93. (a)Present graphically solubility product information illustrating the relative strengths of Al and Si as molten steel deoxidizers. (b)With appropriate graphs,show the relative ability of the rare earths to deoxidize and desulfurize molten steel. (c)Explain the difference between dissolved oxygen,combined oxygen,and total oxygen,in the context of steel deoxidation. (d)Very briefly,why is it advantageous to use several deoxidizing agents in combination? 94.A liquid flows upward through a rube,overflows,and then flows downward as a film on the outside. (a)For steady-state laminar flow,develop the pertinent momentum balance that applies to the falling film,neglecting end effects. (b)Develop an expression for the velocity distribution. 97. (a)For small spherical droplets of a pure metal,derive an expression for the variation of equilibrium vapor pressure with radius(r)and surface energy (a).Define all appropriate terms. (b)For a regular binary mixture,AHmixine=a X2 where x,and x2 are the mole fractions of components 1 and 2 and a is a constant for the given binary mixture. (i)Describe the system parameters that determine a. (ii)Derive an expression for the partial molar heat of component 2,H2-H2 (c)Is the regular mixing model of part(b)applicable in the case of H dissolving interstitially in Fe?Explain.93. (a) Present graphically solubility product information illustrating the relative strengths of Al and Si as molten steel deoxidizers. (b) With appropriate graphs, show the relative ability of the rare earths to deoxidize and desulfurize molten steel. (c) Explain the difference between dissolved oxygen, combined oxygen, and total oxygen, in the context of steel deoxidation. (d) Very briefly, why is it advantageous to use several deoxidizing agents in combination? 94. A liquid flows upward through a rube, overflows, and then flows downward as a film on the outside. (a) For steady-state laminar flow, develop the pertinent momentum balance that applies to the falling film, neglecting end effects. (b) Develop an expression for the velocity distribution. 97. (a) For small spherical droplets of a pure metal, derive an expression for the variation of equilibrium vapor pressure with radius (r) and surface energy (a). Define all appropriate terms. (b) For a regular binary mixture, Δ Hmixing = a X1X2 where x, and x2 are the mole fractions of components 1 and 2 and α is a constant for the given binary mixture. (i) Describe the system parameters that determineα . (ii) Derive an expression for the partial molar heat of component 2, H2-H2 0 . (c) Is the regular mixing model of part (b) applicable in the case of _H dissolving interstitially in Fe? Explain