Chapter 22
General Chemistry · 71 exercises
Problem 1
What characteristics of the transition elements set them apart from the main- group elements?
5 step solution
Problem 2
According to the building-up principle, what is the electron configuration of the ground state of the technetium atom (atomic number 43)?
4 step solution
Problem 3
The highest melting point for metals in the fifth period occurs for molybdenum. Explain why this is expected.
5 step solution
Problem 4
Iron, cobalt, and nickel are similar in properties and are sometimes studied together as the "iron triad." For example, each is a fairly active metal that reacts with acids to give hydrogen and the \(+2\) ions. In addition to the \(+2\) ions, the \(+3\) ions of the metals also figure prominently in the chemistries of the elements. Explain why these elements are similar.
4 step solution
Problem 5
Palladium and platinum are very similar to one another. Both are unreactive toward most acids. However, nickel, which is in the same column of the periodic table, is an active metal. Explain why this difference exists.
4 step solution
Problem 6
Write balanced equations for the reactions of \(\mathrm{Cr}\) and \(\mathrm{Cu}\) metals with \(\mathrm{HCl}(a q)\). If no reaction occurs, write \(N R\)
5 step solution
Problem 8
Describe the structure of copper(II) sulfate pentahydrate. What color change occurs when the salt is heated? What causes the color change?
5 step solution
Problem 9
Copper(II) ion in basic solution is reduced by formaldehyde, HCHO, to copper(I) oxide. Formaldehyde is oxidized to formate ion, \(\mathrm{HCOO}^{-}\). Write the balanced equation for this reaction.
6 step solution
Problem 11
Define the terms complex ion, ligand, and coordination number. Use an example to illustrate the use of these terms.
3 step solution
Problem 12
Define the term bidentate ligand. Give two examples.
3 step solution
Problem 15
Define each of the following and give an example of each: (a) ionization isomerism, (b) hydrate isomerism, (c) coordination isomerism, (d) linkage isomerism.
4 step solution
Problem 16
Define the terms geometric isomerism and optical isomerism and give an example of each.
2 step solution
Problem 17
Explain the difference in behavior of \(d\) and \(l\) isomers with respect to polarized light.
4 step solution
Problem 18
What is a racemic mixture? Describe one method of resolving a racemic mixture.
4 step solution
Problem 21
Explain why \(d\) orbitals of a transition-metal atom may have different energies in the octahedral field of six negative charges. Describe how each of the \(d\) orbitals is affected by the octahedral field.
4 step solution
Problem 22
(a) Use crystal field theory to describe a high-spin octahedral complex of \(\mathrm{Fe}^{2+}\). (b) Do the same for a low-spin complex.
4 step solution
Problem 23
What is meant by the term crystal field splitting? How is it determined experimentally?
3 step solution
Problem 24
What is the spectrochemical series? Use the ligands \(\mathrm{CN}^{-}, \mathrm{H}_{2} \mathrm{O}, \mathrm{Cl}^{-}\), and \(\mathrm{NH}_{3}\) to illustrate the term. Then arrange them in order, describing the meaning of this order.
4 step solution
Problem 25
What is the spectrochemical series? Use the ligands \(\mathrm{CN}^{-}, \mathrm{H}_{2} \mathrm{O}, \mathrm{Cl}^{-}\), and \(\mathrm{NH}_{3}\) to illustrate the term. Then arrange them in order, describing the meaning of this order.
4 step solution
Problem 26
What is the spectrochemical series? Use the ligands \(\mathrm{CN}^{-}, \mathrm{H}_{2} \mathrm{O}, \mathrm{Cl}^{-}\), and \(\mathrm{NH}_{3}\) to illustrate the term. Then arrange them in order, describing the meaning of this order.
