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Electrode potential and ECell Questions in English

Class 12 Chemistry · Electrochemistry · Electrode potential and ECell

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Showing 46 of 419 questions in English

51
MediumMCQ
The standard electrode potentials of the half-cells are given below:
$Zn^{2+} + 2e^- \to Zn$; $E^{\circ} = -0.76 \, V$
$Fe^{2+} + 2e^- \to Fe$; $E^{\circ} = -0.44 \, V$
The $EMF$ of the cell $Fe^{2+} + Zn \to Zn^{2+} + Fe$ is ............ $V$.
A
$+0.32$
B
$-0.32$
C
$+1.20$
D
$-1.20$

Solution

(A) The cell reaction is: $Fe^{2+} + Zn \to Zn^{2+} + Fe$.
Here,$Zn$ is oxidized to $Zn^{2+}$ (anode) and $Fe^{2+}$ is reduced to $Fe$ (cathode).
$E^{\circ}_{cell} = E^{\circ}_{cathode} - E^{\circ}_{anode}$
$E^{\circ}_{cell} = E^{\circ}_{Fe^{2+}/Fe} - E^{\circ}_{Zn^{2+}/Zn}$
$E^{\circ}_{cell} = (-0.44 \, V) - (-0.76 \, V)$
$E^{\circ}_{cell} = -0.44 + 0.76 = +0.32 \, V$.
52
EasyMCQ
$Zn^{2+} + 2e^- \to Zn_{(s)}$; $E^o = -0.76 \ V$
$Fe^{3+} + e^- \to Fe^{2+}$; $E^o = +0.77 \ V$
$Cr^{3+} + 3e^- \to Cr_{(s)}$; $E^o = -0.74 \ V$
$H^{+} + e^- \to 1/2 H_2$; $E^o = 0.00 \ V$
Which of the following is the strongest reducing agent?
A
$Fe^{2+}$
B
$Zn$
C
$Cr$
D
$H_2$

Solution

(B) The reducing power of a substance is inversely proportional to its standard reduction potential $(E^o)$.
Lower (more negative) $E^o$ values indicate a stronger reducing agent.
Comparing the given values:
$Cr^{3+} + 3e^- \to Cr$; $E^o = -0.74 \ V$
$Zn^{2+} + 2e^- \to Zn$; $E^o = -0.76 \ V$
$H^{+} + e^- \to 1/2 H_2$; $E^o = 0.00 \ V$
$Fe^{3+} + e^- \to Fe^{2+}$; $E^o = +0.77 \ V$
Since $Zn$ has the most negative reduction potential $(E^o = -0.76 \ V)$,it is the strongest reducing agent among the given options.
53
MediumMCQ
Standard reduction electrode potentials of three metals $A$,$B$,and $C$ are respectively $+0.5 \ V$,$-3.0 \ V$,and $-1.2 \ V$. The reducing powers of these metals are
A
$B > C > A$
B
$A > B > C$
C
$C > B > A$
D
$A > C > B$

Solution

(A) The reducing power of a metal is inversely proportional to its standard reduction potential.
Lower reduction potential indicates a greater tendency to lose electrons,hence higher reducing power.
Given reduction potentials: $E^{\circ}_{A} = +0.5 \ V$,$E^{\circ}_{B} = -3.0 \ V$,$E^{\circ}_{C} = -1.2 \ V$.
Comparing the values: $-3.0 \ V < -1.2 \ V < +0.5 \ V$.
Therefore,the order of reducing power is $B > C > A$.
54
DifficultMCQ
The standard electrode potentials at $25\,^oC$ for the following half-reactions are given:
$Zn^{2+} + 2e^- \to Zn, E^o = -0.762\,V$
$Mg^{2+} + 2e^- \to Mg, E^o = -2.37\,V$
When zinc dust is added to a solution of $MgCl_2$,what happens?
A
$ZnCl_2$ is formed
B
Zinc dissolves in the solution
C
No reaction takes place
D
$Mg$ is precipitated

Solution

(C) The standard reduction potential of $Mg^{2+}/Mg$ is $-2.37\,V$ and that of $Zn^{2+}/Zn$ is $-0.762\,V$.
$A$ metal with a more negative reduction potential is a stronger reducing agent and can displace a metal with a less negative (or more positive) reduction potential from its salt solution.
Since $E^o_{Mg^{2+}/Mg} < E^o_{Zn^{2+}/Zn}$,$Mg$ is a stronger reducing agent than $Zn$.
Therefore,$Zn$ cannot reduce $Mg^{2+}$ to $Mg$. Consequently,no reaction occurs when zinc dust is added to a solution of $MgCl_2$.
55
EasyMCQ
Will $Fe_{(s)}$ be oxidised to $Fe^{2+}$ by the reaction with $1 \ M$ $HCl$ ($E^o$ for $Fe/Fe^{2+} = +0.44 \ V$)?
A
Yes
B
No
C
May be
D
Can't say

Solution

(A) The oxidation reaction is $Fe_{(s)} \rightarrow Fe^{2+}_{(aq)} + 2e^-$,with $E^o_{ox} = +0.44 \ V$.
The reduction reaction is $2H^+_{(aq)} + 2e^- \rightarrow H_{2(g)}$,with $E^o_{red} = 0.00 \ V$.
The standard cell potential is $E^o_{cell} = E^o_{ox} + E^o_{red} = 0.44 \ V + 0.00 \ V = +0.44 \ V$.
Since $E^o_{cell} > 0$,the reaction is spontaneous under standard conditions.
Therefore,$Fe_{(s)}$ will be oxidised to $Fe^{2+}$ by $1 \ M$ $HCl$.
56
MediumMCQ
The $EMF$ of a cell in terms of the reduction potential of its left and right electrodes is:
A
$E = E_{left} - E_{right}$
B
$E = E_{left} + E_{right}$
C
$E = E_{right} - E_{left}$
D
$E = -(E_{right} + E_{left})$

