Question 41. A binary liquid mixture is in equilibrium with its vapor at a temperature T = 300 K. The liquid mole fraction x1 of species 1 is 0.4 and the molar excess Gibbs free energy is 200 J/mol. The value of the universal gas constant is 8.314 J/mol-K, and Ï’i denotes the liquid-phase activity coefficient of species i. If ln(Ï’1) = 0.09, then the value of ln(Ï’2), up to 2 digits after the decimal point, is ________

Question 42. In the elutriation leg of a commercial crystallizer containing a mixture of coarse and very fine crystals of the same material, a liquid is pumped vertically upward. The liquid velocity is adjusted such that it is slightly lower than the terminal velocity of the coarse crystals only. Hence

Question 43. Calculate the heat required (in kJ, up to 1 digit after the decimal point) to raise the temperature of 1 mole of a solid material from 100oC to 1000oC. The specific heat (CP) of the material (in J/mol-K) is expressed as CP = 20 + 0.005T, where T is in K. Assume no phase change. _________

Question 44. 100 ton/h of a rock feed, of which 80% passed through a mesh size of 2.54 mm, were reduced in size such that 80% of the crushed product passed through a mesh size of 1.27 mm. The power consumption was 100 kW. If 100 ton/h of the same material is similarly crushed from a mesh size of 5.08 mm to a mesh size of 2.54 mm, the power consumption (in kW, to the nearest integer) using Bond's law, is _____________

Question 45. Consider the following set of linear algebraic equations x1 + 2x2 + 3x3 = 2 x2 + x3 = - 1 2x2 + 2x3 = 0The system has

Question 46. A box containing 10 identical compartments has 6 red balls and 2 blue balls. If each compartment can hold only one ball, then the number of different possible arrangements are

Question 47. If a and b are arbitrary constants, then the solution to the ordinary differential equation d2y/dx2 - 4y = 0 is

Question 48. For the function f(t) = e-t/T, the Taylor series approximation for t

Question 49. In a throttling process, the pressure of an ideal gas reduces by 50 %. If CP and CV are the heat capacities at constant pressure and constant volume, respectively (r = CP/CV) the specific volume will change by a factor of

Question 50. Water is flowing under laminar conditions in a pipe of length L . If the diameter of the pipe is doubled, for a constant volumetric flow rate, the pressure drop across the pipe