Calawod, Stiffa Love Condino, Simel Grace Moran, Brant Reactors Google Docs Link: https://docs.google.com/document/d/18gAkMR_SkyUKlD74IMVuCOCF_HaZ_z_XStuJa-VNh4o/ edit Mock Boards General Engineering: 1. Ultrasound refers to sounds whose frequencies are above __________. A. 10,000 Hz B. 20,000 Hz C. 30,000 Hz D. 40,000 Hz 2. Water is pouring into a swimming pool. After t hours, there are t + √t gallons in the pool. At what rate is the water pouring into the pool when t = 9 hours? A. B. C. D. 4/3 gph 5/2 gph 1 gph 3/2 gph Soln. (9+√9)/9 = 12/9 = 4/3 For questions 3 to 5: A projectile is fired by a Pyro Gunslinger with an initial speed of 65 m/s at an angle of 30 degrees above the horizontal on a long flat firing range. 3. Determine the total time of the projectile in the air. A. 3.32 s B. 8.78 s C. 5.86 s D. 6.64 s 4. Determine the maximum height reached by the projectile. A. 94.42 m B. 53.89 m C. 89. 36 m D. 79.28 m 5. Determine range of the projectile. A. B. C. D. 373.77 m 539.44 m 315.80 m 296.68 m 6. If 24 people joined a quiz bowl, in how many ways can these people be seated in the first, second and third seat? A. B. C. D. 255024 12144 32760 360360 Soln: 24P3=12144 7. How many significant digits do 10.097 have? A. B. C. D. 5 4 3 2 8. 7 + 0i is? A. B. C. D. Irrational number Real number Imaginary Even 9. Which of the following cannot be a probability A. B. C. D. 1 0 1/e 0.21682 10. Integrate dx/(x+3) from -2 to 8 A. 5/12 B. 1/8 C. ln 11 D. ln 10 Soln: ln(8+3) - ln(-2+3) = ln(11) - ln(1) = ln(11) 11. Express decimally: Fourteen Ten thousandths A. B. C. D. 0.14 0.00014 0.0014 0.1410000 12. MCMXCIV is equivalent to what number? A. B. C. D. 1994 1974 1984 1964 For questions 13-14: The Crux is 690 m away from the Guyun Stone Forest that defends the Liyue Harbor. A Guizhong Ballista at sea level fires javelins at an initial velocity of 91 m/s at an angle of 42 degrees. 13. Determine the maximum height of the javelin. A. B. C. D. 272.30 m 189.26 m 235.16 m 132.13 m 14. Determine the total time traveled by the javelin in the air. A. B. C. D. 14. 91 s 7.45 s 6.21 s 12.43 s 15. What is the value in degrees of 1 radian? A. B. C. D. 360 0.0174533 57.3 90 16. 4800 mils is equivalent to ____ degrees. A. B. C. D. 145 270 320 270 17. What is the absolute temperature of the freezing point of water in degree Rankine? A. B. C. D. 492 478 482 456 18. The standard acceleration due to gravity is A. B. C. D. 9.8 ft/s² 32.2 ft/s² 27 ft/s² 24.7 ft/s² 19. Factor the expression x^2 + 6x + 8 as completely as possible A. B. C. D. (x-4) (x+2) (x+4) (x+2) (x-2) (x-4) (x+2) (x-4) 20. What is the least common multiple of 15 and 18? A. B. C. D. 60 30 36 90 21. The arithmetic mean of a and b is A. B. C. D. (a+b)/2 (a+b)/b (a+b)/a (a+b)/(a+b) 22. The moment of inertia of an object is dependent on which of the following? A. B. C. D. The object’s size and shape The object’s mass The location of the axis of rotation All of these 23. The terms of a sum may be grouped in any manner without affecting the result. this is law known as A. B. C. D. Associative Law Commutative Law Distributive Law Republic Law 24. What is another term for a vector product of two vectors? A. B. C. D. Cross product Vector product Dot product Plus product 25. “The ratio of the sines of the angles of incidence and refraction is equal to the ratio of the speeds of light in the two