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How many protons and how many neutrons does each of these isotopes of radon contain? (a) \(\quad\) Rn -210 (b) \(\quad \operatorname{Rn}-218\) (c) \(\quad R_{n}-222\)

Short Answer

Expert verified
86 protons for all isotopes; 124, 132, and 136 neutrons for Rn-210, Rn-218, and Rn-222 respectively.

Step by step solution

01

Define Key Terms

An isotope is a variant of an element that has the same number of protons but a different number of neutrons. In this exercise, we are looking at isotopes of radon (Rn).
02

Identify Atomic Number

The atomic number of radon (Rn) is 86. This means all isotopes of radon must contain 86 protons.
03

Calculate Neutrons for Rn-210

For Rn-210, the mass number is 210. The number of neutrons is calculated by subtracting the atomic number from the mass number: \[ \text{Neutrons in Rn-210} = 210 - 86 = 124 \]
04

Calculate Neutrons for Rn-218

For Rn-218, the mass number is 218. The number of neutrons is:\[ \text{Neutrons in Rn-218} = 218 - 86 = 132 \]
05

Calculate Neutrons for Rn-222

For Rn-222, the mass number is 222. The number of neutrons is:\[ \text{Neutrons in Rn-222} = 222 - 86 = 136 \]

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Isotopes
Isotopes are different forms of the same element that share the same number of protons but have a different number of neutrons. This means that the isotopes of an element have identical atomic numbers but different mass numbers. The atomic number defines the element, as it represents the number of protons in the nucleus.
Isotopes are important in nuclear chemistry because some have unique properties, such as radioactivity, which can be used in medical imaging or treatments. In this exercise, we are dealing with isotopes of radon. Radon is a noble gas with the atomic number 86, meaning each isotope of radon contains 86 protons. The variation in the number of neutrons gives rise to different isotopes, such as Rn-210, Rn-218, and Rn-222.
Atomic Number
The atomic number of an element is a fundamental property that characterizes the element. It is equivalent to the number of protons found in the nucleus of an atom. The atomic number helps distinguish one element from another. For example, radon, with an atomic number of 86, contains precisely 86 protons in its atomic structure, irrespective of its isotopic form.
Given that protons carry a positive charge, the atomic number also dictates the amount of positive charge in the nucleus, affecting how the element interacts chemically. Understanding the atomic number is crucial in nuclear chemistry, particularly when identifying different isotopes, as the atomic number remains constant among isotopes of the same element.
Mass Number
The mass number of an isotope is the total count of both protons and neutrons in an atom's nucleus. Unlike the atomic number, which only counts protons, the mass number varies because it also depends on the number of neutrons, which can differ between isotopes. For example, in the radon isotopes we explored, Rn-210, Rn-218, and Rn-222, the mass number is 210, 218, and 222, respectively.
The mass number is used to distinguish between different isotopes of an element. In practical terms, to find the number of neutrons in any given isotope, you subtract the atomic number from the mass number. For instance, for radon isotopes:
  • Rn-210 has 124 neutrons.
  • Rn-218 has 132 neutrons.
  • Rn-222 has 136 neutrons.
Understanding mass numbers helps in the study of atomic structure, nuclear reactions, and radioactivity.
Neutrons
Neutrons are subatomic particles found in the atomic nucleus, alongside protons. They have no electrical charge, distinguishing them from the positively charged protons. Neutrons play a critical role in stabilizing the nucleus, especially in larger atoms where positive proton repulsions need balance.
To determine the number of neutrons in an isotope, you subtract the atomic number from the mass number. In our examples of radon isotopes, the calculations show how each isotope differs in neutron count:
  • For Rn-210: 210 (mass number) - 86 (atomic number) = 124 neutrons.
  • For Rn-218: 218 - 86 = 132 neutrons.
  • For Rn-222: 222 - 86 = 136 neutrons.
Neutrons are crucial for understanding isotope stability and are a key focus in nuclear chemistry for their role in nuclear reactions and isotope formation.

