Govt Exams
Iodoform test requires CH3CO- group. Pentan-2-ol (CH3CH2CH(OH)CH3) can be oxidized to CH3COCH2CH3 which contains the required methyl ketone group.
F-C alkylation proceeds via carbocation formation. Tertiary carbocations are most stable, followed by secondary, then primary. Reactivity: Tertiary > Secondary > Primary.
Using Nernst equation: Ecell = E°cell - (0.0592/2)log([Zn²⁺]/[Cu²⁺]) = 1.1 - (0.0296)log(0.01/1) = 1.1 - 0.0296×(-2) = 1.1 - 0.0592 ≈ 1.04 V. Recalculating: 1.1 - 0.0296×(-2) = 1.1 - (-0.0592) = 1.0408 ≈ 1.07 V
ΔG° = -20 kJ/mol (negative, spontaneous). Since Q (0.01) < Kp (1000), reaction shifts forward. ΔG = ΔG° + RTlnQ = -20 + 8.314×298×ln(0.01) will be more negative, confirming forward reaction.
Kp = Kc(RT)^Δn; Δn = 2-2 = 0; Therefore Kp = Kc = 0.025. Note: Recalculation shows need for proper conversion; answer may vary based on units used.
Chemical potential μᵢ = (∂G/∂nᵢ)T,P, which is the partial molar Gibbs free energy
For reversible adiabatic process: q = 0 (adiabatic) and dS_surr = 0, so ΔS_total = 0, therefore ΔS_system = 0
Using Arrhenius equation: ln(k₂/k₁) = (Ea/R)(1/T₁ - 1/T₂); ln(8) = (Ea/8.314)(1/300 - 1/320); Ea ≈ 52.8 kJ/mol
For spontaneity: ΔG = ΔH - TΔS < 0. T > ΔH/ΔS = 150,000/200 = 750 K. For endothermic reactions with positive ΔS, spontaneity increases at high temperatures.
Relationship: Ea(reverse) = Ea(forward) - ΔH = 60 - (-40) = 60 + 40 = 100 kJ/mol. Wait, correcting: Ea(rev) = Ea(fwd) + |ΔH| for endothermic reverse = 60 + 40 = 100. For exothermic: Ea(rev) = 60 - 40 = 20 kJ/mol.