4 step solution
Problem 27
What is the coordination number of cobalt in the complex \(\left[\mathrm{Co}(\mathrm{en})\left(\mathrm{NH}_{3}\right)_{2} \mathrm{Cl}_{2}\right] \mathrm{ClO}_{4} ?\) a. 2 b. 3 c. 4 d. 5 e. 6
3 step solution
Problem 28
Which of the following is most likely a tetrahedral complex? a. \(\left[\mathrm{Zn}\left(\mathrm{NH}_{3}\right)_{2} \mathrm{Cl}_{2}\right]\) b. \(\left[\mathrm{Co}\left(\mathrm{NH}_{3}\right)_{3} \mathrm{Cl}_{3}\right]\) C. \(\left[\mathrm{Co}\left(\mathrm{NH}_{3}\right)_{6}\right]^{2+}\) d. \(\left[\mathrm{Ni}\left(\mathrm{H}_{2} \mathrm{O}\right)_{6}\right] \mathrm{SO}_{4}\) e. \(\left[\mathrm{Co}(\mathrm{en})_{2}\left(\mathrm{H}_{2} \mathrm{O}\right) \mathrm{Cl}\right]^{2+}\)
3 step solution
Problem 29
What is the correct name for the coordination compound \(\left[\mathrm{Cr}(\mathrm{en})_{2}(\mathrm{CN})_{2}\right] \mathrm{Cl} ?\) a. chromium(III) (diethylenediamine)biscyano chloride b. dicyanobis(ethylenediamine)chromium(III) chloride c. dicyanobis(ethylenediamine)chromium(III) dichloride d. bis(ethylenediamine)dicyanochromium(III) chloride e. bis(ethylenediamine)dicyanochromium(III) dichloride
5 step solution
Problem 30
What is the number of unpaired electrons in the low-spin complex \(\left[\mathrm{Co}\left(\mathrm{NH}_{3}\right)_{6}\right] \mathrm{Cl}_{3}\) a. 0 b. 1 c. 2 d. 3 e. 4
4 step solution
Problem 31
A cobalt complex whose composition corresponded to the formula \(\mathrm{Co}\left(\mathrm{NO}_{2}\right)_{2} \mathrm{Cl} \cdot 4 \mathrm{NH}_{3}\) gave an electrical conductance equivalent to two ions per formula unit. Excess silver nitrate solution immediately precipitates \(1 \mathrm{~mol} \mathrm{AgCl}\) per formula unit. Write a structural formula consistent with these results.
4 step solution
Problem 33
Describe step by step how the name potassium hexacyanoferrate(II) leads to the structural formula \(\mathrm{K}_{4}\left[\mathrm{Fe}(\mathrm{CN})_{6}\right]\)
5 step solution
Problem 34
Compounds \(A\) and \(B\) are known to be stereoisomers of one another. Compound A has a violet color; compound B has a green color. Are they geometric or optical isomers?
5 step solution
Problem 35
A complex has a composition corresponding to the formula \(\mathrm{CoBr}_{2} \mathrm{Cl} \cdot 4 \mathrm{NH}_{3} .\) What is the structural formula if conductance measurements show two ions per formula unit? Silver nitrate solution gives an immediate precipitate of \(\mathrm{AgCl}\) but no AgBr. Write the structural formula of an isomer.
5 step solution
Problem 37
Find the oxidation numbers of the transition metal in each of the following compounds: a. \(\mathrm{FeCO}_{3}\) b. \(\mathrm{MnO}_{2}\) c. \(\mathrm{CuCl}_{2}\) d. \(\mathrm{CrO}_{2} \mathrm{Cl}_{2}\)
9 step solution
Problem 38
Find the oxidation numbers of the transition metal in each of the following compounds: a. \(\mathrm{CoSO}_{4}\) b. \(\mathrm{Ta}_{2} \mathrm{O}_{5}\) c. \(\mathrm{Cu}_{2}(\mathrm{OH})_{3} \mathrm{Cl}\)
3 step solution
Problem 39
Write the balanced equation for the reaction of iron(II) ion with nitrate ion in acidic solution. Nitrate ion is reduced to NO.
