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Chapter 2: Problem 6

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

Short Answer

Expert verified
The mass of \(1000^{12} \mathrm{C}\) atoms is 12000 amu and the mass of \(1000^{13} \mathrm{C}\) atoms is 13000 amu.

Step by step solution

01

Calculate the mass of \(1000^{12} \mathrm{C}\) atoms

As discussed in the analysis, the atomic weight of carbon-12 is exactly 12 amu. Therefore, to calculate the mass of \(1000^{12} \mathrm{C}\) atoms, multiply 1000 with 12. \(1000 \times 12 = 12000 \) amu.
02

Calculate the mass of \(1000^{13} \mathrm{C}\) atoms

Similarly, the atomic weight of carbon-13 is 13 amu. So, to calculate the mass of \(1000^{13} \mathrm{C}\) atoms, multiply 1000 with 13. \(1000 \times 13 = 13000 \) amu.

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Most popular questions from this chapter

If you select one carbon atom at random, the mass of that atom is most likely to be____ amu.

Without using a calculator: a) Which weighs more, 18 elephants or two dozen elephants? Explain your reasoning. b) Which weighs more, \(5.136 \times 10^{23}\) sodium atoms or one mole of sodium atoms? Explain your reasoning.

If you select 1000 carbon atoms at random, the total mass will most likely be: i) \(\quad 12000.0 \mathrm{amu}\) ii) slightly more than \(12000.0 \mathrm{amu}\) iii) slightly less than \(12000.0\) amu iv) \(\quad 13003.4\) amu v) slightly less than \(13003.4\) amu Explain your reasoning.

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.

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?
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