Chapter 1: Problem 66
Write isotopic symbols in the form AZ X for each isotope. a. the copper isotope with 34 neutrons b. the copper isotope with 36 neutrons c. the potassium isotope with 21 neutrons d. the argon isotope with 22 neutrons
Short Answer
Expert verified
a. \(^{63}_{29}Cu\) b. \(^{65}_{29}Cu\) c. \(^{40}_{19}K\) d. \(^{40}_{18}Ar\)
Step by step solution
01
Identify the atomic number of Copper
The atomic number of copper (Cu) is the number of protons in the nucleus of a copper atom. This number is constant for all copper isotopes. Copper has an atomic number of 29.
02
Calculate the mass number for the copper isotope with 34 neutrons
The mass number (A) is the total number of protons and neutrons in the nucleus. For copper with 34 neutrons, A = number of protons (29) + number of neutrons (34) gives us the mass number A = 63.
03
Write the isotopic symbol for the copper isotope with 34 neutrons
Using the format \(A Z X\), where A is mass number, Z is atomic number, and X is the chemical symbol, the isotopic symbol for this copper isotope is \(^{63}_{29}Cu\).
04
Calculate the mass number for the copper isotope with 36 neutrons
Similar to Step 2, for copper with 36 neutrons, A = 29 protons + 36 neutrons gives us the mass number A = 65.
05
Write the isotopic symbol for the copper isotope with 36 neutrons
The isotopic symbol is \(^{65}_{29}Cu\).
06
Identify the atomic number of Potassium
Potassium (K) has an atomic number of 19.
07
Calculate the mass number for the potassium isotope with 21 neutrons
For potassium with 21 neutrons, the mass number A = 19 protons + 21 neutrons gives us A = 40.
08
Write the isotopic symbol for the potassium isotope with 21 neutrons
The isotopic symbol is \(^{40}_{19}K\).
09
Identify the atomic number of Argon
Argon (Ar) has an atomic number of 18.
10
Calculate the mass number for the argon isotope with 22 neutrons
For argon with 22 neutrons, the mass number A = 18 protons + 22 neutrons gives us A = 40.
11
Write the isotopic symbol for the argon isotope with 22 neutrons
The isotopic symbol is \(^{40}_{18}Ar\).
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Atomic Number
The atomic number is a fundamental characteristic of an element and defines its position in the periodic table. This number represents the number of protons found in the nucleus of an atom of the element. Since protons carry a positive charge, the atomic number also determines the electrical charge of the nucleus, which in turn influences the chemical properties of the element. For example, copper has an atomic number of 29, meaning every copper atom contains 29 protons in its nucleus, regardless of the isotope. Understanding the atomic number is crucial for identifying elements and writing isotopic symbols.
It's essential to keep in mind that the atomic number is unique to each element. This uniqueness ensures that even with different numbers of neutrons, no two elements can have the same atomic number. In educational materials, the atomic number is often represented at the lower left side of the element's symbol when writing isotopic notations.
It's essential to keep in mind that the atomic number is unique to each element. This uniqueness ensures that even with different numbers of neutrons, no two elements can have the same atomic number. In educational materials, the atomic number is often represented at the lower left side of the element's symbol when writing isotopic notations.
Mass Number
The mass number, often symbolized as 'A', represents the total number of protons and neutrons in an atom's nucleus. Protons and neutrons are nearly equal in mass, and together, they make up the bulk of the atom's mass. For instance, in the case of the copper isotope with 34 neutrons, we add the number of neutrons to the atomic number of copper (which is 29) to get a mass number of 63.
The mass number is a whole number and changes with each isotope of an element due to the varying number of neutrons. Unlike the atomic number, the mass number does not appear in the periodic table, as it differs for each isotope. When fueling your curiosity about elements, it becomes clear that knowing the mass number helps in differentiating between isotopes of the same element. You can traditionally find the mass number written at the upper left side of the element's symbol.
The mass number is a whole number and changes with each isotope of an element due to the varying number of neutrons. Unlike the atomic number, the mass number does not appear in the periodic table, as it differs for each isotope. When fueling your curiosity about elements, it becomes clear that knowing the mass number helps in differentiating between isotopes of the same element. You can traditionally find the mass number written at the upper left side of the element's symbol.
Chemical Symbol
A chemical symbol is a one or two-letter abbreviation of an element's name, derived primarily from its English or Latin name. This symbol allows scientists to communicate about elements and compounds without ambiguity. For instance, 'Cu' stands for copper, 'K' for potassium, and 'Ar' for argon. These symbols serve as an international language in the scientific community, making the study of chemistry universally comprehensible.
When delving deeper into chemical symbols, we find that they are not only shorthand for the name of the element, but they also convey a wealth of information in scientific formulas and equations. Furthermore, in isotopic symbols, the chemical symbol is central, with the atomic and mass numbers providing additional information on each side of it.
When delving deeper into chemical symbols, we find that they are not only shorthand for the name of the element, but they also convey a wealth of information in scientific formulas and equations. Furthermore, in isotopic symbols, the chemical symbol is central, with the atomic and mass numbers providing additional information on each side of it.
Neutrons in Isotopes
Isotopes are variants of a particular chemical element that have the same number of protons but different numbers of neutrons in their nuclei. This difference in neutron number leads to variations in mass number between isotopes. For instance, copper with 34 neutrons is an isotope different from copper with 36 neutrons. The copper atoms still have the same amount of protons (29), which keeps their chemical properties similar, but their mass numbers will be 63 and 65, respectively.
Understanding neutrons in isotopes is crucial for grasping radioactive decay processes, nuclear reactions, and applications such as carbon dating. Additionally, isotopes can have stable or unstable nuclei, with the latter leading to radioactivity. Due to their unique properties, isotopes are valuable in various fields including medicine, archaeology, and geology.
Understanding neutrons in isotopes is crucial for grasping radioactive decay processes, nuclear reactions, and applications such as carbon dating. Additionally, isotopes can have stable or unstable nuclei, with the latter leading to radioactivity. Due to their unique properties, isotopes are valuable in various fields including medicine, archaeology, and geology.