Solution

(C) The $EMF$ of a cell is calculated as the difference between the reduction potential of the cathode (right electrode) and the reduction potential of the anode (left electrode).
Mathematically, $E_{cell} = E_{cathode} - E_{anode}$.
Since the cathode is on the right and the anode is on the left, the formula is $E = E_{right} - E_{left}$.
57
MediumMCQ
Arrange the following metals in the order of their decreasing standard electrode potential: $Mg, K, Ba, Ca$.
A
$Mg, Ca, Ba, K$
B
$K, Ba, Ca, Mg$
C
$Ba, Ca, K, Mg$
D
$Ca, Mg, K, Ba$

Solution

(A) The standard electrode potential $(E^\circ)$ values for the given metals are as follows:
$K^+/K = -2.93 \ V$
$Ba^{2+}/Ba = -2.90 \ V$
$Ca^{2+}/Ca = -2.87 \ V$
$Mg^{2+}/Mg = -2.36 \ V$
Since the values are negative,a less negative value indicates a higher (more positive) potential.
Therefore,the order of decreasing electrode potential is: $Mg > Ca > Ba > K$.
58
EasyMCQ
Which of the following has the highest electrode potential?
A
$Li$
B
$Cu$
C
$Au$
D
$Al$

Solution

(C) The standard electrode potential $(E^\circ)$ values for the given metals are as follows:
$Li^+ + e^- \rightarrow Li$ $(E^\circ = -3.04 \ V)$
$Al^{3+} + 3e^- \rightarrow Al$ $(E^\circ = -1.66 \ V)$
$Cu^{2+} + 2e^- \rightarrow Cu$ $(E^\circ = +0.34 \ V)$
$Au^{3+} + 3e^- \rightarrow Au$ $(E^\circ = +1.50 \ V)$
Comparing these values,$Au$ has the highest positive standard electrode potential among the given options.
59
MediumMCQ
The cell reaction of a cell is $Mg_{(s)} + Cu^{2+}_{(aq)} \to Cu_{(s)} + Mg^{2+}_{(aq)}$. If the standard reduction potentials of $Mg$ and $Cu$ are $-2.37 \ V$ and $+0.34 \ V$ respectively,the $EMF$ of the cell is ................. $V$.
A
$2.03$
B
$-2.03$
C
$+2.71$
D
$-2.71$

Solution

(C) The cell reaction is $Mg_{(s)} + Cu^{2+}_{(aq)} \to Cu_{(s)} + Mg^{2+}_{(aq)}$.
Here,$Mg$ is oxidized at the anode and $Cu^{2+}$ is reduced at the cathode.
The standard $EMF$ of the cell is calculated as:
$E_{cell}^o = E_{cathode}^o - E_{anode}^o$
$E_{cell}^o = E^o_{(Cu^{2+}/Cu)} - E^o_{(Mg^{2+}/Mg)}$
$E_{cell}^o = 0.34 \ V - (-2.37 \ V) = +2.71 \ V$.
60
EasyMCQ
Which of the following has been universally accepted as a reference electrode at all temperatures and has been assigned a value of zero volt?
A
Graphite electrode
B
Copper electrode
C
Platinum electrode
D
Standard hydrogen electrode

Solution

(D) The $Standard \ Hydrogen \ Electrode$ $(SHE)$ is universally accepted as the primary reference electrode.
By convention,the potential of the $SHE$ is assigned a value of $0.00 \ V$ at all temperatures.
The half-cell reaction is represented as:
$H_2(g) \rightarrow 2H^+(aq) + 2e^-$ (as an anode)
$2H^+(aq) + 2e^- \rightarrow H_2(g)$ (as a cathode)
61
MediumMCQ
Electrode potentials of five elements $A, B, C, D$ and $E$ are respectively $-1.36 \ V, -0.32 \ V, 0 \ V, -1.26 \ V$ and $-0.42 \ V$. The reactivity order of these elements is:
A
$A > D > E > B > C$
B
$C > B > E > D > A$
C
$B > D > E > A > C$
D
$C > A > E > D > B$

Solution

(A) The reactivity of an element is directly proportional to its oxidation potential.
Standard electrode potential $(E^0)$ values given are reduction potentials.
Oxidation potential = $-E^0$ (reduction potential).
Values of oxidation potentials are:
$A: -(-1.36) = 1.36 \ V$
$B: -(-0.32) = 0.32 \ V$
$C: -(0) = 0 \ V$
$D: -(-1.26) = 1.26 \ V$
$E: -(-0.42) = 0.42 \ V$
Comparing these values: $1.36 (A) > 1.26 (D) > 0.42 (E) > 0.32 (B) > 0 (C)$.
Thus,the reactivity order is $A > D > E > B > C$.
62
MediumMCQ
The $emf$ of a galvanic cell,with electrode potentials of silver $= +0.80 \ V$ and that of copper $= +0.34 \ V$,is ........... $V$.
A
$-1.1$
B
$+1.1$
C
$+0.46$
D
$+0.76$

