IMO Practice Test — The d- and f-Block Elements
14 Questions • 15 min • Olympiad level
15:00
Question 1 of 14
A 3d-series $M^{2+}$ ion has a spin-only moment of 3.87 BM. The number of unpaired electrons and the ion are:
2, $\text{Ni}^{2+}$
3, $\text{Cr}^{3+}$-like ($d^3$)
4, $\text{Fe}^{2+}$
5, $\text{Mn}^{2+}$
Explanation: $\sqrt{n(n+2)}=3.87\Rightarrow n=3$; a $d^3$ divalent ion is $\text{V}^{2+}$ (same $d^3$, 3 unpaired electrons).
Question 2 of 14
Among $\text{Mn}^{2+}$, $\text{Fe}^{2+}$, $\text{Co}^{2+}$ and $\text{Ni}^{2+}$, the one with the highest spin-only magnetic moment is:
$\text{Mn}^{2+}$
$\text{Fe}^{2+}$
$\text{Co}^{2+}$
$\text{Ni}^{2+}$
Explanation: $\text{Mn}^{2+}$ ($d^5$) has 5 unpaired electrons, the maximum, giving 5.92 BM.
Question 3 of 14
Why does the $\text{IE}_3$ of Mn exceed that of Fe?
Mn has lower nuclear charge
Removing the 3rd electron from $\text{Mn}^{2+}$ breaks the stable $d^5$ configuration
Fe is a non-metal
Mn has more protons than Fe
Explanation: $\text{Mn}^{2+}$ is $d^5$ (extra-stable), so removing a further electron is difficult.
Question 4 of 14
In the reaction of $\text{KMnO}_4$ with oxalic acid, the ratio of moles of $\text{MnO}_4^-$ to $\text{C}_2\text{O}_4^{2-}$ is:
1 : 1
2 : 5
5 : 2
1 : 2
Explanation: $2\text{MnO}_4^-+5\text{C}_2\text{O}_4^{2-}+16\text{H}^+\rightarrow2\text{Mn}^{2+}+10\text{CO}_2+8\text{H}_2\text{O}$.
Question 5 of 14
The number of moles of $\text{Fe}^{2+}$ oxidised by 1 mole of $\text{Cr}_2\text{O}_7^{2-}$ in acid is:
3
5
6
2
Explanation: Dichromate accepts 6 electrons; each $\text{Fe}^{2+}\rightarrow\text{Fe}^{3+}$ gives 1 electron, so 6 moles are oxidised.
Question 6 of 14
Which 3d ion would be both colourless AND diamagnetic?
$\text{Cu}^{2+}$
$\text{Zn}^{2+}$
$\text{Cr}^{3+}$
$\text{Mn}^{2+}$
Explanation: $\text{Zn}^{2+}$ is $d^{10}$: no d-d transition (colourless) and all electrons paired (diamagnetic).
Question 7 of 14
Lanthanoid contraction makes the radius of Hf nearly equal to that of:
Ti
Zr
Ta
Y
Explanation: Zr and Hf, of the same group, have almost identical radii due to the contraction.
Question 8 of 14
Which lanthanoid ion attains stability by reaching a half-filled f subshell in the +2 state?
$\text{Ce}^{2+}$
$\text{Eu}^{2+}$
$\text{Lu}^{2+}$
$\text{La}^{2+}$
Explanation: $\text{Eu}^{2+}$ is $4f^7$, a stable half-filled configuration.
Question 9 of 14
The colour of acidified $\text{KMnO}_4$ is discharged on adding excess oxalic acid because:
$\text{MnO}_4^-$ is converted to coloured $\text{MnO}_2$
$\text{MnO}_4^-$ is reduced to nearly colourless $\text{Mn}^{2+}$
oxalic acid is purple
permanganate evaporates
Explanation: Purple $\text{MnO}_4^-$ is reduced to the pale pink/colourless $\text{Mn}^{2+}$ ion.
Question 10 of 14
Why do second- and third-row transition metals show higher melting points than the first row?
weaker metallic bonds
stronger metal-metal bonding from greater d-orbital overlap
they are non-metals
they have fewer electrons
Explanation: Larger, more diffuse 4d/5d orbitals overlap more strongly, giving stronger metallic bonding.
Question 11 of 14
The basic strength of the hydroxides $\text{La(OH)}_3$ to $\text{Lu(OH)}_3$:
increases
decreases
stays constant
first increases then decreases
Explanation: As cation size falls (lanthanoid contraction), the hydroxides become less basic from La to Lu.
Question 12 of 14
For a $d^4$ ion in an octahedral field with weak ligands, the number of unpaired electrons (high-spin) is:
0
2
4
1
Explanation: High-spin $d^4$: $t_{2g}^3 e_g^1$, all four electrons unpaired.
Question 13 of 14
Among $\text{Sc}$, $\text{V}$, $\text{Cr}$ and $\text{Mn}$, the metal expected to have the highest melting point is:
Sc
V
Cr
Mn
Explanation: Cr lies near mid-series with the maximum number of unpaired d electrons available for bonding (Mn dips due to $d^5$).
Question 14 of 14
The actinoid contraction is greater than the lanthanoid contraction mainly because:
$5f$ electrons shield even more poorly than $4f$
$5f$ electrons shield better
actinoids have fewer protons
actinoids are smaller atoms
Explanation: The poorer shielding by the $5f$ electrons produces a slightly larger contraction.