media”. This statement is known as ________. A. B. C. D. Huygen’s principle Snell’s law Maxwell’s hypothesis Mandela effect 26. What refers to the effect when a beam containing more than one frequency is split into a corresponding number of different beams when it is refracted? A. Flux B. Refraction C. Reflection D. Dispersion 27. The standard acceleration due to gravity is A. 32.2 m/s2 B. 382 in/s2 C. 0.0061 mi/s2 D. 9.8 mm/s2 28. Air exerts force that is opposite to the car’s motion. What is this force called? A. B. C. D. Reverse effective force Air force Drag force Aerodynamic force 29. Roll a pair of dice. What is the probability that the sum of two numbers is 11? A. B. C. D. 1/36 1/9 1/18 1/20 Soln: (2/6)*(1/6)=1/18 30. Determine the probability of drawing either a king or a diamond in a single draw from a pack of 52 playing cards A. B. C. D. 2/13 3/13 4/13 1/13 Soln: There are 13 diamond cards and 4 kings but 1 of those kings is a diamond thus, (13/52)+(3/52) = 16/52 or 4/13 31. Find the 4th term of the expansion of (x^3+2)^11 A. B. C. D. 4455x^24 4475x^24 4485x^24 4505x^24 Soln: (p+q)^n=nC(r-1)p^(n-r+1)q(r-1) 11C3 * (x^3)^(11-4+1) * 3^(4-1) 165*(x^24)*(3)^3 4455x^24 32. In how many ways can you invite one or more of your 8 friends in a party? A. B. C. D. 255 254 226 245 Soln: 8C8+8C7+8C6+8C5+8C4+8C3+8C2+8C1=255 33. What is the number of permutations of the letters in the word CHEMICAL? A. B. C. D. 2520 1380 5440 5040 Soln: 7!/2!=2520 Chemical Engineering Physical and Chemical Principles: 1. A student adds 0.1 mol of oxalic acid and 0.1 mol of sodium dihydrogen phosphate to enough water to make 1.0 L of solution. The following equilibrium is established with the concentrations of the products greater than the concentrations of the reactants. Which of the statements about the equilibrium system is correct? H2C2O4(aq) + H2PO4–(aq) HC2O4–(aq) + H3PO4(aq) A. The dihydrogen phosphate anion, H2PO4–, is a stronger acid than oxalic acid. B. The hydrogen oxalate anion, HC2O4–, is a stronger base than the dihydrogen phosphate anion, H2PO4–. C. Water is a stronger acid than either oxalic or phosphoric acids. D. Oxalic acid is a weaker acid than phosphoric acid. E. Phosphoric acid is a weaker acid than oxalic acid. 2.Which one of the following substances will give an aqueous solution of pH < 7? A. CH3OH B. Na2CO3 C. NH4Br D. CH3COONa E. KI Soln: NH4Br is the only base among the choices. 3. Butyric acid is responsible for the odor in rancid butter. A solution of 0.25 M butyric acid has a pH of 2.71. What is the Ka for the acid? A. 0.36 B. 1.5 × 10–5 C. 2.4 × 10–2 D. 7.8 × 10–3 E. none of the above Soln: 4.For which of the following processes would ΔS° be expected to be most positive? A. B. C. D. E. O2(g) + 2H2(g) → 2H2O(g) H2O(l) → H2O(s) NH3(g) + HCl(g) → NH4Cl(g) 2NH4NO3(s) → 2N2(g) + O2(g) + 4H2O(g) N2O4(g) → 2NO2(g) Reasoning: Positive ΔS° means higher disorder, phase change from solid to liquid or solid to gas have positive entropy change due to increasing disorder of the nature of their molecules. 