Solution

(C) For a galvanic cell,the cathode is the electrode with the higher reduction potential and the anode is the electrode with the lower reduction potential.
Here,$E^o_{Ag^+/Ag} = +0.80 \ V$ (cathode) and $E^o_{Cu^{2+}/Cu} = +0.34 \ V$ (anode).
The $emf$ of the cell is calculated as:
$E^o_{cell} = E^o_{cathode} - E^o_{anode}$
$E^o_{cell} = 0.80 \ V - 0.34 \ V = +0.46 \ V$.
63
MediumMCQ
The standard electrode potential of the cell $H_2 | H^{+} || Ag^{+} | Ag$ is .......... $V$.
A
$0.80$
B
$-0.80$
C
$-1.20$
D
$1.20$

Solution

(A) The cell reaction is represented as: $\frac{1}{2} H_2 | H^{+} || Ag^{+} | Ag$.
The standard cell potential is calculated using the formula: $E_{Cell}^{0} = E_{Cathode}^{0} - E_{Anode}^{0}$.
Here,the cathode is the $Ag^{+}/Ag$ electrode $(E^{0} = 0.80 \ V)$ and the anode is the standard hydrogen electrode $(E^{0} = 0.00 \ V)$.
Therefore,$E_{Cell}^{0} = 0.80 \ V - 0.00 \ V = 0.80 \ V$.
64
MediumMCQ
$A$ galvanic cell with electrode potential of $A = + 2.23 \ V$ and $B = - 1.43 \ V$. The value of $E^o_{cell}$ is .............. $V$.
A
$3.66$
B
$0.80$
C
$-0.80$
D
$-3.66$

Solution

(A) In a galvanic cell,the electrode with the higher reduction potential acts as the cathode,and the electrode with the lower reduction potential acts as the anode.
Given $E_A = +2.23 \ V$ and $E_B = -1.43 \ V$.
Since $E_A > E_B$,$A$ acts as the cathode and $B$ acts as the anode.
The standard cell potential is calculated as:
$E^o_{cell} = E^o_{cathode} - E^o_{anode}$
$E^o_{cell} = E_A - E_B$
$E^o_{cell} = 2.23 \ V - (-1.43 \ V)$
$E^o_{cell} = 2.23 + 1.43 = 3.66 \ V$.
65
MediumMCQ
The e.m.f. of a cell whose half cells are given below is .............. $V$
$Mg^{2+} + 2e^- \to Mg_{(s)}$; $E^o = - 2.37 \ V$
$Cu^{2+} + 2e^- \to Cu_{(s)}$; $E^o = + 0.34 \ V$
A
$+ 1.36$
B
$+ 2.71$
C
$+ 2.17$
D
$- 3.01$

Solution

(B) Since $E^o_{Cu^{2+}/Cu} > E^o_{Mg^{2+}/Mg}$,the copper electrode acts as the cathode and the magnesium electrode acts as the anode.
The standard cell potential is calculated as:
$E^o_{cell} = E^o_{cathode} - E^o_{anode}$
$E^o_{cell} = E^o_{Cu^{2+}/Cu} - E^o_{Mg^{2+}/Mg}$
$E^o_{cell} = (+ 0.34 \ V) - (- 2.37 \ V)$
$E^o_{cell} = + 2.71 \ V$.
66
MediumMCQ
For the cell reaction,$2Ce^{4+} + Co \to 2Ce^{3+} + Co^{2+}$,$E^\circ_{cell}$ is $1.89 \ V$. If $E^\circ_{Co^{2+}/Co} = -0.28 \ V$,then $E^\circ_{Ce^{4+}/Ce^{3+}}$ is equal to:
A
$-1.64 \ V$
B
$+1.64 \ V$
C
$-2.08 \ V$
D
$+2.17 \ V$

Solution

(B) The cell reaction is $2Ce^{4+} + Co \to 2Ce^{3+} + Co^{2+}$.
In this reaction,$Co$ is oxidized to $Co^{2+}$ (anode) and $Ce^{4+}$ is reduced to $Ce^{3+}$ (cathode).
$E^\circ_{cell} = E^\circ_{cathode} - E^\circ_{anode}$
$E^\circ_{cell} = E^\circ_{Ce^{4+}/Ce^{3+}} - E^\circ_{Co^{2+}/Co}$
Given $E^\circ_{cell} = 1.89 \ V$ and $E^\circ_{Co^{2+}/Co} = -0.28 \ V$.
$1.89 = E^\circ_{Ce^{4+}/Ce^{3+}} - (-0.28)$
$E^\circ_{Ce^{4+}/Ce^{3+}} = 1.89 - 0.28 = 1.61 \ V$.
The closest option provided is $1.64 \ V$.
67
MediumMCQ
If the $\Delta G$ of a cell reaction $AgCl + e^- \to Ag + Cl^{-}$ is $-21.20 \ kJ$,the standard e.m.f. of the cell is ............ $V$.
A
$0.229$
B
$0.220$
C
$-0.220$
D
$-0.110$

Solution

(B) The relationship between Gibbs free energy change and cell potential is given by the equation: $\Delta G = -nFE^\circ$.
Here,$\Delta G = -21.20 \ kJ = -21200 \ J$.
The number of electrons transferred $(n)$ is $1$.
The Faraday constant $(F)$ is approximately $96500 \ C \ mol^{-1}$.
Rearranging the formula to solve for $E^\circ$: $E^\circ = -\frac{\Delta G}{nF}$.
Substituting the values: $E^\circ = -\frac{-21200 \ J}{1 \times 96500 \ C \ mol^{-1}} = \frac{21200}{96500} \ V \approx 0.21968 \ V$.
Rounding to two decimal places,we get $E^\circ \approx 0.220 \ V$.
68
MediumMCQ
Aluminium displaces hydrogen from dilute $HCl$ whereas silver does not. The e.m.f. of a cell prepared by combining $Al/Al^{3+}$ and $Ag/Ag^{+}$ is $2.46 \ V$. The reduction potential of silver electrode is $+0.80 \ V$. The reduction potential of aluminium electrode is $........... \ V$.
A
$+1.66$
B
$-3.26$
C
$3.26$
D
$-1.66$

