we done M = 75.0 kg /// me = 9.11 × 10−31 kg //e = 1.602177 × 10−19 C 1.Calculate the total number of electrons. 2. What is the total charge of electrons؟
إجابة الطالب المختصرة من خلال موقع بوابة الإجابات هي
1.602177×10−19C
Here's how to calculate the total number of electrons and their total charge, given the mass M and the other constants:
**Assumptions:**
* The "M" represents the mass of something composed of ordinary matter (atoms). We'll assume it's a person.
* The person is electrically neutral, meaning the number of protons (positive charges) equals the number of electrons (negative charges).
* We need to make an assumption about the average atomic mass of the human body.
**Steps:**
1. **Estimate the Number of Atoms:**
* A reasonable assumption is that the average atomic mass of the human body is close to that of oxygen (16 atomic mass units - amu), considering the high proportion of water and other oxygen-containing compounds. We will assume that the average atomic mass is 16 amu.
* Convert amu to kg: 1 amu = 1.66054 x 10-27 kg
* Mass of one "average" atom: 16 amu * 1.66054 x 10-27 kg/amu ≈ 2.657 x 10-26 kg
* Number of atoms in the body (N_atoms): M / (mass of one average atom) = 75.0 kg / (2.657 x 10-26 kg/atom) ≈ 2.823 x 10^27 atoms
2. **Estimate the Number of Electrons per Atom:**
* Assuming an average atomic number close to oxygen (8 protons, and therefore 8 electrons) is a reasonable simplification. We'll use 8 electrons per atom.
3. **Calculate the Total Number of Electrons:**
* Total number of electrons (N_electrons): N_atoms * (number of electrons per atom) = (2.823 x 10^27 atoms) * 8 electrons/atom ≈ 2.258 x 10^28 electrons
4. **Calculate the Total Charge of the Electrons:**
* Total charge (Q) = N_electrons * e = (2.258 x 10^28 electrons) * (-1.602177 x 10^-19 C/electron) ≈ -3.618 x 10^9 C
**Answers:**
1. **Total number of electrons: Approximately 2.258 x 10^28 electrons**
2. **Total charge of the electrons: Approximately -3.618 x 10^9 Coulombs**
**Important Considerations:**
* **Assumptions:** The accuracy of these results depends heavily on the assumptions made about the average atomic mass and atomic number of the human body. These are rough estimates. More precise calculations would require a detailed elemental composition analysis, which is beyond the scope of this simple calculation.
* **Neutrality:** The assumption of perfect electrical neutrality is an idealization. In reality, there will always be tiny imbalances of charge, but they are generally insignificant for these types of calculations.
* **Significant Figures:** The number of significant figures in the final answer should reflect the least precise value used in the calculation (which is M = 75.0 kg, with 3 significant figures).
Let me know if you'd like to explore different assumptions for the average atomic mass and atomic number and see how that affects the results!
اذا كان لديك إجابة افضل او هناك خطأ في الإجابة علي سؤال we done M = 75.0 kg /// me = 9.11 × 10−31 kg //e = 1.602177 × 10−19 C 1.Calculate the total number of electrons. 2. What is the total charge of electrons اترك تعليق فورآ.
