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Chapter 2: Problem 11

For a large collection of (randomly selected) magnesium atoms: a) What is the average atomic mass of magnesium, \(\mathrm{Mg}\), in amu? b) What is the average mass of a Mg atom in grams? Show your work.

Short Answer

Expert verified
a) The average atomic mass of magnesium is ~24.305 amu. b) The average mass of a single Mg atom in grams is approximately \(4.03 \times 10^{-23}\) grams.

Step by step solution

01

Determine Atomic Mass in AMU

Looking from the periodic table, the average atomic mass of magnesium (Mg) is approximately ~24.305 amu.
02

Convert Atomic Mass from AMU to Grams

To convert atomic mass from atomic mass units (amu) to grams, use the conversion factor that 1 amu is approximately equal to \(1.66 \times 10^{-24}\) grams. Therefore, the mass of a single atom of magnesium would be \(24.305 \times 1.66 \times 10^{-24}\) grams.
03

Calculate the Average Atomic Mass in Grams

Perform the multiplication from the above step to get the result in grams. The average mass of a Mg atom in grams is approximately \( \approx 4.03 \times 10^{-23}\) grams.

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Most popular questions from this chapter

a) How many elephants are there in a dozen elephants? b) Which has more animals-a dozen elephants or a dozen chickens? c) How many elephants are there in a mole of elephants? d) Which has more animals-a mole of elephants or a mole of chickens? e) Which has more atoms-a dozen \(\mathrm{H}\) atoms or a dozen Ar atoms? f) Which has more atoms -a mole of hydrogen atoms or a mole of argon atoms?

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

What is the mass (in amu) of a) \(1000^{12} \mathrm{C}\) atoms? b) \(1000^{13} \mathrm{C}\) atoms?

Give two interpretations of the number "12.011" found below the symbol for carbon on the periodic table.

Find the symbol for chlorine on the periodic table. a) How does the number given just below the symbol for chlorine (rounded to two decimal places) compare with the average mass (in amu) of one chlorine atom? b) How does the number given just below the symbol for chlorine (rounded to two decimal places) compare with the mass (in grams) of \(6.022 \times 10^{23}\) chlorine atoms?
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