Solution

(D) $Al$ displaces $H$ from $HCl$ but silver cannot; this means $Al$ is situated above $Ag$ in the $ECS$,hence $Al$ acts as the anode and $Ag$ acts as the cathode.
$E_{Cell}^0 = E_{Cathode}^0 - E_{Anode}^0$
$E_{Cell}^0 = E_{Ag^{+}/Ag}^0 - E_{Al^{3+}/Al}^0$
$2.46 \ V = 0.80 \ V - E_{Al^{3+}/Al}^0$
$E_{Al^{3+}/Al}^0 = 0.80 \ V - 2.46 \ V = -1.66 \ V$.
69
MediumMCQ
Consider the following ${E^0}$ values:
${E^0}_{Fe^{3+}/Fe^{2+}} = + 0.77 \ V$
${E^0}_{Sn^{2+}/Sn} = - 0.14 \ V$
Under standard conditions,the potential for the reaction $Sn_{(s)} + 2Fe^{3+}_{(aq)} \to 2Fe^{2+}_{(aq)} + Sn^{2+}_{(aq)}$ is ............ $V$.
A
$0.91$
B
$1.40$
C
$1.68$
D
$0.63$

Solution

(A) The given reaction is: $Sn_{(s)} + 2Fe^{3+}_{(aq)} \to 2Fe^{2+}_{(aq)} + Sn^{2+}_{(aq)}$
Here,$Sn$ is oxidized to $Sn^{2+}$ (anode) and $Fe^{3+}$ is reduced to $Fe^{2+}$ (cathode).
$E^0_{cell} = E^0_{cathode} - E^0_{anode}$
$E^0_{cell} = E^0_{Fe^{3+}/Fe^{2+}} - E^0_{Sn^{2+}/Sn}$
$E^0_{cell} = (+0.77 \ V) - (-0.14 \ V)$
$E^0_{cell} = 0.77 \ V + 0.14 \ V = 0.91 \ V$
70
MediumMCQ
$Cr_2O_7^{2-} + I^{-} \to I_2 + Cr^{3+}$
$E^0_{cell} = 0.79 \ V$
$E^0_{Cr_2O_7^{2-}} = 1.33 \ V$,$E^0_{I_2}$ is ........... $V$
A
$ - 0.10$
B
$ + 0.18$
C
$ - 0.54$
D
$0.54$

Solution

(D) The given reaction is: $Cr_2O_7^{2-} + I^{-} \to I_2 + Cr^{3+}$
In this reaction,$I^{-}$ is oxidized to $I_2$ (anode) and $Cr_2O_7^{2-}$ is reduced to $Cr^{3+}$ (cathode).
The standard cell potential is given by: $E^0_{cell} = E^0_{cathode} - E^0_{anode}$
Substituting the values: $0.79 \ V = 1.33 \ V - E^0_{I_2}$
Rearranging for $E^0_{I_2}$: $E^0_{I_2} = 1.33 \ V - 0.79 \ V = 0.54 \ V$.
Therefore,the correct option is $(D)$.
71
EasyMCQ
The standard electrode potential is measured by
A
Electrometer
B
Voltmeter
C
Pyrometer
D
Galvanometer

Solution

(B) The standard electrode potential is a measure of the potential difference between an electrode and a standard hydrogen electrode $(SHE)$ under standard conditions ($1 \ M$ concentration,$298 \ K$).
This potential difference is measured using a high-resistance voltmeter or a potentiometer to ensure that no current flows through the circuit,which would otherwise cause a voltage drop due to internal resistance.
72
MediumMCQ
Aluminium displaces hydrogen from acids but copper does not. $A$ galvanic cell prepared by combining $Cu/Cu^{2+}$ and $Al/Al^{3+}$ has an e.m.f. of $2.0 \ V$ at $298 \ K$. If the potential of copper electrode is $+0.34 \ V$,that of aluminium is .......... $V$
A
$+1.66$
B
$-1.66$
C
$+2.34$
D
$-2.3$

Solution

(B) For a galvanic cell,the cell potential is given by $E_{cell} = E_{cathode} - E_{anode}$.
Since $Al$ is more reactive than $Cu$,$Al$ acts as the anode and $Cu$ acts as the cathode.
Given $E_{cell} = 2.0 \ V$ and $E_{Cu^{2+}/Cu} = +0.34 \ V$.
Substituting the values: $2.0 \ V = 0.34 \ V - E_{Al^{3+}/Al}$.
Therefore,$E_{Al^{3+}/Al} = 0.34 \ V - 2.0 \ V = -1.66 \ V$.
73
EasyMCQ
Which of the following expressions is correct for the standard Gibbs free energy change?
A
$\Delta G^o = -nFE_{cell}^o$
B
$\Delta G^o = +nFE_{cell}^o$
C
$\Delta G^o = -2.303 \, RT \, nFE_{cell}^o$
D
$\Delta G^o = -nF \, \log K_C$

