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Chapter 2: Q2.4CYL (page 84)

A sample of magnesium is found to contain 78.70% of 24Mg atoms (mass 23.98 amu), 10.13% of 25Mg atoms (mass 24.99 amu), and 11.17% of 26Mg atoms (mass 25.98 amu). Calculate the average mass of a Mg atom.

Short Answer

Expert verified

24.31 amu

Step by step solution

01

Given

  1. 78.70% of 24Mg atoms (mass 23.98 amu),
  2. 10.13% of 25Mg atoms (mass 24.99 amu), and
  3. 11.17% of 26Mg atoms (mass 25.98 amu)
02

Average mass

( 0.7870 x 23.98) + (0.1013 x 24.99) + (0.1117 x 25.98)

= 18.87 + 2.537 + 2.896

= 24.297 amu ~ 24.3 amu

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Most popular questions from this chapter

An element has the following natural abundance, and isotopic masses; 90.90% abundance with 19.99 amu, 0.26% abundance with 20.99 amu, and 8.82% abundance with 21.99 amu. Calculate the average atomic mass of this element.

What are the IUPAC names of the following compounds?

  1. Manganese dioxide
  2. Mercurous chloride (Hg2Cl2)
  3. Ferric nitrate [Fe(NO3)3]
  4. Titanium Tetrachloride
  5. Cupric bromide (CuBr2)

Predict and test the behavior of α particles fired at a “plum pudding” model atom.

(a) Predict the paths taken by α particles that are fired at atoms with a Thomson’s plum pudding model structure. Explain why you expect the α particles to take these paths.

(b) If α particles of higher energy than those in (a) are fired at plum pudding atoms, predict how their paths will differ from the lower-energy α particle paths. Explain your reasoning.

(c) Now test your predictions from (a) and (b). Open the Rutherford Scattering simulation (http://openstaxcollege.org/l/16PhetScatter) and select the “Plum Pudding Atom” tab. Set “Alpha Particles Energy” to “min,” and select “show traces.” Click on the gun to start firing α particles. Does this match your prediction from (a)? If not, explain why the actual path would be that shown in the simulation. Hit the pause button, or “Reset All.” Set “Alpha Particles Energy” to “max,” and start firing α particles. Does this match your prediction from (b)? If not, explain the effect of increased energy on the actual paths as shown in the simulation.

The following compounds are found in common household products. Write the formulas for each compound:

a. Potassium Phosphate

b. Copper (II) sulfate

c. Calcium Chloride

d. Titanium (IV) Dioxide

e. Ammonium nitrate

f. Sodium bisulfate (thecommon name for sodium hydrogen sulfate)

Using the periodic table, predict whether the following chlorides are ionic or covalent: \(KCl,{\rm{ }}NC{l_3},{\rm{ }}ICl,{\rm{ }}MgC{l_2},{\rm{ }}PC{l_5},\)and \(CC{l_4}\).
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