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Magnesium has three naturally occurring isotopes - VCE - SSCE Chemistry - Question 2 - 2005 - Paper 1

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Magnesium has three naturally occurring isotopes. Their relative abundances and masses are given in the table below. | Percentage abundance | Relative isotopic mass... show full transcript

Worked Solution & Example Answer:Magnesium has three naturally occurring isotopes - VCE - SSCE Chemistry - Question 2 - 2005 - Paper 1

Step 1

What instrument is commonly used to obtain this information?

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Answer

The instrument commonly used to determine the relative isotopic masses of elements is a mass spectrometer. This device allows for the precise measurement of the masses of ions and their relative abundances.

Step 2

Using the information above, show how the relative atomic mass of magnesium can be determined. Calculate your answer to an appropriate number of significant figures.

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Answer

To determine the relative atomic mass of magnesium, use the formula:

ext{Relative Atomic Mass} = rac{ ext{(abundance of }^{24} ext{Mg)} imes ext{(mass of }^{24} ext{Mg)} + ext{(abundance of }^{25} ext{Mg)} imes ext{(mass of }^{25} ext{Mg)} + ext{(abundance of }^{26} ext{Mg)} imes ext{(mass of }^{26} ext{Mg)}}{100}

By substituting in the values:

= rac{(78.99 imes 23.985) + (10.00 imes 24.986) + (11.01 imes 25.983)}{100}

Calculating this gives:

  • For 24Mg: 78.99 × 23.985 = 1897.53
  • For 25Mg: 10.00 × 24.986 = 249.86
  • For 26Mg: 11.01 × 25.983 = 285.95

Sum: 1897.53 + 249.86 + 285.95 = 2433.34 Thus, ext{Relative Atomic Mass} = rac{2433.34}{100} = 24.33

Therefore, the relative atomic mass of magnesium is approximately 24.31, rounded to two decimal places.

Step 3

Explain why Mendeleev would have placed these two elements in the same vertical group.

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Mendeleev placed calcium and magnesium in the same vertical group because they exhibit similar chemical properties. Both elements belong to Group 2 of the periodic table, known as the alkaline earth metals. They have similar valence electron configurations, which leads to comparable reactivity and bonding characteristics.

Step 4

The electronegativity of magnesium (1.31) is greater than that of calcium (1.00). Give a brief explanation for this difference.

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Magnesium has a higher electronegativity than calcium because of its smaller atomic radius and higher effective nuclear charge. As the size of the atom decreases, the ability of the nucleus to attract bonding electrons increases, resulting in higher electronegativity.

Step 5

Write the electron configuration, in terms of shells and subshells, for the calcium atom.

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The electron configuration for the calcium atom (Ca), which has an atomic number of 20, is:

1s22s22p63s21s^2 2s^2 2p^6 3s^2 This indicates that calcium has 2 electrons in its outermost shell, making it part of Group 2.

Step 6

Write the electron configuration, in terms of shells and subshells, for the Ca2+ ion.

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The electron configuration for the Ca²⁺ ion, which has lost two electrons, is:

1s22s22p63s21s22s22p61s^2 2s^2 2p^6 3s^2 \rightarrow 1s^2 2s^2 2p^6 This shows that the Ca²⁺ ion has 18 electrons, resulting in a stable, noble gas configuration.

Step 7

Explain why the calcium atom is significantly larger than the Ca2+ ion.

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The calcium atom is significantly larger than the Ca²⁺ ion because it has more electrons, which leads to increased electron-electron repulsion in the outer shell. When calcium loses two electrons to form Ca²⁺, the effective nuclear charge experienced by the remaining electrons increases, pulling them closer to the nucleus and resulting in a smaller ionic radius.

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