a) For the spreading of the oil C16H34 over water, at constant temperature and pressure, a small change in the surface free energy of the system is given by the total differential: ƏG ƏG ƏG dAB dG =) dA₂+ -) dAAB+ JAAB JAB Knowing that the values of the surface tensions are: Ywater = 72.8 mN m-¹ Y C16H34 = 30.0 mN m-¹ Y C16H34/water = 52.1 mN m-¹ Derive from the above equation an expression for the spreading coefficient and calculate the spreading coefficient for C₁6H34 on water. b) Consider the Gibbs energy of the total system made of two perfect gases (A and B) in two separate containers, at constant temperature and pressure: Gi = μANA + μBnB = NA (μA + RT Inp) + nB (uB +RT Inp) After mixing the two gases, the partial pressures of the gases are PA and P.B. Prove mathematically that the (isothermal and isobaric) enthalpy of mixing AH mix = 0. c) Suggest a mechanism for cis/trans exchange and equilibration of bridging and terminal carbonyl groups in the compound [Cp₂Fe(CO)2] 2. Calculate the free energy of activation for the cis/trans exchange process given that the slow exchange peak separation for the Cp protons is 0.120 ppm at 100 MHz and coalescence is 224 K. AG 19.1T. [10.32-log (k/Tc)]

a) For the spreading of the oil C16H34 over water, at constant temperature and pressure, a small change in the surface free energy of the system is given by the total differential: ƏG ƏG ƏG dAB dG =) dA₂+ -) dAAB+ JAAB JAB Knowing that the values of the surface tensions are: Ywater = 72.8 mN m-¹ Y C16H34 = 30.0 mN m-¹ Y C16H34/water = 52.1 mN m-¹ Derive from the above equation an expression for the spreading coefficient and calculate the spreading coefficient for C₁6H34 on water. b) Consider the Gibbs energy of the total system made of two perfect gases (A and B) in two separate containers, at constant temperature and pressure: Gi = μANA + μBnB = NA (μA + RT Inp) + nB (uB +RT Inp) After mixing the two gases, the partial pressures of the gases are PA and P.B. Prove mathematically that the (isothermal and isobaric) enthalpy of mixing AH mix = 0. c) Suggest a mechanism for cis/trans exchange and equilibration of bridging and terminal carbonyl groups in the compound [Cp₂Fe(CO)2] 2. Calculate the free energy of activation for the cis/trans exchange process given that the slow exchange peak separation for the Cp protons is 0.120 ppm at 100 MHz and coalescence is 224 K. AG 19.1T. [10.32-log (k/Tc)]

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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