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Another isotope of carbon, carbon-14, occurs in nature but in such small amounts relative to carbon-12 and carbon-13 that it does not contribute to the atomic weight of carbon as recorded in the Periodic Table. Carbon-14 is invaluable in the science of radiocarbon dating (see Chemical Connections \(9 \mathrm{A}\) ). Give the number of protons, neutrons, and electrons in an atom of carbon-14.

Short Answer

Expert verified
Carbon-14 has 6 protons, 8 neutrons, and 6 electrons.

Step by step solution

01

Determine the Atomic Number

The atomic number of carbon, which is the number of protons in the nucleus, is 6. This information is found directly on the Periodic Table.
02

Identify the Mass Number

Carbon-14 refers to an isotope of carbon with a mass number of 14. This number represents the total number of protons and neutrons in the atom.
03

Calculate the Number of Neutrons

The number of neutrons is calculated using the mass number and the atomic number. Subtract the atomic number (number of protons) from the mass number: \(14 - 6 = 8\). Thus, carbon-14 has 8 neutrons.
04

Find the Number of Electrons

In a neutral atom, the number of electrons is equal to the number of protons. Therefore, carbon-14 has 6 electrons.

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Key Concepts

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

Carbon-14
Carbon-14 is an intriguing isotope of the element carbon. Unlike the more prevalent carbon isotopes, such as carbon-12, carbon-14 is present in minute quantities. Despite its scarcity, it plays a crucial role in various scientific fields. One of the most notable applications of carbon-14 is in the process called radiocarbon dating. This isotope is characterized by a mass number of 14, which signifies the collective number of protons and neutrons in its nucleus. Carbon-14 has the same atomic number as other carbon isotopes, indicating it possesses six protons. Yet, what sets it apart is its additional number of neutrons, specifically eight, making up the remainder of its mass number.
Atomic Number
The atomic number is a fundamental property of elements and is crucial in distinguishing one element from another. For carbon, including its isotopes like carbon-14, the atomic number is 6. This means that every carbon atom possesses exactly six protons in its nucleus. The atomic number is typically found on the top of the element's square on the Periodic Table. These protons carry a positive charge, corresponding to the number of electrons around the nucleus in a neutral atom. Therefore, in carbon-14, the number of electrons is equal to the number of protons, which is also six.
Mass Number
The mass number of an atom is a vital detail that represents the sum of protons and neutrons within its nucleus. In carbon-14, the mass number is 14. This is derived from its composition of six protons and eight neutrons.
  • Protons: Always matches the atomic number, so for carbon, there are 6.
  • Neutrons: Calculated by subtracting the atomic number from the mass number, leading to 8 neutrons in the case of carbon-14.
The mass number is different from the atomic mass, which is often a decimal and represents a weighted average of all isotopes of an element found in nature.
Radiocarbon Dating
Radiocarbon dating, a method heavily reliant on the carbon-14 isotope, is an essential tool for archaeologists and geologists. This process measures the amount of carbon-14 left in an archaeological sample to estimate its age. Carbon-14 is a radioactive isotope; it decays at a predictable rate known as its half-life, which is approximately 5730 years.
  • How It Works: Living organisms constantly take in carbon, including carbon-14, balancing proportions with the atmosphere.
  • Post-Death Decay: Once an organism dies, it no longer absorbs carbon, and the carbon-14 begins to decay steadily.
  • Age Estimation: By measuring the remaining carbon-14 in a sample, scientists can determine the time elapsed since the organism's death.
Radiocarbon dating has helped in dating artifacts, fossils, and remains as far back as 50,000 years, providing critical insights into our past.

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Most popular questions from this chapter

Write the condensed ground-state electron configuration for each of the following elements. The element's atomic number is given in parentheses. (a) He (2) (b) \(\quad\) Na (11) (c) \(\mathrm{Cl}(17)\) (d) \(P(15)\) (e) \(\mathrm{H}(1)\)

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.

What is the mass number of an atom with: (a) 22 protons, 22 electrons, and 26 neutrons? (b) 76 protons, 76 electrons, and 114 neutrons? (c) 34 protons, 34 electrons, and 45 neutrons? (d) 94 protons, 94 electrons, and 150 neutrons?

Given your answer to Problem \(44,\) write the Lewis dot structure for each of the following elements using no information other than the number of the group in the Periodic Table to which the element belongs. (a) Carbon (4A) (b) Silicon (4A) (c) Oxygen (6A) (d) Sulfur (6A) (e) Aluminum (3A) (f) Bromine (7A)

Determine the number of protons, electrons, and neutrons present in: (a) \(32 \mathrm{P}\) (b) \(95 \mathrm{Mo}\) (c) \(44 \mathrm{Ca}\) (d) \(^{3} \mathrm{H}\) (e) \(158 \mathrm{Gd}\) (f) \(212 \mathrm{Bi}\)

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