Solution

(A) The standard Gibbs free energy change $(\Delta G^o)$ is related to the standard cell potential $(E_{cell}^o)$ by the equation:
$\Delta G^o = -nFE_{cell}^o$
where $n$ is the number of moles of electrons transferred,$F$ is Faraday's constant,and $E_{cell}^o$ is the standard cell potential.
Therefore,option $(A)$ is correct.
74
EasyMCQ
For the feasibility of a redox reaction in a cell,the e.m.f. should be
A
Positive
B
Fixed
C
Zero
D
Negative

Solution

(A) redox reaction is spontaneous if the Gibbs free energy change $(\Delta G)$ is negative.
The relationship between Gibbs free energy and cell e.m.f. $(E^o)$ is given by the equation: $\Delta G^o = -nFE^o$.
Here,$n$ is the number of moles of electrons transferred,$F$ is Faraday's constant,and $E^o$ is the standard cell potential.
For $\Delta G^o$ to be negative,$E^o$ must be positive.
Therefore,for a cell reaction to be feasible (spontaneous),the e.m.f. must be positive.
75
MediumMCQ
The standard oxidation potentials for the half-reactions are given as $Zn \to Zn^{2+} + 2e^{-}; E^o = +0.76 \ V$ and $Fe \to Fe^{2+} + 2e^{-}; E^o = +0.41 \ V$. The $EMF$ for the cell reaction $Fe^{2+} + Zn \to Zn^{2+} + Fe$ is ............ $V$.
A
$-0.35$
B
$+0.35$
C
$+1.17$
D
$-1.17$

Solution

(B) The given reactions are oxidation half-reactions. The standard reduction potentials $(E^o_{red})$ are the negative of the standard oxidation potentials $(E^o_{ox})$.
$E^o_{red}(Zn^{2+}/Zn) = -0.76 \ V$
$E^o_{red}(Fe^{2+}/Fe) = -0.41 \ V$
In the cell reaction $Fe^{2+} + Zn \to Zn^{2+} + Fe$,$Zn$ is oxidized (anode) and $Fe^{2+}$ is reduced (cathode).
$E^o_{cell} = E^o_{cathode} - E^o_{anode}$
$E^o_{cell} = E^o_{red}(Fe^{2+}/Fe) - E^o_{red}(Zn^{2+}/Zn)$
$E^o_{cell} = -0.41 \ V - (-0.76 \ V)$
$E^o_{cell} = -0.41 \ V + 0.76 \ V = +0.35 \ V$.
76
MediumMCQ
$A$ gas $X$ at $1 \, atm$ is bubbled through a solution containing a mixture of $1 \, M \, Y^{-}$ and $1 \, M \, Z^{-}$ at $25 \, ^oC$. If the reduction potential of $Z > Y > X$,then
A
$Y$ will oxidize $X$ and not $Z$
B
$Y$ will oxidize $Z$ and not $X$
C
$Y$ will oxidize both $X$ and $Z$
D
$Y$ will reduce both $X$ and $Z$

Solution

(A) The reduction potential represents the tendency to gain electrons. Given the order $Z > Y > X$,$Z$ has the highest tendency to be reduced,followed by $Y$,and then $X$.
An oxidizing agent is a substance that gets reduced itself and oxidizes others. $A$ species with a higher reduction potential can oxidize a species with a lower reduction potential.
Since the reduction potential of $Y > X$,$Y$ can oxidize $X$.
Since the reduction potential of $Z > Y$,$Y$ cannot oxidize $Z$ (in fact,$Z$ would oxidize $Y$).
Therefore,$Y$ will oxidize $X$ but not $Z$.
77
DifficultMCQ
Which of the following will have a standard oxidation potential less than $SHE$?
A
$Zn$
B
$Cu$
C
$Fe$
D
$Ni$

Solution

(B) The standard oxidation potential of $SHE$ (Standard Hydrogen Electrode) is defined as $0.00 \ V$.
Elements that have a standard reduction potential greater than $0.00 \ V$ will have a standard oxidation potential less than $0.00 \ V$.
In the electrochemical series,elements placed below $H$ have positive standard reduction potentials.
$Cu$ is placed below $H$ in the electrochemical series,meaning its standard reduction potential is positive $(+0.34 \ V)$,and thus its standard oxidation potential is negative $(-0.34 \ V)$.
Therefore,$Cu$ has a standard oxidation potential less than $SHE$.
78
EasyMCQ
Which of the following is the weakest reducing agent?
A
$Zn$
B
$Cu$
C
$H_2$
D
$Li$

Solution

(B) The reducing power depends on the standard oxidation potential. $A$ species with a more positive standard reduction potential is a weaker reducing agent.
In the electrochemical series,the standard reduction potentials $(E^\circ)$ are: $Li^+/Li = -3.04 \ V$,$Zn^{2+}/Zn = -0.76 \ V$,$2H^+/H_2 = 0.00 \ V$,and $Cu^{2+}/Cu = +0.34 \ V$.
Since $Cu$ has the most positive reduction potential,it has the least tendency to lose electrons,making it the weakest reducing agent among the given options.
79
MediumMCQ
If the standard potential of the electrochemical cell for the reaction $2Ag_{(aq)}^+ + Cd_{(s)} \to Cd_{(aq)}^{2+} + 2Ag_{(s)}$ is $1.20 \ V$,calculate the standard Gibbs free energy change in $kJ$.
A
$115.8$
B
$-115.8$
C
$-213.6$
D
$-231.6$

