Tollen reagent is used for the detection of aldehydes. When a solution of `AgNO_(3)` is added to glucose with `NH_(4)OH`, then gluconic acid is formed.
`Ag^(o+)+e^(-) rarr Ag," "E^(c-)._(red)=0.8V`
`C_(6)H_(12)O_(6)rarr underset(Gluconic aci d)(C_(6)H_(12)O_(7)+)2H^(o+)+2e^(-) , " "E^(c-)._(o x i d ) =-0.05V`
`[Ag(NH_(3))_(2)]^(o+)+e^(-) rarr Ag(s)+2NH_(3), " "E^(c-)._(red)=0.337V`
`[Use2.303xx(RT)/(F)=0.0592` and `(F)/(RT)=38.92at 298 K ]`
`2Ag^(o+)+C_(6)H^(12)O_(6)+H_(2)O rarr 2Ag^(s)+C_(6)H_(12)O_(7)+2H^(o+)` Find `lnK` of this reaction.

Options

A. `12.7`
B. `25.33`
C. `28.30`
D. `46.29`

Answer

B

Explanation

For reaction
`C_(6)H_(12)O_(6) + H_(2)O + 2Ag^(+) rarr C_(6)H_(12)O_(7) + 2H^(+) + 2Ag`
`E^(@) = E_(OP_("glucose"))^(@) + E_(RP_(Ag^(+)//Ag))^(@)`
`E^(@) = -0.05 + 0.80 = 0.75 V`
Now ` nFE^(@) = 2.303 Rtlog_(10)K`
`log_(10)K = (nFE^(@))/(2.303 RT) = (nE^(@))/(2.303 RT//F)`
`= (2 xx 0.75)/(0.0592) = 25.33`