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The E^(@) at 25^(@) for the following re...

The `E^(@)` at `25^(@)` for the following reaction at the indicated concentration is 1.50 V. Calculate the `DeltaG` in kJ at `25^(@)` C:
`Cr(s)+3Ag^(+)(aq,0.1M)`
`rarrAg(s)+Cr^(3+)(aq,0.1M)`

A

`-140.94`

B

`-295`

C

`-212`

D

`-422.83`

Text Solution

Verified by Experts

The correct Answer is:
D
`DeltaG=DeltaG^(@)+RT " In" Q`
`rArr-nFE^(@)+2.303RT " log"([Cr^(3+)])/[Ag^(3)]^(3)`
`DeltaG=-3xx96500xx1.50+8.314xx298`
`2.303"log"((0.1))/((0.1)^(3))rArr-422838.3J or -422.83 kJ`
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