Solution

(D) The standard Gibbs free energy change is given by the formula: $\Delta G^o = -nFE_{cell}^o$.
Here,$n = 2$ (number of electrons transferred),$F = 96500 \ C \ mol^{-1}$ (Faraday's constant),and $E_{cell}^o = 1.20 \ V$.
Substituting the values: $\Delta G^o = -2 \times 96500 \times 1.20 = -231600 \ J \ mol^{-1}$.
Converting to $kJ$: $\Delta G^o = -231.6 \ kJ \ mol^{-1}$.
80
MediumMCQ
Which of the following metals will not evolve $H_2$ gas from dilute $H_2SO_4$ solution?
A
$Zn$
B
$Al$
C
$Cu$
D
$Mg$

Solution

(C) In the electrochemical series,metals with a negative standard reduction potential can displace $H_2$ from dilute acids.
$Cu$ has a positive standard reduction potential $(E^o = +0.34 \ V)$,which means it is placed below hydrogen in the electrochemical series.
Therefore,$Cu$ cannot displace $H_2$ from dilute $H_2SO_4$ solution.
81
MediumMCQ
Bubbles of gas $z$ are evolved from a solution containing $x$ and $y$. If the order of reduction potential is $x > y > z$,then:
A
$y$ oxidizes $z$ but not $x$.
B
$y$ oxidizes $x$ but not $z$.
C
$y$ oxidizes both $x$ and $z$.
D
$y$ reduces both $x$ and $z$.

Solution

(A) The reduction potential indicates the tendency of a species to get reduced. $A$ higher reduction potential means a stronger oxidizing agent.
Given the order of reduction potential: $x > y > z$.
Since $z$ has the lowest reduction potential,it acts as the strongest reducing agent and is easily oxidized.
Species with higher reduction potential can oxidize species with lower reduction potential.
Therefore,$y$ (having higher reduction potential than $z$) can oxidize $z$,but $y$ cannot oxidize $x$ (as $x$ has a higher reduction potential than $y$).
82
MediumMCQ
Which of the following metals will not reduce $H_2O$?
A
$Ca$
B
$Fe$
C
$Cu$
D
$Li$

Solution

(C) The ability of a metal to reduce $H_2O$ depends on its position in the electrochemical series.
Metals that are more reactive than hydrogen (those with negative standard reduction potentials) can displace hydrogen from $H_2O$.
$Ca$,$Fe$,and $Li$ have negative standard reduction potentials and can reduce $H_2O$.
$Cu$ has a positive standard reduction potential $(E^o = +0.34 \ V)$,meaning it is less reactive than hydrogen and cannot reduce $H_2O$ to $H_2$ gas.
83
EasyMCQ
Which of the following metals will not release $H_{2(g)}$ upon reaction with an acid?
A
$Cu$
B
$Fe$
C
$Mn$
D
$Zn$

Solution

(A) $Cu$ is less reactive than hydrogen in the electrochemical series. Therefore,it cannot displace hydrogen from an acid.
84
MediumMCQ
At ${25 \, ^\circ C}$,the standard reduction potentials for $Li^+/Li$,$Ba^{2+}/Ba$,$Na^+/Na$,and $Mg^{2+}/Mg$ are $-3.05 \, V$,$-2.73 \, V$,$-2.71 \, V$,and $-2.36 \, V$ respectively. Which of the following is the strongest oxidizing agent?
A
$Na^+$
B
$Li^+$
C
$Ba^{2+}$
D
$Mg^{2+}$

Solution

(D) The strength of an oxidizing agent is directly proportional to its standard reduction potential.
$A$ higher reduction potential indicates a greater tendency to gain electrons,thus acting as a stronger oxidizing agent.
Comparing the given values:
$Li^+/Li = -3.05 \, V$
$Ba^{2+}/Ba = -2.73 \, V$
$Na^+/Na = -2.71 \, V$
$Mg^{2+}/Mg = -2.36 \, V$
Among the given options,$Mg^{2+}$ has the highest (least negative) reduction potential.
Therefore,$Mg^{2+}$ is the strongest oxidizing agent.
85
MediumMCQ
The standard cell potential of a cell consisting of copper and $Mg$ standard half-cells is $2.7 \ V$. If the standard reduction potential of the copper electrode is $+0.34 \ V$,what is the standard reduction potential of the magnesium electrode in volts?
A
$3.04$
B
$-3.04$
C
$2.36$
D
$-2.36$

Solution

(D) The standard cell potential is given by the formula: ${E^0}_{cell} = {E^0}_{cathode} - {E^0}_{anode}$.
Since $Cu$ has a higher reduction potential than $Mg$,$Cu$ acts as the cathode and $Mg$ acts as the anode.
Thus,${E^0}_{cell} = {E^0}_{Cu^{2+}|Cu} - {E^0}_{Mg^{2+}|Mg}$.
Substituting the given values: $2.7 = 0.34 - {E^0}_{Mg^{2+}|Mg}$.
Rearranging the equation: ${E^0}_{Mg^{2+}|Mg} = 0.34 - 2.7$.
Therefore,${E^0}_{Mg^{2+}|Mg} = -2.36 \ V$.
86
MediumMCQ
The standard electrode potentials are: $K^{+}/K = -2.93 \ V$,$Ag^{+}/Ag = 0.80 \ V$,$Hg^{2+}/Hg = 0.79 \ V$,$Mg^{2+}/Mg = -2.37 \ V$,$Cr^{3+}/Cr = -0.74 \ V$. Arrange these metals in the increasing order of their reducing power.
A
$Ag < Mg < K < Hg < Cr$
B
$Mg < Cr < Hg < Ag < K$
C
$Hg < Mg < K < Ag < Cr$
D
$Ag < Hg < Cr < Mg < K$
87
EasyMCQ
The $E^{0}_{Red}$ values of $A, B,$ and $C$ are $+0.5 \ V, -3.0 \ V,$ and $-1.2 \ V$ respectively. The order of their reducing power is:
A
$B > C > A$
B
$A > B > C$
C
$C > B > A$
D
$A > C > B$

