02. Cell Constant
ELECTROCHEMISTRY

276116 Assertion : The cell potential of mercury cell is $1.35 \mathrm{~V}$, which remains constant.
Reason : In mercury cell, the electrolyte is paste of $\mathrm{KOH}$ and $\mathrm{ZnO}$.

1 If both Assertion and Reason are correct and the Reason is the correct explanation of Assertion.
2 If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
3 If Assertion is correct but Reason is in correct.
4 If both the Assertion and Reason are incorrect.
ELECTROCHEMISTRY

276118 Cell equation:
$\mathrm{A}+2 \mathrm{~B}^{2+} \rightarrow \mathrm{A}^{2+}+2 \mathrm{~B}$
$\mathrm{A}^{2+}+2 \mathrm{e}^{-} \rightarrow \mathrm{A} \quad \mathrm{E}^{0}=+0.34 \mathrm{~V}$
and $\log _{10} K=15.6$ at $300 K$ for cell reactions.
Find $\mathbf{E}^{0}$ for $\mathrm{B}^{+}+\mathrm{e}^{-} \rightarrow \mathrm{B}$
Given $\left[\frac{2.303 R T}{F}=0.059\right]$ at $300 \mathrm{~K}$

1 0.80
2 1.26
3 -0.54
4 +0.94
ELECTROCHEMISTRY

276119 Consider the following cell reaction:
\$2 \mathrm{Fe}(\mathrm{s})+\mathrm{O}_{2}(\mathrm{~g})+4 \mathrm{H}^{+}(\mathrm{aq}) \longrightarrow
$2 \mathrm{Fe}^{2+}(\mathrm{aq})+2 \mathrm{H}_{2} \mathrm{O}(\mathrm{I}) ; \mathrm{E}^{0}=1.67 \mathrm{~V}$
$\operatorname{At}\left[\mathrm{Fe}^{2+}\right]=10^{-3} \mathrm{M}, \mathrm{p}\left(\mathrm{O}_{2}\right)=0.1$ atm and $\mathrm{pH}=3$, the cell potential at $25^{\circ} \mathrm{C}$ is

1 $1.47 \mathrm{~V}$
2 $1.77 \mathrm{~V}$
3 $1.87 \mathrm{~V}$
4 $1.57 \mathrm{~V}$
ELECTROCHEMISTRY

276120 The cell constant of a given cell is $0.47 \mathrm{~cm}^{-1}$.
The resistance of solution placed in this cell is measured to be $31.6 \mathrm{ohm}$. The conductivity of the solution (in $\mathrm{S} \mathrm{cm}^{-1}$ where $\mathrm{S}$ has usual meaning) is

1 0.15
2 1.5
3 0.015
4 150
ELECTROCHEMISTRY

276116 Assertion : The cell potential of mercury cell is $1.35 \mathrm{~V}$, which remains constant.
Reason : In mercury cell, the electrolyte is paste of $\mathrm{KOH}$ and $\mathrm{ZnO}$.

1 If both Assertion and Reason are correct and the Reason is the correct explanation of Assertion.
2 If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
3 If Assertion is correct but Reason is in correct.
4 If both the Assertion and Reason are incorrect.
ELECTROCHEMISTRY

276118 Cell equation:
$\mathrm{A}+2 \mathrm{~B}^{2+} \rightarrow \mathrm{A}^{2+}+2 \mathrm{~B}$
$\mathrm{A}^{2+}+2 \mathrm{e}^{-} \rightarrow \mathrm{A} \quad \mathrm{E}^{0}=+0.34 \mathrm{~V}$
and $\log _{10} K=15.6$ at $300 K$ for cell reactions.
Find $\mathbf{E}^{0}$ for $\mathrm{B}^{+}+\mathrm{e}^{-} \rightarrow \mathrm{B}$
Given $\left[\frac{2.303 R T}{F}=0.059\right]$ at $300 \mathrm{~K}$

1 0.80
2 1.26
3 -0.54
4 +0.94
ELECTROCHEMISTRY

276119 Consider the following cell reaction:
\$2 \mathrm{Fe}(\mathrm{s})+\mathrm{O}_{2}(\mathrm{~g})+4 \mathrm{H}^{+}(\mathrm{aq}) \longrightarrow
$2 \mathrm{Fe}^{2+}(\mathrm{aq})+2 \mathrm{H}_{2} \mathrm{O}(\mathrm{I}) ; \mathrm{E}^{0}=1.67 \mathrm{~V}$
$\operatorname{At}\left[\mathrm{Fe}^{2+}\right]=10^{-3} \mathrm{M}, \mathrm{p}\left(\mathrm{O}_{2}\right)=0.1$ atm and $\mathrm{pH}=3$, the cell potential at $25^{\circ} \mathrm{C}$ is

1 $1.47 \mathrm{~V}$
2 $1.77 \mathrm{~V}$
3 $1.87 \mathrm{~V}$
4 $1.57 \mathrm{~V}$
ELECTROCHEMISTRY

276120 The cell constant of a given cell is $0.47 \mathrm{~cm}^{-1}$.
The resistance of solution placed in this cell is measured to be $31.6 \mathrm{ohm}$. The conductivity of the solution (in $\mathrm{S} \mathrm{cm}^{-1}$ where $\mathrm{S}$ has usual meaning) is

1 0.15
2 1.5
3 0.015
4 150
ELECTROCHEMISTRY

276116 Assertion : The cell potential of mercury cell is $1.35 \mathrm{~V}$, which remains constant.
Reason : In mercury cell, the electrolyte is paste of $\mathrm{KOH}$ and $\mathrm{ZnO}$.

