How to do this question for A and D (electrolysis half cells)?

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1 Answer
Apr 11, 2018

Here's what I get.

Explanation:

Part a

The positive terminal of the battery connects to A. Thus,

  • A and C are the anodes (where oxidation occurs)

  • B and D are the cathodes (where reduction occurs)

Part b

1. Half-reaction at anode A

  • #"C"# is an inert electrode. It will not be oxidized.

  • #"Al"^"3+"# is already oxidized

  • #"H"_2"O"# is the only remaining candidate.

In #"H"_2"O, H"# is already in the +1 oxidation state, but the oxidation number of #"O"# can go from -2 to 0.

The anode half-reaction is

#color(blue)("2H"_2"O" → "O"_2 + "4H"^"+" + "4e"^"-")#

2. Half-reaction at cathode B

The possibilities are:

  • #2"H"_2"O" + "2e"^"-" → "H"_2 + 2"OH"^"-" ; E^@ = "-0.82 V"#
  • #"Al"^"3+" + 3"e"^"-" →"Al"; color(white)(mmmmll)E^@ = "-1.66 V"#

It is easier to reduce water than it is to reduce #"Al"^"3+"#.

The cathode half-reaction is

#color(blue)(2"H"_2"O" + "2e"^"-" → "H"_2 + 2"OH"^"-")#

3. Half-reaction at anode C

The possibilities are

  • #"Cu"^"2+" + 2"e"^"-" →"Cu"; color(white)(mmmll)E^@ = "+0.337"#

  • #"O"_2 + "4H"^"+" + "4e"^"-" → "2H"_2"O"; E^@ = "+1.229 V"#

It is easier to oxidize copper than water, so the anode half-reaction is

#color(blue)("Cu" → "Cu"^"2+" + 2"e"^"-")#

4. Half-reaction at cathode D

The possibilities are:

  • #2"H"^"+" + "2e"^"-" → "H"_2; color(white)(mmmmll)E^@ = "0 V"#
  • #2"H"_2"O" + "2e"^"-" → "H"_2 + 2"OH"^"-" ; E^@ = "-0.82 V"#

It is easier to reduce #"H"^"+"# than water.

The cathode half-reaction is

#color(blue)(2"H"^"+" + "2e"^"-" → "H"_2)#