5 step solution
Problem 41
Give the coordination number of the transition-metal atom in each of the following complexes. a. \(\left[\mathrm{Au}(\mathrm{CN})_{4}\right]\) b. \(\left[\mathrm{Co}\left(\mathrm{NH}_{3}\right)_{4}\left(\mathrm{H}_{2} \mathrm{O}\right)_{2}\right] \mathrm{Cl}_{3}\) c. \(\left[\mathrm{Au}(\mathrm{en})_{2}\right] \mathrm{Cl}_{3}\) d. \(\left[\mathrm{Cr}(\mathrm{en})_{2}\left(\mathrm{C}_{2} \mathrm{O}_{4}\right)\right]^{+}\)
5 step solution
Problem 42
Give the coordination number of the transition element in each of the following complexes. a. \(\left[\mathrm{Ni}\left(\mathrm{NH}_{3}\right)_{6}\right]\left(\mathrm{ClO}_{3}\right)_{2}\) b. \(\left[\mathrm{Cu}\left(\mathrm{NH}_{3}\right)_{4}\right] \mathrm{SO}_{4}\) c. \(\left[\mathrm{Cr}(\mathrm{en})_{3}\right] \mathrm{Cl}_{3}\) d. \(\mathrm{K}_{2}\left[\mathrm{Ni}(\mathrm{CN})_{4}\right]\)
5 step solution
Problem 43
Determine the oxidation number of the transition element in each of the following complexes. a. \(\mathrm{K}_{2}\left[\mathrm{Ni}(\mathrm{CN})_{4}\right]\) b. \(\left[\mathrm{Mo}(\mathrm{en})_{3}\right]^{3+}\) c. \(\left[\mathrm{Cr}\left(\mathrm{C}_{2} \mathrm{O}_{4}\right)_{3}\right]^{3-}\) d. \(\left[\mathrm{Co}\left(\mathrm{NH}_{3}\right)_{5}\left(\mathrm{NO}_{2}\right)\right] \mathrm{Cl}_{2}\)
4 step solution
Problem 44
For each of the following complexes, determine the oxidation state of the transition-metal atom. a. \(\left[\mathrm{CoCl}(\mathrm{en})_{2}\left(\mathrm{NO}_{2}\right)\right] \mathrm{NO}_{2}\) b. \(\left[\mathrm{PtCl}_{4}\right]^{2-}\) c. \(\mathrm{K}_{3}\left[\mathrm{Cr}(\mathrm{CN})_{6}\right]\) d. \(\left[\mathrm{Fe}\left(\mathrm{H}_{2} \mathrm{O}\right)_{5}(\mathrm{OH})\right]^{2+}\)
4 step solution
Problem 45
Consider the complex ion \(\left[\mathrm{Cr}\left(\mathrm{NH}_{3}\right)_{2} \mathrm{Cl}_{2}\left(\mathrm{C}_{2} \mathrm{O}_{4}\right)\right]^{-}\). a. What is the oxidation state of the metal atom? b. Give the formula and name of each ligand in the ion. C. What is the coordination number of the metal atom? d. What would be the charge on the complex if all ligands were chloride ions?
4 step solution
Problem 46
Consider the complex ion \(\left[\mathrm{Mn}\left(\mathrm{NH}_{3}\right)_{2}\left(\mathrm{H}_{2} \mathrm{O}\right)_{3}(\mathrm{OH})\right]^{2+}\). a. What is the oxidation state of the metal atom? b. Give the formula and name of each ligand in the ion. c. What is the coordination number of the metal atom? d. What would be the charge on the complex if all ligands were chloride ions?
4 step solution
Problem 47
Write the IUPAC name for each of the following coordination compounds. a. \(\mathrm{K}_{3}\left[\mathrm{FeF}_{6}\right]\) b. \(\left[\mathrm{Cu}\left(\mathrm{NH}_{3}\right)_{2}\left(\mathrm{H}_{2} \mathrm{O}\right)_{2}\right]^{2+}\) c. \(\left(\mathrm{NH}_{4}\right)_{2}\left[\mathrm{Fe}\left(\mathrm{H}_{2} \mathrm{O}\right) \mathrm{F}_{5}\right]\) d. \(\left[\mathrm{Ag}(\mathrm{CN})_{2}\right]^{-}\)
12 step solution
Problem 48
Name the following complexes, using IUPAC rules. a. \(\mathrm{K}_{4}\left[\mathrm{Mo}(\mathrm{CN})_{8}\right]\) b. \(\left[\mathrm{CrF}_{6}\right]^{3-}\) c. \(\left[\mathrm{V}\left(\mathrm{C}_{2} \mathrm{O}_{4}\right)_{3}\right]^{2-}\) d. \(\mathrm{K}_{2}\left[\mathrm{FeCl}_{4}\right]\)
4 step solution
Problem 49
Give the IUPAC name for each of the following. a. \(\left[\mathrm{Fe}(\mathrm{CO})_{5}\right]\) b. \(\left[\mathrm{Rh}(\mathrm{CN})_{2}(\mathrm{en})_{2}\right]^{+}\) c. \(\left[\mathrm{Cr}\left(\mathrm{NH}_{3}\right)_{4} \mathrm{SO}_{4}\right] \mathrm{Cl}\) d. \(\left[\mathrm{MnO}_{4}\right]^{-}\)
10 step solution
Problem 50