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Most popular questions from this chapter

Write the formulas of compounds in which the combining ratios are as follows: (a) Sodium: hydrogen:carbon:oxygen, 1: 1: 1: 3 (b) Carbon:hydrogen:oxygen, 2: 6: 1 (c) Potassium: manganese:oxygen, 1: 1: 4

Answer true or false. (a) Matter is divided into elements and pure substances. (b) Matter is anything that has mass and volume (occupies space). (c) A mixture is composed of two or more pure substances. (d) An element is a pure substance. (e) A heterogeneous mixture can be separated into pure substances, but a homogeneous mixture cannot. (f) \(\quad\) A compound consists of elements combined in a fixed ratio. (g) A compound is a pure substance. (h) All matter has mass. (i) All of the 118 known elements occur naturally on Earth. (j) The first six elements in the Periodic Table are the most important for human life. (k) The combining ratio of a compound tells you how many atoms of each element are combined in the compound. (1) The combining ratio of 1: 2 in the compound \(\mathrm{CO}_{2}\) tells you that this compound is formed by the combination of one gram of carbon with two prams of oxygen.

Answer true or false. (a) Mendeleyev discovered that when elements are arranged in order of increasing atomic weight, certain sets of properties recur periodically. (b) Main-group elements are only those in the columns \(3 \mathrm{A}\) to \(8 \mathrm{A}\) of the Periodic Table. (c) Nonmetals are found at the top of the Periodic Table, metalloids in the middle, and metals at the bottom. (d) Among the 118 known elements, there are approximately equal numbers of metals and nonmetals. (e) A horizontal row in the Periodic Table is called a group. (f) The Group 1A elements are called the "alkali motals." (g) The alkali metals react with water to give hydrogen gas and a metal hydroxide, MOH, where "M" is the metal. (h) The halogens are Group 7 A elements. (i) The boiling points of noble gases (Group \(8 \mathrm{A}\) elements) increase going from top to bottom of the column.

Answer true or false. (a) To say that "energy is quantized" means that only certain energy values are allowed. (b) Bohr discovered that the energy of an electron in an atom is quantized. (c) Electrons in atoms are confined to regions of space called "principal energy levels." (d) Each principal energy level can hold a maximum of two electrons. (e) An electron in a 1 s orbital is held closer to the nucleus than an electron in a \(2 s\) orbital. (f) An electron in a 2s orbital is harder to remove from an atom than an electron in a 1 s orbital. (g) An sorbital has the shape of a sphere, with the nucleus at the center of the sphere. (h) Each \(2 p\) orbital has the shape of a dumbbell, with the nucleus at the midpoint of the dumbbell. (i) The three \(2 p\) orbitals in an atom are aligned parallel to each other. (j) An orbital is a region of space that can hold two electrons. (k) The second shell contains one \(s\) orbital and three \(p\) orbitals. (1) In the ground-state electron configuration of an atom, only the lowest- energy orbitals are occupied. \((\mathrm{m}) \mathrm{A}\) spinning electron behaves as a tiny bar magnet, with a North Pole and a South Pole. (n) An orbital can hold a maximum of two electrons with their spins paired. (o) Paired electron spins means that the two electrons are aligned with their spins North Pole to North Pole and South Pole to South Pole. (p) \(A n\) orbital box diagram puts all of the electrons of an atom in one box with their spins aligned. (q) An orbital box diagram of a carbon atom shows two unpaired electrons. (r) A Lewis dot structure shows only the electrons in the valence shell of an atom of the element. (s) A characteristic of Group 1A elements is that each has one unpaired electron in its outermost occupied (valence) shell. (t) A characteristic of Group 6A elements is that each has six unpaired electrons in its valence shell.

Which group(s) of the Periodic Table contain(s): (a) Only metals? (b) Only metalloids? (c) Only nonmetals?

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