leave the atom.
So the attraction between the positive nucleus and the negative electrons holds the electrons in the atom. At the same time, according to Bohr, an electron in its fixed orbit does not lose energy, so it does not fall into the nucleus either — it keeps revolving in its shell.
Assertion (A): The discovery of subatomic particles helped in understanding the atomic structure.
Reason (R): The number of electrons is equal to the number of protons in an atom.
Choose the correct option:
Correct option: (ii) — both A and R are true, but R is not the correct explanation of A.
Magnesium is essential for many biological processes, including muscle contraction. For an atom of magnesium with a mass number of 24 and atomic number 12, determine the number of (i) protons, (ii) neutrons, (iii) electrons, and also illustrate the arrangement of electrons in a magnesium atom.
Given: \(A = 24\) and \(Z = 12\).
Arrangement of electrons: 12 electrons fill K (2), then L (8), and the remaining 12 − 10 = 2 go into M. So the electronic configuration is 2, 8, 2:
Magnesium has 2 valence electrons, which it loses easily, so its valency is 2 (as in MgCl2).
Find the following information for the elements shown in Fig. 8.17:
Method: count the electrons in each shell. The total number of electrons equals the number of protons and the atomic number (the atom is neutral); the atomic number tells us the element. The electrons in the outermost shell are the valence electrons. Valency = valence electrons if there are 1 to 4 of them (they are lost or shared), and 8 − valence electrons if there are 5 to 7 (electrons are gained).
| Atom | Element | Symbol | K, L, M |
|---|---|---|---|
| (a) | Lithium | Li | 2, 1 |
| (b) | Nitrogen | N | 2, 5 |
| (c) | Aluminium | Al | 2, 8, 3 |
| (d) | Fluorine | F | 2, 7 |
| Atom | Z = p = e | Valence e | Valency |
|---|---|---|---|
| (a) Li | 3 | 1 | 1 |
| (b) N | 7 | 5 | 3 |
| (c) Al | 13 | 3 | 3 |
| (d) F | 9 | 7 | 1 |
Both Rutherford’s and Bohr’s models have electrons orbiting the nucleus. Why did Rutherford’s model fail to explain atomic stability, while Bohr’s model succeeded?
Why Rutherford’s model failed: an electron moving in a circle keeps changing direction, so it is accelerating. A charged particle that accelerates should keep losing energy. Losing energy, the electron would spiral inwards and finally fall into the nucleus (Fig. 8.6), so the atom would collapse. But real atoms are stable. Rutherford’s model had no way to stop this energy loss, so it could not explain stability.
Why Bohr’s model succeeded: Bohr proposed (as a postulate) that electrons can move only in certain fixed orbits, or stationary states, each with a definite energy. While an electron stays in such an orbit it does not lose energy, so it does not spiral into the nucleus. Its energy changes only when it jumps from one shell to another by absorbing or releasing a fixed amount of energy.
So the difference is the idea of stationary states: Bohr’s electrons keep constant energy in allowed orbits, while Rutherford’s electrons would continuously lose energy and crash into the nucleus.
An atom \({}^{70}\text{X}\) has 31 electrons. How many neutrons are there in its nucleus?
The mass number is \(A = 70\). A neutral atom with 31 electrons has 31 protons, so its atomic number is 31.
There are 39 neutrons in its nucleus. (Atomic number 31 is gallium.)
An atom has 79 protons and a mass number of 197. Calculate (i) the number of neutrons, and (ii) the number of electrons.
(79 protons means atomic number 79: this is gold, \({}^{197}_{79}\text{Au}\) — the metal used in Rutherford’s foil.)
Complete the Table 8.5. (Shown here row by row; “–” means the value is to be found.)
Use three facts: atomic number = protons = electrons (neutral atom); mass number = protons + neutrons; and the atomic number tells us the element.
Completed Table 8.5 — Z = atomic number (= number of protons = number of electrons), A = mass number, n = number of neutrons:
| Element | Z | A | n |
|---|---|---|---|
| Boron | 5 | 11 | 6 |
| Nitrogen | 7 | 14 | 7 |
| Magnesium | 12 | 24 | 12 |
| Phosphorus | 15 | 31 | 16 |
| Hydrogen | 1 | 1 | 0 |
Aman was discussing the structure of atom with his classmates. During the discussion, he learnt that an element X has a mass number of 35 and contains 18 neutrons. Based on this information, answer the following questions:
In an atom, there are 12 protons and 12 neutrons in the nucleus. Now, imagine that all the electrons are replaced with some hypothetical particles that have the same charge as electrons but are 500 times heavier. What effect will this replacement have on the atom’s:
The atom has 12 protons, so it is magnesium with 12 electrons and mass number 12 + 12 = 24. The 12 electrons are replaced by 12 heavier particles with the same charge.
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