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On considère un atome dont de noyau contient 14 dreutro son corteye electronique a une change tolare egle& +20,8X10-19C Trouver son numera atomique 2 et sa masse atomique A

Physics

ScanSolve AI Answer

Answer

13
27

Step-by-step solution

2 steps
  1. Determine the atomic number ZZ.

    The charge of a single electron is e=1.602×10−19 Ce = 1.602 \times 10^{-19} \text{ C}. The problem states that the total charge of the electron cloud is +20.8×10−19 C+20.8 \times 10^{-19} \text{ C}. Since electrons carry a negative charge, a positive charge for the electron cloud is physically impossible. We will assume that the given value represents the magnitude of the total charge of the electrons in a neutral atom, or the charge of the nucleus. In a neutral atom, the number of electrons is equal to the number of protons, which is the atomic number ZZ.

    The number of protons ZZ is calculated by dividing the total charge by the elementary charge:

    Z=Total chargeElementary chargeZ = \frac{\text{Total charge}}{\text{Elementary charge}} Z=20.8×10−19 C1.602×10−19 CZ = \frac{20.8 \times 10^{-19} \text{ C}}{1.602 \times 10^{-19} \text{ C}} Z≈12.9837Z \approx 12.9837

    Since the atomic number must be an integer, we round it to the nearest whole number:

    Z=13Z = 13
  2. Determine the mass number AA.

    The mass number AA is the sum of the number of protons (ZZ) and the number of neutrons (NN) in the nucleus.
    We are given that the nucleus contains N=14N = 14 neutrons.

    A=Z+NA = Z + N A=13+14A = 13 + 14 A=27A = 27

    The atomic number is Z=13Z=13 and the mass number is A=27A=27.

    The atomic number ZZ is 13\boxed{13}.
    The mass number AA is 27\boxed{27}.

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