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The following diagram represents a $H^+(aq)/H_2(g)$ half cell for the reaction $$2H^+(aq) + 2e^- \rightleftharpoons H_2(g)$$ **a.** **i.** For this half cell, identify an appropriate material for electrode Z - VCE - SSCE Chemistry - Question 7 - 2007 - Paper 1

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The-following-diagram-represents-a-$H^+(aq)/H_2(g)$-half-cell-for-the-reaction--$$2H^+(aq)-+-2e^--\rightleftharpoons-H_2(g)$$--**a.**---**i.**-For-this-half-cell,-identify-an-appropriate-material-for-electrode-Z-VCE-SSCE Chemistry-Question 7-2007-Paper 1.png

The following diagram represents a $H^+(aq)/H_2(g)$ half cell for the reaction $$2H^+(aq) + 2e^- \rightleftharpoons H_2(g)$$ **a.** **i.** For this half cell, id... show full transcript

Worked Solution & Example Answer:The following diagram represents a $H^+(aq)/H_2(g)$ half cell for the reaction $$2H^+(aq) + 2e^- \rightleftharpoons H_2(g)$$ **a.** **i.** For this half cell, identify an appropriate material for electrode Z - VCE - SSCE Chemistry - Question 7 - 2007 - Paper 1

Step 1

i. For this half cell, identify an appropriate material for electrode Z.

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Answer

An appropriate material for electrode Z could be platinum (Pt), graphite, palladium (Pd), or gold (Au), as these materials serve well as inert electrodes in electrochemical cells.

Step 2

ii. For this half cell to be a standard half cell, state the temperature at which it must operate.

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Answer

The standard operating temperature for the half cell is 25°C (or 298 K).

Step 3

The stronger reductant is __________

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Answer

The stronger reductant is Cadmium (Cd). This conclusion is based on the observation that as the pH in half cell 1 increased, it indicates that H+H^+ ions are being reduced, and since Cadmium reduces Cd2+ Cd^{2+} ions with a more negative standard reduction potential compared to the hydrogen half cell reaction, it serves as a stronger reductant.

Step 4

i. Calculate the amount, in mol, of X^{2-} that reacted in half cell 1.

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Answer

To calculate the amount of X2X^{2-} that reacted:

  1. Initial concentration: 1.00 M.
  2. Final concentration: 0.725 M.
  3. Change in volume for X2X^{2-}: 100.0 mL.
  4. Amount reacted:

mol of X2=(1.000.725)×0.100L=0.0275extmol\text{mol of } X^{2-} = (1.00 - 0.725) \times 0.100 \, \text{L} = 0.0275 \, ext{mol}

Step 5

ii. Calculate the ratio of n(X^{2-}) reacted to n(e^-) that passed through the cell.

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Answer

From Faraday's law, charge (Q) can be related to moles of electrons (n) using:

n(e)=QFn(e^-) = \frac{Q}{F}

Where FF = Faraday's constant (96500C/mol96500 \, C/mol).

So, n(e)=2654C96500C/mol=0.0274moln(e^-) = \frac{2654 \, C}{96500 \, C/mol} = 0.0274 \, mol

Thus, the ratio is:

n(X2):n(e)=0.0275:0.02741:1n(X^{2-}) : n(e^-) = 0.0275 : 0.0274 \approx 1 : 1

Step 6

iii. State the oxidation state of the product of the half reaction in half cell 1.

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Answer

The oxidation state of the product (X2X^{2-}) in half cell 1 is +2.

Step 7

iv. Write an equation for the half reaction that occurred at the electrode of half cell 1.

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Answer

The half reaction at the electrode of half cell 1 can be written as:

X2X2++2eX^{2-} \rightarrow X^{2+} + 2e^-

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