Match List -I (Equations) with List -II (Type of processes) and select the correct option.
`{:(,"List -I",,"List -II"),(,"Equation",,"Type of processes"),((a),K_(p)gt Q,(i),"Non spontaneous"),((b),Delta G^(@)lt RT ln Q,(ii),"Equilibrium"),((c ),Kp = Q,(iii),"Spontaneous and endothermic"),((d),T gt (Delta H)/(Delta S),(iv),"Spontaneous"):}`

Answer

c

Explanation

(A) `K_(p) gt Q` or`Q lt K_(p0` means that the reaction will proceed in the forward direction, i.e., reaction is spontaneous .Hence, `Ararr(s)`
(B) `DeltaG= DeltaG^(@) + RT ln Q`
At equilibrium , `DeltaG=0, Q=K`. Hence,
`DeltaG^(@) = - RT ln K`
`:. DeltaG^(@) = - RT ln K( i.e., DeltaG^(@)0 + RT ln Q`
When `DeltaG^(@) lt RT ln Q, Delta G` is `+ve`.
Therefore, forward reaction is non-spontaneous.
Hence,`B rarr (p)` ,brgt (C ) `K_(p) = Q` means that the reaction is in equilibrium . Hence, `C rarr (q)`.
(D ) `T gt (DeltaH)/(DeltaS)` means `T DeltaS gt DeltaH ` . As`DeltaG = DeltaH-T DeltaS`
Hence,reaction is spontaneous, i.e.,`DeltaG ` is -ve only when `DeltaH` is `+ve` . Hence, `D rarr( r )`.