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Consider the cell : Pt|H(2)(p(1)atm)|H...

Consider the cell `:`
`Pt|H_(2)(p_(1)atm)|H^(o+)(x_(1)M) || H^(o+)(x_(2)M)|H_(2)(p_(2)atm)Pt`.
The cell reaction be spontaneous if

A

`p_(1)=p_(2)`

B

`p_(1)gtp_(2)`

C

`p_(2)gtp_(1)`

D

`p_(1)=1 atm`

Text Solution

Verified by Experts

The correct Answer is:
b
Cell is spontaneous when `p_(1)(` anode `)gtp_(2)(` cathode `)`
`E_(cell)=0.05[pH_(a)-pH_(c)+(1)/(2)log.((pH_(2))_(a))/((pH_(2))_(c))]`
`=0.059[0-0+(1)/(2)log.(p_(1))/(p_(2))]`
Thus, `E_(cell)gt0` if `p_(1)gtp_(2)`
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