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Calculate the relative atomic mass of Zinc using the given isotope data, and determine the number of protons, neutrons, and electrons for the most abundant isotope.

Chemistry

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Answer

a

65.40\text{65.40}

Step-by-step solution

3 steps

Part a· 3 steps

To calculate the relative atomic mass of Zinc, we use the formula

Relative Atomic Mass=∑(isotope mass×fractional abundance)\text{Relative Atomic Mass} = \sum (\text{isotope mass} \times \text{fractional abundance})

  1. Convert the percentages to fractional abundances.

    Relative Atomic Mass=(64×0.4863)+(66×0.2790)+(67×0.0410)+(68×0.1875)+(70×0.0052)\text{Relative Atomic Mass} = (64 \times 0.4863) + (66 \times 0.2790) + (67 \times 0.0410) + (68 \times 0.1875) + (70 \times 0.0052)

  2. Calculate each product.

    Relative Atomic Mass=31.1232+18.4140+2.7470+12.7500+0.3640\text{Relative Atomic Mass} = 31.1232 + 18.4140 + 2.7470 + 12.7500 + 0.3640

  3. Sum the products to find the relative atomic mass.

    Relative Atomic Mass=65.3982\text{Relative Atomic Mass} = 65.3982

    The relative atomic mass of Zinc is approximately 65.40\boxed{\text{65.40}}.

Part b

The most abundant isotope is 64Zn^{64}\text{Zn} with 48.63% abundance.

For a neutral atom of 64Zn^{64}\text{Zn}:

  • The atomic number of Zinc (Zn) is 30. Therefore, the number of protons is 30.
  • The mass number is 64. The number of neutrons is the mass number minus the number of protons: 64−30=3464 - 30 = 34.
  • In a neutral atom, the number of electrons is equal to the number of protons. Therefore, the number of electrons is 30.

Here is the completed table for the most abundant isotope of Zinc (64Zn^{64}\text{Zn}):

Number of protonsNumber of neutronsNumber of electrons in neutral atom
303430
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