Solution

(A) The reducing power of an element is inversely proportional to its standard reduction potential $(E^{0}_{Red})$.
Lower $E^{0}_{Red}$ value indicates a stronger reducing agent.
Given values are: $E^{0}_{A} = +0.5 \ V$,$E^{0}_{B} = -3.0 \ V$,$E^{0}_{C} = -1.2 \ V$.
Comparing the values: $-3.0 < -1.2 < +0.5$.
Therefore,the order of reducing power is $B > C > A$.
88
EasyMCQ
$A$ cell is constructed by dipping a copper rod in $1\,M\,CuSO_4$ solution and a nickel rod in $1\,M\,NiSO_4$ solution. The standard reduction potentials of copper and nickel electrodes are $+0.34\,V$ and $-0.25\,V$ respectively. Calculate the $EMF$ of the cell. (in $,V$)
A
$0.83$
B
$1.06$
C
$0.59$
D
$0.49$

Solution

(C) The cell reaction involves the oxidation of $Ni$ to $Ni^{2+}$ (anode) and the reduction of $Cu^{2+}$ to $Cu$ (cathode).
$E^o_{cell} = E^o_{cathode} - E^o_{anode}$
Given $E^o_{Cu^{2+}/Cu} = +0.34\,V$ and $E^o_{Ni^{2+}/Ni} = -0.25\,V$.
$E^o_{cell} = (+0.34\,V) - (-0.25\,V) = 0.59\,V$.
89
MediumMCQ
The electrode potentials are given as follows:
$Fe_{(aq)}^{3+} + e^- \to Fe_{(aq)}^{2+}$; $E^o = 0.771 \, V$
$I_{2(s)} + 2e^- \to 2I_{(aq)}^-$; $E^o = 0.536 \, V$
For the cell reaction $2Fe_{(aq)}^{3+} + 2I_{(aq)}^- \to 2Fe_{(aq)}^{2+} + I_{2(s)}$,the value of $E^o_{cell}$ is:
A
$(2 \times 0.771 - 0.536) = 1.006 \, V$
B
$(0.771 - 0.5 \times 0.536) = 0.503 \, V$
C
$0.771 - 0.536 = 0.235 \, V$
D
$0.536 - 0.771 = -0.235 \, V$

Solution

(C) The cell reaction is: $2Fe^{3+} + 2I^- \to 2Fe^{2+} + I_2$
Reduction half-reaction: $2Fe^{3+} + 2e^- \to 2Fe^{2+}$; $E^o_{red} = 0.771 \, V$
Oxidation half-reaction: $2I^- \to I_2 + 2e^-$; $E^o_{ox} = -E^o_{red} = -0.536 \, V$
$E^o_{cell} = E^o_{red} + E^o_{ox} = 0.771 \, V + (-0.536 \, V) = 0.235 \, V$
90
MediumMCQ
The $E^{0}_{Red}$ values of $A, B, C,$ and $D$ are $0.8 \, V, 0.79 \, V, 0.34 \, V,$ and $-2.37 \, V$ respectively. Which element can displace the other three from their salt solutions?
A
$B$
B
$A$
C
$D$
D
$C$

Solution

(C) The ability of an element to displace others from their salt solutions depends on its reducing power.
An element with a lower $E^{0}_{Red}$ value has a higher $E^{0}_{Oxi}$ value,making it a stronger reducing agent.
Comparing the given values: $E^{0}_{Red}(A) = 0.8 \, V$,$E^{0}_{Red}(B) = 0.79 \, V$,$E^{0}_{Red}(C) = 0.34 \, V$,and $E^{0}_{Red}(D) = -2.37 \, V$.
Since $D$ has the lowest $E^{0}_{Red}$ value $(-2.37 \, V)$,it has the highest oxidation potential.
Therefore,$D$ acts as the strongest reducing agent and can displace $A, B,$ and $C$ from their respective salt solutions.
91
EasyMCQ
The standard electrode potentials for $Ag^{+}/Ag$,$Hg_2^{2+}/2Hg$,$Cu^{2+}/Cu$,and $Mg^{2+}/Mg$ are $0.80 \, V$,$0.79 \, V$,$0.34 \, V$,and $-2.37 \, V$ respectively. If an aqueous solution containing $1 \, M$ concentration of each of these metal ions is electrolyzed,what is the correct order of metal deposition at the cathode as the voltage is increased?
A
$Ag, Hg, Cu$
B
$Mg, Cu, Hg, Ag$
C
$Ag, Hg, Cu, Mg$
D
$Mg, Ag, Hg, Cu$
92
MediumMCQ
The $E^{0}_{Red}$ values for $Li, Zn, H,$ and $Ag$ are $-3.05 \ V, -0.76 \ V, 0.00 \ V,$ and $0.80 \ V$ respectively. Which of these has the highest reducing power?
A
$Ag$
B
$H_2$
C
$Zn$
D
$Li$

