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Naturally occurring copper consists of 63Cu (mass 62.9296 amu) and 65Cu (mass 64.9278 amu), with an average mass of 63.546 amu. What is the percent composition of Cu in terms of these two isotopes?

Short Answer

Expert verified

69.152%鈫63颁耻
30.848%鈫65颁耻

Step by step solution

01

Explanation: 

As you may know, the average atomic mass of an element is calculated by taking the weighted average of its naturally occurring isotopes.

Simply put, an element's naturally occurring isotopes add to the element's average atomic mass in proportion to their abundance.

avg. atomic mass=鈭慽(isotopei脳abundancex)

02

Continuation:

When it comes to the actual calculation, decimal abundances, which are simply percent abundances divided by 100, are preferable.

You're probably aware that copper has two naturally occurring isotopes: copper-63 and copper-65. This indicates that the sum of their decimal abundances must equal 1.

If x represents the decimal abundance of copper-63, then the decimal abundance of copper-65 will be equal to 1- x.

03

calculation:

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Most popular questions from this chapter

Click on the site (http://openstaxcollege.org/l/16PhetAtomMass) and select the 鈥淢ix Isotopes鈥 tab, hide the 鈥淧ercent Composition鈥 and 鈥淎verage Atomic Mass鈥 boxes, and then select the element boron.

(a) Write the symbols of the isotopes of boron that are shown as naturally occurring in significant amounts.

(b) Predict the relative amounts (percentages) of these boron isotopes found in nature. Explain the reasoning behind your choice.

(c) Add isotopes to the black box to make a mixture that matches your prediction in (b). You may drag isotopes fromtheir bins or click on 鈥淢ore鈥 and then move the sliders to the appropriate amounts.

(d) Reveal the 鈥淧ercent Composition鈥 and 鈥淎verage Atomic Mass鈥 boxes. How well does your mixture match withyour prediction? If necessary, adjust the isotope amounts to match your prediction.

(e) Select 鈥淣ature鈥檚鈥 mix of isotopes and compare it to your prediction. How well does your prediction comparewith the naturally occurring mixture? Explain. If necessary, adjust your amounts to make them match 鈥淣ature鈥檚鈥漚mounts as closely as possible.

Using the periodic table, identify the heaviest member of each of the following groups:

(a) Alkali metals

(b) Chalcogens

(c) Noble gases

(d) Alkaline earth metals

The existence of isotopes violates one of the original ideas of Dalton鈥檚 atomic theory. Which one?

For each of the following compounds, state whether it is ionic or covalent, and if it is ionic, write the symbols for the ions involved:

  1. \(KCl{O_4}\)
  2. \(Mg{\left( {{C_2}{H_3}{O_2}} \right)_2}\)
  3. \({H_2}S\)
  4. \(A{g_2}S\)
  5. \({N_2}C{l_4}\)
  6. \(Co{\left( {N{O_3}} \right)_2}\)

In the following drawing, the green spheres represent atoms of a certain element. The purple spheres represent atoms of another element. If the spheres of different elements touch, they are part of a single unit of a compound. The following chemical change represented by these spheres may violate one of the ideas of Dalton鈥檚 atomic theory. Which one?

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