1 If both Assertion and Reason are correct and the Reason is the correct explanation of Assertion.
2 If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
3 If Assertion is correct but Reason is in correct.
4 If both the Assertion and Reason are incorrect.
ELECTROCHEMISTRY

276118 Cell equation:
$\mathrm{A}+2 \mathrm{~B}^{2+} \rightarrow \mathrm{A}^{2+}+2 \mathrm{~B}$
$\mathrm{A}^{2+}+2 \mathrm{e}^{-} \rightarrow \mathrm{A} \quad \mathrm{E}^{0}=+0.34 \mathrm{~V}$
and $\log _{10} K=15.6$ at $300 K$ for cell reactions.
Find $\mathbf{E}^{0}$ for $\mathrm{B}^{+}+\mathrm{e}^{-} \rightarrow \mathrm{B}$
Given $\left[\frac{2.303 R T}{F}=0.059\right]$ at $300 \mathrm{~K}$

1 0.80
2 1.26
3 -0.54
4 +0.94
ELECTROCHEMISTRY

276119 Consider the following cell reaction:
\$2 \mathrm{Fe}(\mathrm{s})+\mathrm{O}_{2}(\mathrm{~g})+4 \mathrm{H}^{+}(\mathrm{aq}) \longrightarrow
$2 \mathrm{Fe}^{2+}(\mathrm{aq})+2 \mathrm{H}_{2} \mathrm{O}(\mathrm{I}) ; \mathrm{E}^{0}=1.67 \mathrm{~V}$
$\operatorname{At}\left[\mathrm{Fe}^{2+}\right]=10^{-3} \mathrm{M}, \mathrm{p}\left(\mathrm{O}_{2}\right)=0.1$ atm and $\mathrm{pH}=3$, the cell potential at $25^{\circ} \mathrm{C}$ is

1 $1.47 \mathrm{~V}$
2 $1.77 \mathrm{~V}$
3 $1.87 \mathrm{~V}$
4 $1.57 \mathrm{~V}$
ELECTROCHEMISTRY

276120 The cell constant of a given cell is $0.47 \mathrm{~cm}^{-1}$.
The resistance of solution placed in this cell is measured to be $31.6 \mathrm{ohm}$. The conductivity of the solution (in $\mathrm{S} \mathrm{cm}^{-1}$ where $\mathrm{S}$ has usual meaning) is

1 0.15
2 1.5
3 0.015
4 150
ELECTROCHEMISTRY

276116 Assertion : The cell potential of mercury cell is $1.35 \mathrm{~V}$, which remains constant.
Reason : In mercury cell, the electrolyte is paste of $\mathrm{KOH}$ and $\mathrm{ZnO}$.

1 If both Assertion and Reason are correct and the Reason is the correct explanation of Assertion.
2 If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
3 If Assertion is correct but Reason is in correct.
4 If both the Assertion and Reason are incorrect.
ELECTROCHEMISTRY

276118 Cell equation:
$\mathrm{A}+2 \mathrm{~B}^{2+} \rightarrow \mathrm{A}^{2+}+2 \mathrm{~B}$
$\mathrm{A}^{2+}+2 \mathrm{e}^{-} \rightarrow \mathrm{A} \quad \mathrm{E}^{0}=+0.34 \mathrm{~V}$
and $\log _{10} K=15.6$ at $300 K$ for cell reactions.
Find $\mathbf{E}^{0}$ for $\mathrm{B}^{+}+\mathrm{e}^{-} \rightarrow \mathrm{B}$
Given $\left[\frac{2.303 R T}{F}=0.059\right]$ at $300 \mathrm{~K}$

1 0.80
2 1.26
3 -0.54
4 +0.94
ELECTROCHEMISTRY

276119 Consider the following cell reaction:
\$2 \mathrm{Fe}(\mathrm{s})+\mathrm{O}_{2}(\mathrm{~g})+4 \mathrm{H}^{+}(\mathrm{aq}) \longrightarrow
$2 \mathrm{Fe}^{2+}(\mathrm{aq})+2 \mathrm{H}_{2} \mathrm{O}(\mathrm{I}) ; \mathrm{E}^{0}=1.67 \mathrm{~V}$
$\operatorname{At}\left[\mathrm{Fe}^{2+}\right]=10^{-3} \mathrm{M}, \mathrm{p}\left(\mathrm{O}_{2}\right)=0.1$ atm and $\mathrm{pH}=3$, the cell potential at $25^{\circ} \mathrm{C}$ is

1 $1.47 \mathrm{~V}$
2 $1.77 \mathrm{~V}$
3 $1.87 \mathrm{~V}$
4 $1.57 \mathrm{~V}$
ELECTROCHEMISTRY

276120 The cell constant of a given cell is $0.47 \mathrm{~cm}^{-1}$.
The resistance of solution placed in this cell is measured to be $31.6 \mathrm{ohm}$. The conductivity of the solution (in $\mathrm{S} \mathrm{cm}^{-1}$ where $\mathrm{S}$ has usual meaning) is

1 0.15
2 1.5
3 0.015
4 150