Respuesta :
The number of protons in [tex]_{\mathbf{6}}^{{\mathbf{13}}}{\mathbf{C}}[/tex] is [tex]\boxed6[/tex].
The number of neutrons in [tex]_{\mathbf{6}}^{{\mathbf{13}}}{\mathbf{C}}[/tex] is [tex]\boxed7[/tex].
The number of electrons in [tex]_{\mathbf{6}}^{{\mathbf{13}}}{\mathbf{C}}[/tex] is [tex]\boxed6[/tex].
Further explanation:
The smallest particle that is the building block of matter is known as an atom. Most of the space in an atom is empty, and its mass is concentrated inside a small region called the nucleus.
An atom is written as [tex]_{\text{Z}}^{\text{A}}{\text{X}}[/tex] , where A is the mass number, Z is the atomic number and X is the letter symbol of the element.
Protons, electrons, and neutrons are the three subatomic particles that are present in the atom. The Protons and neutrons present in an atom are collectively called nucleons because these are located in the nucleus of the atom. Electrons revolve around the nucleus in definite orbits.
The positively charged subatomic particle is called proton. It is equal to the atomic number (Z) of the element.
Electron is the negatively charged subatomic particle. The number of electrons present in an atom is equal to the number of protons of an atom in a neutral atom.
The subatomic particle with no charge is called neutron. It is situated within the nucleus. The number of neutrons present in the nucleus of an atom is called the neutron number. Atomic mass or mass number is the total number of nucleons within the atomic nucleus. So if the atomic number or the proton number is known, the number of neutrons can be calculated by the difference of mass number (A) and atomic number (Z).
Given element is [tex]_{\text{6}}^{{\text{13}}}{\text{C}}[/tex]. By comparing it with the general representation of an atom [tex]\left({_{\text{Z}}^{\text{A}}{\text{X}}}\right)[/tex] , it is clear that the given atom carbon has atomic number 6 and mass number 13.
As we know, the number of protons is equal to the atomic number of the element. So number of protons in [tex]_{\text{6}}^{{\text{13}}}{\text{C}}[/tex] is 6.
The number of electrons is equal to number of protons in a neutral atom. So number of electrons in [tex]_{\text{6}}^{{\text{13}}}{\text{C}}[/tex] is also 6.
The number of neutrons present in the carbon atom can be calculated as follows:
Number of neutrons = Mass number (A) –Atomic number (Z)
Substitute 13 for mass number and 6 for the atomic number in the above equation, we get:
[tex]\begin{aligned}{\text{Number of neutrons}}&=13 - 6\\&=7\\\end{aligned}[/tex]
So the number of protons, electrons, and neutrons in [tex]_{\mathbf{6}}^{{\mathbf{13}}}{\mathbf{C}}[/tex] are 6, 6, and 7 respectively.
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Answer details:
Grade: High School
Subject: Chemistry
Chapter: Structure of the atom
Keywords: subatomic particle, proton, electron, neutron, mass, positively charged, neutral, negatively charged, atomic number, mass number, no charge, building block, matter, atom, nucleus, 6, 7, 6, A, Z.

The number of proton, neutron, and electron is 6, 7 and 6 respectively in [tex]\rm \bold{ ^1^3C_6}[/tex] .
[tex]\rm \bold{ ^1^3C_6}[/tex] - is the isotope of Carbon. Where 13 is the atomic mass and 6 represents atomic number.
Isotope:
It is the form of an atom with different number of atomic mass.
Atomic mass:
It is the some of neutron and proton.
Atomic number :It is the number of proton in an atom.
Hence, we can conclude that the number of proton, neutron, and electron is 6, 7 and 6 respectively in [tex]\rm \bold{ ^1^3C_6}[/tex] .
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