Solution

(D) The reducing power of a substance is inversely proportional to its standard reduction potential $(E^{0}_{Red})$.
Lower (more negative) $E^{0}_{Red}$ values indicate a greater tendency to lose electrons,thereby acting as a stronger reducing agent.
Comparing the given values: $Li (-3.05 \ V) < Zn (-0.76 \ V) < H_2 (0.00 \ V) < Ag (0.80 \ V)$.
Since $Li$ has the most negative reduction potential,it has the highest reducing power.
93
EasyMCQ
Calculate the standard cell potential for the galvanic cell $Zn_{(s)} | Zn^{2+}_{(aq)} || Ag^{+}_{(aq)} | Ag_{(s)}$,given that $E^o_{Zn^{2+}/Zn} = -0.76 \ V$ and $E^o_{Ag^{+}/Ag} = +0.80 \ V$. (in $V$)
A
$0.04$
B
$-0.04$
C
$1.56$
D
$-1.56$

Solution

(C) The standard cell potential $E^o_{cell}$ is calculated using the formula: $E^o_{cell} = E^o_{cathode} - E^o_{anode}$.
In the given cell $Zn_{(s)} | Zn^{2+}_{(aq)} || Ag^{+}_{(aq)} | Ag_{(s)}$,the oxidation occurs at the $Zn$ electrode (anode) and reduction occurs at the $Ag$ electrode (cathode).
Here,$E^o_{cathode} = E^o_{Ag^{+}/Ag} = +0.80 \ V$ and $E^o_{anode} = E^o_{Zn^{2+}/Zn} = -0.76 \ V$.
Substituting the values: $E^o_{cell} = 0.80 \ V - (-0.76 \ V) = 0.80 \ V + 0.76 \ V = 1.56 \ V$.
94
AdvancedMCQ
Given $E_{Fe^{3+}|Fe}^0 = -0.036 \ V$ and $E_{Fe^{2+}|Fe}^0 = -0.439 \ V$,calculate $E^0_{cell}$ for the reaction $Fe^{3+} + e^{-} \rightarrow Fe^{2+}$.
A
$-0.072$
B
$0.385$
C
$0.770$
D
$-0.270$

Solution

(C) For $Fe^{3+} + 3e^{-} \rightarrow Fe$,$\Delta G_1 = -nFE^0 = -3 \times F \times (-0.036) = 0.108F$.
For $Fe^{2+} + 2e^{-} \rightarrow Fe$,$\Delta G_2 = -nFE^0 = -2 \times F \times (-0.439) = 0.878F$.
We need the reaction $Fe^{3+} + e^{-} \rightarrow Fe^{2+}$.
This can be obtained by: $(Fe^{3+} + 3e^{-}$ $\rightarrow Fe) - (Fe^{2+} + 2e^{-}$ $\rightarrow Fe)$.
Therefore,$\Delta G_3 = \Delta G_1 - \Delta G_2 = 0.108F - 0.878F = -0.770F$.
Since $\Delta G_3 = -nFE^0_{cell}$ and $n=1$,we have $-1 \times F \times E^0_{cell} = -0.770F$.
Thus,$E^0_{cell} = 0.770 \ V$.
95
EasyMCQ
The $E^o$ values of half-cells are given below. Which combination of two half-cells will form a cell with the maximum potential?
$(i)$ $A + e^- \rightarrow A^- ; E^o = -0.24 \ V$
$(ii)$ $B^- + e^- \rightarrow B^{2-} ; E^o = +1.25 \ V$
$(iii)$ $C^- + 2e^- \rightarrow C^{3-} ; E^o = -1.25 \ V$
$(iv)$ $D + 2e^- \rightarrow D^{2-} ; E^o = +0.68 \ V$
A
$(ii)$ and $(iii)$
B
$(ii)$ and $(iv)$
C
$(i)$ and $(iii)$
D
$(i)$ and $(iv)$

Solution

(A) The cell potential $E^o_{cell}$ is calculated as $E^o_{cell} = E^o_{cathode} - E^o_{anode}$.
To obtain the maximum potential,we must choose the half-cell with the highest reduction potential as the cathode and the half-cell with the lowest reduction potential as the anode.
Comparing the given values:
$E^o_{(i)} = -0.24 \ V$
$E^o_{(ii)} = +1.25 \ V$ (Highest)
$E^o_{(iii)} = -1.25 \ V$ (Lowest)
$E^o_{(iv)} = +0.68 \ V$
Thus,the cathode is $(ii)$ and the anode is $(iii)$.
$E^o_{cell} = 1.25 - (-1.25) = 2.50 \ V$.
96
EasyMCQ
The standard reduction potentials at $25^o \text{C}$ for $Li^{+}/Li$,$Ba^{2+}/Ba$,$Na^{+}/Na$,and $Mg^{2+}/Mg$ are $-3.05 \ V$,$-2.73 \ V$,$-2.71 \ V$,and $-2.37 \ V$ respectively. Which of the following is the strongest oxidizing agent?
A
$Na^{+}$
B
$Li^{+}$
C
$Ba^{2+}$
D
$Mg^{2+}$

Solution

(D) The strength of an oxidizing agent is directly proportional to its standard reduction potential $(E^o_{red})$.
Greater the value of $E^o_{red}$,stronger is the oxidizing agent.
The given reduction potentials are:
$E^o(Li^{+}/Li) = -3.05 \ V$
$E^o(Ba^{2+}/Ba) = -2.73 \ V$
$E^o(Na^{+}/Na) = -2.71 \ V$
$E^o(Mg^{2+}/Mg) = -2.37 \ V$
Comparing these values,$-2.37 \ V$ is the highest value.
Therefore,$Mg^{2+}$ is the strongest oxidizing agent among the given species.

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