5. Which of the following is true? A. By spontaneous we mean that the reaction or process will always proceed to the right (as written) even if very slowly. Increasing the temperature may speed up the reaction, but it does not affect the spontaneity of the reaction. B. By spontaneous we mean that the reaction or process will always proceed to the left (as written) even if very slowly. Increasing the temperature may speed up the reaction, but it does not affect the spontaneity of the reaction. C. By spontaneous we mean that the reaction or process will always proceed to the left (as written) even if very slowly. Increasing the temperature may speed up the reaction and it generally affects the spontaneity of the reaction. D. By spontaneous we mean that the reaction or process will always proceed to the right (as written) even if very slowly. Increasing the temperature may speed up the reaction, and it generally affects the E. spontaneity of the reaction. E. None of the above is true. 6.CH4(g) + 4Cl2(g) → CCl4(g) + 4HCl(g), ΔH = -434 kJ Based on the above reaction, what energy change occurs when 1.2 moles of methane (CH4) reacts? a. b. c. d. e. 5.2 × 105 J are released. 5.2 × 105 J are absorbed. 3.6 × 105 J are released. 3.6 × 105 J are absorbed. 4.4 × 105 J are released. Soln: 7.The heat combustion of acetylene, C2H2(g), at 25°C is -1299 kJ/mol. At this temperature, ΔHf° values for CO2(g) and H2O(l) are -393 and -286 kJ/mol, respectively. Calculate ΔHf° for acetylene. A. B. C. D. E. 2376 kJ/mol 625 kJ/mol 227 kJ/mol -625 kJ/mol -227 kJ/mol Soln: 8.Consider the reaction: C2H5OH(l) + 3O2(g) → 2CO2(g) + 3H2O(l); ΔH = -1.37 × 103 kJ Consider the following propositions: I. The reaction is endothermic II. The reaction is exothermic. III. The enthalpy term would be different if the water formed was gaseous. Which of these propositions is (are) true? a. b. c. d. e. I II III I, II II, III 9.Which of the following does not have a standard enthalpy of formation equal to zero at 25°C and 1.0 atm? A. B. C. D. E. F2(g) Al(s) H2O(l) H2(g) They all have a standard enthalpy equal to zero. 10.Consider the following balanced redox reaction Mn2+(aq) + S2O82–(aq) + 2H2O(l) → MnO2(s) + 4H+(aq) + 2SO42–(aq) Which of the following statements is true? A. Mn2+(aq) is the reducing agent and is reduced. B. Mn2+(aq) is the oxidizing agent and is oxidized. C. Mn2+(aq) is the oxidizing agent and is reduced. D. Mn2+(aq) is the reducing agent and is oxidized. E. Manganese does not change its oxidation number in this reaction. 11.Which of the statements below correctly describes the combustion of glucose, shown below? C6H12O6 + 6O2 → 6CO2 + 6H2O A. B. C. D. E. Oxygen in O2 is being oxidized. Carbon in C6H12O6 is being oxidized. Hydrogen in C6H12O6 is the reducing agent. Oxygen in C6H12O6 is the oxidizing agent. Hydrogen in C6H12O6 is being reduced. Soln: C charge in glucose is 0 while C in CO2 is +4 C(x)+H(+1)+O(-2) = 0 6x+12(1)+6(-2) = 0 X=0 C(x)+O(-2) = 0 x+2(-2) = 0 X = +4 12.Which one of the following is not a redox reaction? A. Cl2(g) + 2KBr(aq) → Br2(l) + 2KCl(aq) B. 2H2(g) + O2(g) → 2H2O(l) C. 6FeSO4(aq) + K2Cr2O7(aq) + 7H2SO4(aq) → Cr2(SO4)3(aq) + 3Fe2(SO4)3(aq) + K2SO4(aq) + 7H2O(l) D. H2O(l) + NH3(g) → NH4+(aq) + OH–(aq) E. Zn(s) + H2SO4(aq) → ZnSO4(aq) + H2(g) Soln: There are ion exchange or change in charge. 13.Which of the following solids is commonly used as an inactive electrode in electrochemical cells A. B. C. D. E. sodium copper iron zinc graphite 14.The line notation, Pt | H2(g) | H+(aq) || Cu2+(aq) | Cu(s), indicates that A. B. C. D. E. Cu2+ is the reducing agent. hydrogen gas (H2) is a product of the cell reaction. Cu is the anode. Pt is the cathode. Copper metal is a product of the cell reaction. 