Write molecular formulae and structures of the following compounds :
(a) Dithionic acid
(b) Peroxy monosulphuric acid
(c ) Pyrosulphuric acid
(d) Dithionous acid
Calculate `E_("cell")and DeltaG` for the following at `28^(@)C` :
`Mg(s)+Sn^(2+)(0*04M)toMg^(2+)(0*06M)+Sn_((s))E_("cell")^(0)=2*23V`
Is the reaction apontaneous ?

Explanation

Given : Cell reaction
`Mg_((s))+Sn_((aq))^(2+)+Sn_((s))`
`E_("cell")^(@)=2*23,[Sn^(2+)]0*04M`
`[Mg^(2+)]=0*06M,n=2`
`E_("cell")=E_("cell")^(@)-(0*0592)/(2)"log"_(10)([Mg^(2+)])/([Sn^(2+)])`
`=2*23-(0*0592)/(2)"log"_(10)([0*06])/([0*04])`
`=2*23-0*296*"log"_(10)[1*5]`
`=2*23-0*296(0*1760)`
`=2*23-0*0052096`
`=2*2247904=2*224V`
`DeltaG=-nFE_("cell")`
`Delta=-2xx96500xx2*224`
`=429*232J=-429*2KJ`
Since, `DeltaG` for a given cell reaction is negative, the given reaction is spontaneous.