Give the IUPAC name for each of the following. a. \(\left[\mathrm{W}(\mathrm{CO})_{8}\right]\) b. \(\left[\mathrm{Co}\left(\mathrm{H}_{2} \mathrm{O}\right)_{2}(\mathrm{en})_{2}\right]\left(\mathrm{SO}_{4}\right)_{3}\) c. \(\mathrm{K}\left[\mathrm{Mo}(\mathrm{CN})_{8}\right]\) d. \(\left[\mathrm{CrO}_{4}\right]^{2-}\)
3 step solution
Problem 51
Write the structural formula for each of the following compounds. a. potassium hexacyanomanganate(III) b. sodium tetracyanozincate(II) c. tetraamminedichlorocobalt(III) nitrate d. hexaamminechromium(III) tetrachlorocuprate(II)
8 step solution
Problem 52
Give the structural formula for each of the following complexes. a. diaquadicyanocopper(II) b. potassium hexachloroplatinate(IV) c. tetraamminenickel(II) perchlorate d. tetraammineplatinum(II) tetrachlorocuprate(II)
8 step solution
Problem 53
Draw cis-trans structures of any of the following square planar or octahedral complexes that exhibit geometric isomerism. Label the drawings cis or trans. a. \(\left[\mathrm{Pd}\left(\mathrm{NH}_{3}\right)_{2} \mathrm{Cl}_{2}\right]\) b. \(\left[\mathrm{Pd}\left(\mathrm{NH}_{3}\right)_{3} \mathrm{Cl}\right]^{+}\) c. \(\left[\mathrm{Pd}\left(\mathrm{NH}_{3}\right)_{4}\right]^{2+}\) d. \(\left[\mathrm{Ru}\left(\mathrm{NH}_{3}\right)_{4} \mathrm{Br}_{2}\right]^{+}\)
6 step solution
Problem 54
If any of the following octahedral complexes display geometric isomerism, draw the structures and label them cis or trans. a. \(\left[\mathrm{Co}\left(\mathrm{NO}_{2}\right)_{4}\left(\mathrm{NH}_{3}\right)_{2}\right]^{-}\) b. \(\left[\mathrm{Co}\left(\mathrm{NH}_{3}\right)_{5}\left(\mathrm{NO}_{2}\right)\right]^{2+}\) c. \(\left[\mathrm{Co}\left(\mathrm{NH}_{3}\right)_{6}\right]^{3+}\) d. \(\left[\mathrm{Cr}\left(\mathrm{NH}_{3}\right)_{5} \mathrm{Cl}\right]^{2+}\)
6 step solution
Problem 55
Determine whether there are optical isomers of any of the following. If so, sketch the isomers. a. cis-[Co(NH \(\left.\left._{3}\right)_{2}(\mathrm{en})_{2}\right]^{3+}\) b. trans- \(\left[\mathrm{IrCl}_{2}\left(\mathrm{C}_{2} \mathrm{O}_{4}\right)_{2}\right]^{3-}\)
6 step solution
Problem 57
Using crystal field theory, sketch the energy-level diagram for the \(d\) orbitals in an octahedral field; then fill in the electrons for the metal ion in each of the following complexes. How many unpaired electrons are there in each case? a. \(\left[\mathrm{V}(\mathrm{CN})_{6}\right]^{3-}\) b. \(\left[\mathrm{Co}\left(\mathrm{C}_{2} \mathrm{O}_{4}\right)_{3}\right]^{4-}\) (high-spin) C. \(\left[\mathrm{Mn}(\mathrm{CN})_{6}\right]^{3-}\) (low-spin)
4 step solution
Problem 58
Using crystal field theory, sketch the energy-level diagram for the \(d\) orbitals in an octahedral field; then fill in the electrons for the metal ion in each of the following complexes. How many unpaired electrons are there in each case? a. \(\left[\mathrm{ZrCl}_{6}\right]^{4-}\) b. \(\left[\mathrm{OsCl}_{6}\right]^{2-}\) (low-spin) c. \(\left[\mathrm{MnCl}_{6}\right]^{4-}\) (high-spin)
4 step solution
Problem 60
Obtain the distribution of \(d\) electrons in the complex ions listed below, using crystal field theory. Each ion is either tetrahedral or square planar. On the basis of the number of unpaired electrons (given in parentheses), decide the correct geometry. a. \(\left[\mathrm{Pt}\left(\mathrm{NH}_{3}\right)_{2}\left(\mathrm{NO}_{2}\right)_{2}\right]^{2+}\) b. \(\left[\mathrm{MnCl}_{4}\right]^{2-}\) c. \(\left[\mathrm{NiCl}_{4}\right]^{2-}(2)\) d. \(\left[\mathrm{AuF}_{4}\right]^{-}(0)\)
3 step solution
Problem 61
The \(\left[\mathrm{Co}(\mathrm{SCN})_{4}\right]^{2-}\) ion has a maximum absorption at \(530 \mathrm{~nm}\). What color do you expect for this ion?
2 step solution