15.What is the E°cell for the cell represented by the combination of the following half-reactions? 2Hg2+(aq) + 2e– Hg22+(aq) E° = 0.92 V Cr3+(aq) + 3e– Cr(s) E° = –0.74 V A. 1.28 V B. –0.18 V C. 2.12 V D. 0.18 V E. 1.66 V Soln: E° = 0.92V - (-0.74 V) = 1.66 V 16.Which of the following statements about voltaic and electrolytic cells is correct? A. B. C. D. The free energy change, ΔG, is negative for an electrolytic cell. The electrons in the external wire flow from cathode to anode in both types of cell. Reduction occurs at the anode in an electrolytic cell. The cathode is labeled as positive (+) in a voltaic cell but negative (–) in an electrolytic cell. E. Oxidation occurs at the cathode only in a voltaic cell. 17.Examine the following half-reactions and select the strongest reducing agent among the species listed. PbI2(s) + 2e– Pb(s) + 2I–(aq) E° = –0.365 V Ca2+(aq) + 2e– Ca(s) E° = –2.868 V Pt2+(aq) + 2e– Pt(s) E° = 1.18 V Br2(l) + 2e– 2Br–(aq) E° = 1.066 V A. B. C. D. E. Pt(s) Br–(aq) Pt2+(aq) Pb(s) Ca(s) Soln: The negative the value of E° cell the stronger its reducing power. 18.Which of the following conditions is most likely to apply to a fully-charged secondary cell? A. B. C. D. E. E°cell = 0 Ecell = E°cell Q<K Q=K Q=1 19.What product forms at the cathode during the electrolysis of molten lithium iodide? A. B. C. D. E. Li+(l) I–(l) I3–(l) Li(l) I2(g) Soln: Cathode in electrolysis is negatively charged thus it attracts positive ions making Li(l) the product in the cathode. 20.What mass of silver will be formed when 15.0 A are passed through molten AgCl for 25.0 minutes? (Ag = 107.87 g/mol; Faraday’s constant = 96485 C/mol e) A. B. C. D. E. 33.4 g 6.29 g 12.6 g 25.2 g 0.419 g Soln: Chemical Engineering Principles: 1. ________ receives the output signal to change the valve settings. A. Controller B. Actuator C. Regulator D. Sensor 2. The operating point in a pumping system is identified by A. Point of intersection of pump curve and theoretical power curve B. Cannot be determined by the pump characteristic curves C. Point of intersection of system curve and efficiency curve D. Point of intersection of pump curve and system curve 3. Joule Thomson expansion is the ____. A. Upstream enthalpy equals to downstream enthalpy B. Difference between upstream and downstream enthalpy C. Overall enthalpy is the sum of upstream and downstream enthalpy D. Net Enthalpy For questions 4, 5 and 6 refer to the problem below: A three-stage adiabatic compressor is required to compress air from 140 kN/m2 and 283 K to 4000 kN/m2. It may be assumed that the interstage cooling is provided to cool the air to the initial temperature. 4. Calculate the ideal intermediate pressures in kN/m2 (P1’ and P2’). A. P1’= 1409.58 and P2’= 430.06 B. P1’= 1504.02 and P2’= 468.47 C. P1’= 1280.83 and P2’= 451.89 D. P1’= 1308.47 and P2’= 428.02 5. Calculate the work required per kilogram of gas (J/kg). A. 740,220 J/kg B. 319,170 J/kg C. 320,136 J/kg D. 321,156 J/kg 6. Calculate the isothermal efficiency of the process. A. 85.14% B. 84.88% C. 86.59% D. 83.76% 7. A cooling coil, consisting of a single length of tubing through which water is circulated, is provided in a reaction vessel, the contents of which are kept uniformly at 360 K by means of a stirrer. The inlet and outlet temperatures of the cooling water are 280 K and 