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Chapter 2: Problem 13

Examine the periodic table and find the symbol for magnesium. a) How does the number given just below the symbol for magnesium (rounded to \(0.01\) compare with the average mass (amu) of one magnesium atom? b) How does the number given just below the symbol for magnesium (rounded to \(0.01\) ) compare with the mass (grams) of \(6.022 \times 10^{23}\) magnesium atoms?

Short Answer

Expert verified
a) The number given just below the symbol for magnesium in the periodic table, approximately 24.31 (rounded to 0.01), matches with the average mass in atomic mass units (amu) of one magnesium atom. b) The number given just below the symbol for magnesium in the periodic table (rounded to 0.01) also indicates the mass in grams of \(6.022 \times 10^{23}\) magnesium atoms.

Step by step solution

01

Understand the Periodic Table

Magnesium (Mg) is the 12th element in the Periodic Table. The number given just below the symbol for magnesium is the atomic mass, which is approximately 24.31 g/mol. This number means that 1 mole of magnesium, which is \(6.022 \times 10^{23}\) atoms, has a mass of 24.31 grams.
02

Compare to atomic mass of one atom

To find the average mass of one mg atom, convert the mass in grams to atomic mass units (amu) by using the conversion \(1 amu = \frac{1 g}{6.022 \times 10^{23} amu}\). The atomic mass of one magnesium atom (rounded to 0.01) would, therefore, be \(24.31 amu\). Thus, the atomic mass listed in the periodic table is effectively the average atomic mass of one atom.
03

Compare to mass of Avogadro's number of atoms

The atomic mass in grams per mole is also the mass of \(6.022 \times 10^{23}\) magnesium atoms in grams. So the number given below the symbol for magnesium (rounded to 0.01) being 24.31, is also the mass of \(6.022 \times 10^{23}\) magnesium atoms in grams.

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Most popular questions from this chapter

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