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Will the following reaction be spontaneo...

Will the following reaction be spontaneous under standard conditions?
(a) `Fe+Mg^(2+)rarr Fe^(2+) +Mg`
(b) `Cd+Cl_(2)rarrCd^(2+)+2Cl^(-)`
`["Given : "E_(Fe^(2+)|Fe)^(@)=-0.44V, E_(Mg^(2+)|Mg)=-2.37V, E_(Cd^(2+)|Cd)^(@)=-0.40V, E_((1)/(2)Cl_(2)|Cl^(-))^(@)=+1.36V]`

Text Solution

Verified by Experts

Anode reaction : `Fe(s)rarr Fe^(2+)(aq)+2e`
Cathode reaction : `Mg^(2+)(aq)+2e rarrMg(s)`
`E_("cell")^(@)=E_("cathode")^(@)-E_(anode")^(@)=-2.37+0.44=-1.93`
As `E_("cell")^(@)lt0`, the reaction will bot occur spontaneously.
(b) Anode reaction : `Cd(s)rarr Cd^(2+)(aq)+2e`
Cathode reaction : `Cl_(2)(g)+2e rarr 2Cl^(-)(aq)`
`E_("cell")^(@)=E_("cathode")^(@)-E_("anode")^(@)=+1.36+0.40=+1.76`
As `E_("cell")^(@)gt0`, the reaction will occur spontaneously.
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