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JEE Advanced 2006
Exam
JEE Advanced
Year
2006
Subject
Chemistry
Chapter
Electrochemistry

JEE Advanced 2006 · Chemistry · Electrochemistry

Paragraph: Tollen's reagent is used for the detection of aldehyde...

Paragraph: Tollen's reagent is used for the detection of aldehyde when a solution of AgNO3\mathrm{AgNO}_3 is added to glucose with NH4OH\mathrm{NH}_4 \mathrm{OH} then gluconic acid is formed Ag++e−→AgEred ∘=0.8 VC6H12O6+H2O→ Gluconic acid (C6H12O7)+2H++2e−;−Ered∘=−0.05 VAg(NH3)2++e−→Ag(s)+2NH3;Ered∘=0.337 V\begin{array}{rr}\mathrm{Ag}^{+}+e^{-} \rightarrow \mathrm{Ag} & E_{\text{red }}^{\circ}=0.8 \mathrm{~V} \\ \mathrm{C}_6 \mathrm{H}_{12} \mathrm{O}_6+\mathrm{H}_2 \mathrm{O} \rightarrow \text{ Gluconic acid }\left(\mathrm{C}_6 \mathrm{H}_{12} \mathrm{O}_7\right)+2 \mathrm{H}^{+}+2 e^{-} ; & -E_{\mathrm{red}}^{\circ}=-0.05 \mathrm{~V} \\ \mathrm{Ag}\left(\mathrm{NH}_3\right)_2^{+}+e^{-} \rightarrow \mathrm{Ag}(s)+2 \mathrm{NH}_3 ; & E_{\mathrm{red}}^{\circ}=0.337 \mathrm{~V}\end{array} [Use 2.303×RTF=0.05922.303 \times \frac{R T}{F}=0.0592 and FRT=38.92\frac{F}{R T}=38.92 at 298 K298 \mathrm{~K} ]Question: When ammonia is added to the solution, pH\mathrm{pH} is raised to 11 . Which half-cell reaction is affected by pH\mathrm{pH} and by how much?

Options

  1. AEoxd E_{\text{oxd }} will increase by a factor of 0.650.65 from E_{\text{oxd }^{\circ}
  2. BEoxd E_{\text{oxd }} will decrease by a factor of 0.650.65 from E_{\text{oxd }^{\circ}
  3. CEred E_{\text{red }} will increase by a factor of 0.650.65 from E_{\text{red }^{\circ}
  4. DEred E_{\text{red }} will decrease by a factor of 0.650.65 from E_{\text{red }^{\circ}

Correct answer

C. Ered E_{\text{red }} will increase by a factor of 0.650.65 from E_{\text{red }^{\circ}

Step-by-step solution

On increasing concentration of NH3\mathrm{NH}_3, the concentration of H+\mathrm{H}^{+} ion decreases, therefore Ered=Ered∘−0.0592nlog⁡10[H+]2=0−0.05922×2log⁡1010−11(∵pH=11;∴[H+]=10−11M)=−0.0592×11=0.6512V=0.65V\begin{aligned} E_{\mathrm{red}} & =E_{\mathrm{red}}^{{}^{\circ}}-\frac{0.0592}{n} \log _{10}\left[\mathrm{H}^{+}\right]^2 \\ & =0-\frac{0.0592}{2} \times2 \log _{10} 10^{-11} \quad\left(\because \mathrm{pH}=11 ; \therefore\left[\mathrm{H}^{+}\right]=10^{-11} \mathrm{M}\right)\\ & =-0.0592 \times11=0.6512 \mathrm{ V}=0.65 \mathrm{ V} \end{aligned}E_{\text{red }}increasedbyafactorofincreased by a factor of0.65fromfromE_{\text{red }}^{{}^{\circ}}$.
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