JEE CHEMISTRY MCQ: ELECTRO CHEMISTRY

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Application +4 | -1

During the electrolysis of

0.1 \mathrm{~M}-\mathrm{CuSO}_4

solution using copper electrodes, a depletion of

\mathrm{Cu}^{2+}

occurs near the cathode with a corresponding excess near the anode, owing to inefficient stirring of the solution. If the local concentration of

\mathrm{Cu}^{2+}

near the anode and cathode are, respectively,

0.12 \mathrm{~M}

and

0.08 \mathrm{~M},

the back EMF developed at

298 \mathrm{~K}

(\log 1.5=0.18,2.303 R T / F=0.06)

View answer and explanation

Correct option: B

5.4 \mathrm{~mV}

Option B (

5.4 \mathrm{~mV}

) is correct because the back EMF is calculated using the Nernst equation with the given concentrations.

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25^{\circ} \mathrm{C}

0.295 \mathrm{~V}

{p_1}{\kern 1pt} {\kern 1pt} \mathrm{and}{\kern 1pt} {\kern 1pt} {p_2}

\mathop {\mathrm{Pt}\left( {{\mathrm{H}_2}} \right)}\limits_{{p_1}} \left| {\mathop {{\mathrm{H}^ + }\left( {aq} \right)}\limits_{1\mathrm{ }M} } \right|\mathop {Pt\left( {{\mathrm{H}_2}} \right)}\limits_{{p_2}}

\mathrm{CuS}{\mathrm{O}_4}

{AlCl}_3

STP

({F}=96500 {C})

2 \mathrm{Ag}(\mathrm{s})+\mathrm{S}^{2-}(\mathrm{aq}) \rightarrow \mathrm{Ag}_2 \mathrm{S}(\mathrm{s})+2 \mathrm{e}^{-}

\mathrm{pH}=3

0.1 \mathrm{~M}-\mathrm{H}_2 \mathrm{S},

\mathrm{H}_2 \mathrm{S}, K_{\mathrm{a}_1}=10^{-8} ; K_{\mathrm{a}_2}=10^{-13}, K_{\mathrm{sp}}

\mathrm{Ag}_2 \mathrm{S}=4 \times 10^{-48},

E^{\circ}_{{\mathrm{Ag} | \mathrm{Ag}}^{+}}=0.80 \mathrm{~V},

\log 2=0.3,

2.303 R T / F=0.06