1) Estimated positive charge due to protons in a human body: [tex]3.4\cdot 10^9 C[/tex]
2) Average net charge in a human body: zero
Explanation:
1)
Let's assume a human body with mass m = 70 kg. In order to simplify calculation, we will assume that the body consists mostly of carbon atoms, where each carbon atom contains 6 protons.
1 mole of carbon atoms, which has a mass of 12 g, contains [tex]6.022\cdot 10^{23}[/tex]atoms of carbon (Avogadro number). This means that the number of moles of carbon atoms contained in a human body is
[tex]n=\frac{70 kg}{12 g}=\frac{70 kg}{0.012 kg}=5833[/tex]
Therefore, the number of carbon atoms contained in a human body is
[tex]N=n\cdot N_A = (5833)(6.022\cdot 10^{23})=3.5\cdot 10^{27}[/tex]
And therefore, the average number of protons is:
[tex]N_p = 6N=6(3.5\cdot 10^{27})=2.1\cdot 10^{28}[/tex]
The charge of one proton is
[tex]e=1.6\cdot 10^{-19}C[/tex]
Therefore, the average positive charge due to the protons in a human body is:
[tex]Q=N_p e=(2.1\cdot 10^{28})(1.6\cdot 10^{-19}C)=3.4\cdot 10^9 C[/tex]
2)
From part 1), we said that the average number of atoms in a human body is
[tex]3.5\cdot 10^{27}[/tex]
And the average number of protons is
[tex]N_p=2.1\cdot 10^{28}[/tex]
However, we have to take into account the fact that most of the atoms in a human body are neutral, that means they have an equal number of protons and electrons. Therefore, we can say that the average number of electrons in a human body is
[tex]N_e=2.1\cdot 10^{28}[/tex]
The electrons carry a negative charge opposite to that of the protons:
[tex]-e=-1.6\cdot 10^{-19}C[/tex]
Therefore, the charge of each atom is on average zero:
[tex]q=e+(-e)=0[/tex]
And therefore, to average net charge in an average human will also be zero.
Learn more about atoms and electric charge:
brainly.com/question/2757829
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