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Calculate the electrical work (at standa...

Calculate the electrical work (at standard state) obtained from galvanic cell : `Mg|Mg^(2+)(aq)||Ag^(+)(aq)|Ag`
Given : `E_(Mg^(2+)|Mg)^(@)=-2.36V and E_(Ag^(2+)|Ag)^(@)=+0.80V`

Text Solution

Verified by Experts

`{:("Anode reaction: "Mg(s)" "rarr" "Mg^(2+)(aq)+2e),("Cathode reaction : "2Ag^(+)(aq)+2e" "rarr" "2Ag(s)),(bar(" Cell reaction: "Mg(s)+2Ag^(2+)(aq)" "rarr" "Mg^(2+)(aq)+2Ag(s))):}`
As 2 mol electrons are involved in the cell reaction, n = 2.
The standard EMF of the cell, `E_("cell")^(@)=E_("cathode")^(@)-E_("anode")^(@)`
`=E_(Ag^(+)|Ag)^(@)-E_(Mg^(2+)|Mg)^(@)=0.80-(-2.36)=+3.16V`
Therefore, the electrical work doen by the cell,
`W_("el")=nFE_("cell")^(@)`
`2xx96500xx3.16=609880" V.C"=609.88kJ.`
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