Write the nernst equation and e.m.f. of the following cells at 298K : Mg_((s))|Mg^(2+)(0.001 M)||Cu^(2+)(0.0001 M)|Cu_((s)) (b)Fe_((s))|Fe^(2+)(0.001 M)||H^(+)(1 M)|H_(2(g))(1"bar")|Pt_((s)) (c) Sn_((s))|Sn^(2+)(0.050 M)||H^(+)(0.020 M)|H_(2(g))(1"bar")|Pt_((s)) (d) Pt_((s))|Br_(2(l))|Br^(-)(0.010 M)||H^(+)(0.030 M)|H_(2(g))(1"bar")|Pt_((s)) Given : E_(OP)^(@)Mg = 2.36 V, E_(OP)^(@)Cu = -0.34 V, E_(OP)^(@)Fe = 0.44 V, E_(OP)^(@)Sn = 0.14 V and E_(OP)^(@)Br_(2) = -1.09V respectively.

Write the nernst equation and e.m.f. of the following cells at 298K :

1.	Write the nernst equation and e.m.f. of the following cells at 298K : Mg_((s))\|Mg^(2+)(0.001 M)\|\|Cu^(2+)(0.0001 M)\|Cu_((s)) (b)Fe_((s))\|Fe^(2+)(0.001 M)\|\|H^(+)(1 M)\|H_(2(g))(1"bar")\|Pt_((s)) (c) Sn_((s))\|Sn^(2+)(0.050 M)\|\|H^(+)(0.020 M)\|H_(2(g))(1"bar")\|Pt_((s)) (d) Pt_((s))\|Br_(2(l))\|Br^(-)(0.010 M)\|\|H^(+)(0.030 M)\|H_(2(g))(1"bar")\|Pt_((s)) Given : E_(OP)^(@)Mg = 2.36 V, E_(OP)^(@)Cu = -0.34 V, E_(OP)^(@)Fe = 0.44 V, E_(OP)^(@)Sn = 0.14 V and E_(OP)^(@)Br_(2) = -1.09V respectively.
Answer» Solution :`E_(CELL)^(@) = E_(OP_(Mg//Mg^(2+)))^(@)+E_(RP_(CU^(2+)//Cu)) + (0.059)/(2)"log" ([Cu^(2+)])/ ([Mg^(2+)])` <BR> `= 2.36 + 0.34 + (0.059)/(2)"log"(10^(-4))/(10^(-3))` `= 2.67 V` (b) `E_(cell)^(@) = E_(OP_(Fe//Fe^(2+)))^(@)+E_(RP_(2H^(+)//H_(2)))^(@) + (0.059)/(2)"log"[H^(+)]^(2)/([P_(H_(2))][Fe^(2+)])` `= 0.44 + 0 + (0.059)/(2)"log"(1^(2))/((1) XX(0.001))` `= 0.53 V` (c) `E_(cell)^(@) = E_(OP_(Sn//Sn^(2+)))^(@)+E_(RP_(2H^(+)//H))^(@) + (0.059)/(2)"log"[H^(+)]^(2)/((P_(H_(2)))xx[Sn^(2+)])` `= 0.44 + 0 + (0.059)/(2)"log"((0.02)^(2))/((1) xx(0.05))` `= 0.08 V` (d)`E_(cell)^(@) = E_(OP_(Br_(2)//Br^(-)))^(@)+E_(RP_(2H^(+)//H_(2)))^(@) + (0.059)/(2)"log"[H^(+)]^(2)/((P_(H_(2)))xx[Br^(-)]^(2))` `= -1.09 + 0 + (0.059)/(2)"log"((0.03)^(2))/((1) xx(0.01)^(2))` `= -1.06 V`