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Chapter 2: Problem 9

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?

Short Answer

Expert verified
The average atomic mass of a collection of chlorine atoms is 35.5 amu and the average mass is approximately \(0.589 \times 10^{-24}\) grams.

Step by step solution

01

Compute the average atomic mass in amu

The average atomic mass is calculated by multiplying each isotope's mass by its relative abundance, then summing these products. Given that Chlorine has two isotopes with amu 35 and 37 respectively, and their relative abundances are 75% and 25%, the average atomic mass will then be \((0.75 \times 35) + (0.25 \times 37)\)
02

Calculate the result in Step 1

Calculate the above expression to find the average mass of Chlorine in amu, this leads to \(26.25 + 9.25 = 35.5 \, amu\)
03

Convert average atomic mass from amu to grams

One atomic mass unit (amu) is approximately equal to \(1.66 \times 10^{-24} \, g\). So, to convert the mass of chlorine from Step 2 to grams, simply multiply the result by \(1.66 \times 10^{-24} g/amu\)
04

Calculate the result in Step 3

Calculate the above expression to find the average mass of Chlorine in grams, this leads to \(35.5 amu \times 1.66 \times 10^{-24} g/amu = 0.589 \times 10^{-24} g\)

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Most popular questions from this chapter

Describe what all isotopes of magnesium have in common and also how are they different.

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?

Which has more atoms: \(1.008 \mathrm{~g}\) of hydrogen or \(39.95 \mathrm{~g}\) of argon? Explain your reasoning.

How many isotopes of magnesium occur naturally on Earth?

What fraction or percentage of carbon atoms has a mass of \(12.011\) amu?
See all solutions

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