
Write the value of charge (in coulombs) on the nucleus of $_7{N^{14}}$ .
Answer
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Hint Use the formula of the total charge on the nucleus given below and substitute the constant value of the electronic charge and the atomic number in it. The simplification of the above substituted terms provides the answer for the charge on the nucleus.
Useful formula
The formula of the charge is given by
$q = Ze$
Where $q$ is the charge on the nucleus, $Z$ is the atomic number and the $e$ is the charge of the electron.
Complete step by step solution
It is given as the element of nitrogen. The mass number is placed at the top of the element and its value is $14$ . This includes the number of neutrons and the number of the protons. The atomic number is represented below the element. It represents the number of the protons or the number of the neutrons. In order to find the value of the charge on the nucleus of the nitrogen molecule, the formula of the charge is taken,
$q = Ze$
Substitute the value of the $Z$ and the $e$ . The $Z = 7$ and the value of the one electronic charge is $1.6 \times {10^{ - 19}}$ ,
$q = 7 \times 1.6 \times {10^{ - 19}}$
By performing the multiplication in the right hand side of the equation, we get
$q = 11.2 \times {10^{ - 19}}\,C$
Hence the value of the charge of the element $_7{N^{14}}$ is $11.2 \times {10^{ - 19}}\,C$.
Note The total charge on the nucleus of the nitrogen atoms calculated from the above solution represents the charge or the force that is responsible to hold the electrons that revolve around it. This charge depends on the number of the electrons that revolve it.
Useful formula
The formula of the charge is given by
$q = Ze$
Where $q$ is the charge on the nucleus, $Z$ is the atomic number and the $e$ is the charge of the electron.
Complete step by step solution
It is given as the element of nitrogen. The mass number is placed at the top of the element and its value is $14$ . This includes the number of neutrons and the number of the protons. The atomic number is represented below the element. It represents the number of the protons or the number of the neutrons. In order to find the value of the charge on the nucleus of the nitrogen molecule, the formula of the charge is taken,
$q = Ze$
Substitute the value of the $Z$ and the $e$ . The $Z = 7$ and the value of the one electronic charge is $1.6 \times {10^{ - 19}}$ ,
$q = 7 \times 1.6 \times {10^{ - 19}}$
By performing the multiplication in the right hand side of the equation, we get
$q = 11.2 \times {10^{ - 19}}\,C$
Hence the value of the charge of the element $_7{N^{14}}$ is $11.2 \times {10^{ - 19}}\,C$.
Note The total charge on the nucleus of the nitrogen atoms calculated from the above solution represents the charge or the force that is responsible to hold the electrons that revolve around it. This charge depends on the number of the electrons that revolve it.
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