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Electrochemistry

Question
CBSEENCH12010213

a) What type of a battery is the lead storage battery? Write the anode and the cathode reactions and the overall reaction occurring in a lead storage battery when current is drawn from it.

 

(b) In the button cell, widely used in watches, the following reaction takes place

Zn left parenthesis straight s right parenthesis space plus Ag subscript 2 straight O space plus straight H subscript 2 straight O space rightwards arrow Zn to the power of 2 plus end exponent left parenthesis aq right parenthesis space plus 2 Ag left parenthesis straight s right parenthesis space plus 2 OH to the power of minus left parenthesis aq right parenthesis

Determine E° and   G° for the reaction  left parenthesis given space straight E subscript bevelled Ag to the power of plus over Ag end subscript superscript 0 space equals space plus 0.80 straight V comma space straight E subscript bevelled Zn to the power of 2 plus end exponent over Zn end subscript superscript 0 space equals negative 0.76 straight V right parenthesis space

Solution

A lead storage battery has a secondary cell. Thus, it can be recharged by passing direct current through it. Therefore, it can be reused. It is used in automobiles.

In a lead storage cell, the anode is made of spongy lead and the cathode is a grid of lead packed with lead dioxide. The electrolyte used is H2SO4.

At space anode colon space
Pb space plus SO subscript 4 superscript 2 minus end superscript space rightwards arrow PbSO subscript 4 space plus 2 straight e to the power of minus
At space cathode colon
PbO subscript 2 space plus SO subscript 4 superscript 2 minus end superscript space plus 4 straight H to the power of plus plus 2 straight e to the power of minus rightwards arrow PbSO subscript 4 space plus 2 straight H subscript 2 straight O
Overall space cell space reaction colon
Pb space plus PbO subscript 2 space plus 4 straight H to the power of plus space plus SO subscript 4 superscript 2 minus end superscript space rightwards arrow space 2 PbSO subscript 4 space plus 2 straight H subscript 2 straight O

left parenthesis straight b right parenthesis space From space the space given space reaction comma space it space is space known space that space zinc space is space oxidized space and space silver space is space reduced space in space the space button space cell. space space
The space reactions space occurring space at space the space anode space and space cathode space are space minus

Anode colon space Zn left parenthesis straight s right parenthesis space space rightwards arrow Zn to the power of 2 plus end exponent left parenthesis aq right parenthesis space plus 2 straight e to the power of minus

Cathode colon space Ag subscript 2 straight O space left parenthesis straight s right parenthesis space plus straight H subscript 2 straight O space left parenthesis straight l right parenthesis space space plus 2 straight e to the power of minus space rightwards arrow 2 Ag left parenthesis straight s right parenthesis space plus 2 OH to the power of minus

Now comma

straight E subscript cell superscript 0 space equals straight E subscript cathode superscript 0 minus straight E subscript anode superscript 0

equals space straight E subscript bevelled Ag to the power of plus over Ag end subscript superscript 0 space minus space straight E subscript bevelled Zn to the power of 2 plus end exponent over Zn end subscript superscript 0
equals 0.80 minus left parenthesis negative 0.76 right parenthesis
We space know space that space
increment subscript straight r straight G to the power of 0 space equals negative nE to the power of 0 straight F
Here comma
straight n equals 2
straight F equals 96500 straight C space mol to the power of negative 1 end exponent
increment subscript straight r straight G to the power of 0 space equals negative 2 space straight x space 1.56 space straight x space 96500 space straight J space mol to the power of negative 1 end exponent
equals space minus 301080 space straight J space mol to the power of negative 1 end exponent