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4. (a) If the standard reduction potential (E°) for the half-reaction is ε₁and ε₂, respectively, calculate E° for the half-reaction ? (5%)

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3. (a) What's the total number of structural and geometric (cis-trans) isomers of C3H5Cl? (5%)

(b) Which of the followings (dimethylamine, amine, aniline, diphenylamine, methylamine) is the weakest base? (5%)

(c) Describe how to make 2-methyl-2-propanol from an alkene. (5%)

(d) Plot the ideal H-NMR spectra for C2H5COOH. (5%)

(b) Use a d-orbital splitting diagram to rationalize the stability of tetrahedral complex ions. (5%)

5. (a) 2 moles of CO2(g) at 300 K and 2.0 atm expands isothermally against a constant external pressure of 1.0 atm. Calculate q in the surroundings and ΔS of the universe. (10%)

(b) The heat of vaporization of water at the normal boiling point, 373 K, is 40.7 kJ/mol. The specific heat capacity of liquid water is 4.2 J and of gaseous water is 2.0 J . Assume that these values are independent of temperature. Calculate the molar heat of vaporization of water at 298 K? (5%)

6. For the reaction C2H4 + H2 → C2H6 in the presence of mercury vapor, a possible mechanism is:Hg + H2 → Hg + 2H (rate constant k₁)H + C2H4 → C2H5 (rate constant k₂)C2H5 + H2 → C2H6 + H (rate constant k3)H + H → H2 (rate constant k4)Determine the rate law for the production of C2H6 using the steady-state approximation. (12%)

(a) Solve the Schrödinger equation by using A sin(kx) as a trial solution to determine k and total energy E in terms of quantum number n. (10%)

(b) Calculate the probability of finding the particle between L/6 to L/2 if n = 3. (5%)

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