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Chapter 2: Problem 5

If you select 100 carbon atoms at random, the total mass will be a) \(1200.00 \mathrm{amu}\) b) slightly more than \(1200.00\) amu c) slightly less than \(1200.00\) amu d) \(1300.34 \mathrm{amu}\) e) slightly less than \(1300.34\) amu Explain your reasoning.

Short Answer

Expert verified
The total mass of 100 randomly selected carbon atoms is \(1200.00 \ \mathrm{amu}\). Thus, the correct answer is option (a).

Step by step solution

01

Determine the Atomic Mass of Carbon

The atomic mass of a carbon atom is approximately 12 amu (atomic mass units). This detail is fundamental and can be found in the periodic table of elements.
02

Calculate the Total Mass for 100 Atoms

Given that 1 carbon atom has an approximate mass of 12 amu, the total mass of 100 carbon atoms can be calculated by multiplying the atomic mass of a single carbon atom by 100. Therefore, \( 12 \ \mathrm{amu} \times 100 = 1200 \ \mathrm{amu} \).
03

Compare with the Proposed Answers

Comparing our calculation with the proposed answers, we see that our result aligns with option (a), which is \(1200.00 \ \mathrm{amu}\).

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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?

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

What is the mass (in amu) of a) \(100^{12} \mathrm{C}\) atoms? b) \(100^{13} \mathrm{C}\) atoms?

How many isotopes of magnesium occur naturally on Earth?

For any large collection of (randomly selected) chlorine atoms: a) What is the average atomic mass of chlorine in amu? b) What is the average mass of a chlorine atom in grams?
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