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The standard electrode potential E^(Thet...

The standard electrode potential `E^(Theta)` and its temperature coefficent `((dE^Theta)/(d T))` for a cell are 2V and `-5xx10^(-4)VK^(-1)` at 300 K respectively. The cell reaction is `Zn(s)+Cu^(2+)(aq)to Zn^(2+)(aq) +Cu(s)`.
The standard reaction enthalpy `(Delta_(t)H^(Theta))` at 300 K is `4.12 xx10^(x) J//"mol"`. Numerical value of x is _________________ [Use `R=8JK^(-1)mol^(-1) and F=96,000 C "mol"^(-1)`].

Text Solution

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The correct Answer is:
5
`Delta G=-n FE =-2xx9600xx2=-384000=-384 Kj`.
`Delta S=n F ( d E)/( d T)=2xx96000xx(-5xx10^-4)=-960000xx10^(-4)=-96J`.
`therefore T Delta S=300xx(-96)=-28800=-28.8kJ`.
`therefore Delta G =Delta H-T Delta S`( at constant T and pressure)
`rArr Delta H=-384+(-28.8)=-412.8kJ=412xx10^(5)J`.
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