320 K respectively. If the overall heat transfer coefficient is assumed to be constant over the length of the tube and independent of the water temperature, what would be the outlet water temperature if the length of the cooling coil were increased by 6 times? A. 357.50 K B. 356.70 K C. 358.75 K D. 353.80 K 8. Air flows at 15 m/s through a pipe of inside diameter 35 mm. The rate of heat transfer by convection between the pipe and the air is 60 W/m2 K. Neglecting the effects of temperature variation, estimate the pressure drop per meter length of pipe (kPa per meter). A. 0.1152 kPa per meter B. 0.1069 kPa per meter C. 0.1029 kPa per meter D. 0.1089 kPa per meter For items 9 and 10, refer to item below: A simple rectifying column consists of a tube arranged vertically and supplied at the bottom with a mixture of benzene and toluene as vapor. At the top, a condenser returns some of the product as a reflux which flows in a thin film down the inner wall of the tube. The tube is insulated and heat losses can be neglected. At one point in the column, the vapor contains 70 mol% benzene and the adjacent liquid reflux contains 59 mol% benzene. The temperature at this point is 365 K. The molar latent heats of the two materials can be taken as equal. The vapor pressure of toluene at 365 K is 54.0 kN/m2 and the diffusivity of the vapors is 0.051 cm2/s. 9. Calculate the partial pressure of toluene in the liquid phase (PT1) and vapor phase (PT2). A. PT1= 22.14 kN/m2;PT2= 30.39 kN/m2 B. PT1= 22.30 kN/m2;PT2= 30.22 kN/m2 C. PT1= 22.78 kN/m2;PT2= 30.74 kN/m2 D. PT1= 22.69 kN/m2;PT2= 30.83 kN/m2 10. Assuming the diffusional resistance to vapor transfer to be equivalent to the diffusional resistance of a stagnant vapor layer 0.2 mm thick, calculate the rate of interchange of benzene and toluene between vapor and liquid (kmol/m2⋅s). A. NB = 6.797x10-5 kmol/m2⋅s; NT = -6.797x10-5 kmol/m2⋅s B. NB = 6.689x10-5 kmol/m2⋅s; NT = -6.689x10-5 kmol/m2⋅s C. NB = 6.933x10-5 kmol/m2⋅s; NT = -6.933x10-5 kmol/m2⋅s D. NB = 6.837x10-5 kmol/m2⋅s; NT = -6.837x10-5 kmol/m2⋅s 11. Maximum work that could be secured by expanding the gas over a given pressure range is the __________ work. A. B. C. D. Isentropic Adiabatic Exothermal Isothermal 12. Heating of water under atmospheric pressure is an __________ process. A. B. C. D. Adiabatic Isothermal Isochoric Isobaric 13. Which of the following properties of a fluid is responsible for offering resistance to shear ? A. B. C. D. Specific Gravity Surface Tension Sheer strength Viscosity 14. Fundamental principle of refrigeration is based on the __________ law of thermodynamics. A. B. C. D. Second Zeroth First Third 15. A refrigerator may be termed as a A. B. C. D. Heat compressor Carnot Engine Heat pump All of the above 16. If pH value of a solution is 8, then its pOH value will be A. B. C. D. 7 9 0 6. 17. A sample of well water contains 140 gm/m3 Ca2+ ions and 345 gm/m3 Na+ ions. The hardness of the sample of water, expressed in terms of equivalent CaCO3 in gm/m3 is (assuming atomic masses of Ca :40, Na : 23, C : 12, O : 16) A. B. C. D. 300 240 350 340 Soln. Atomic mass of ca 40. MW of caco3 is 100. Therefore 40 g of ca = 100 g of caco3. Then 140 g of ca = ? g of caco3. Simplifying 100(140) / 40. W of caco3 = 350. 18. In a solution containing 0.30 Kg mole of solute and 600 kg of solvent, the molality is A. B. C. D. 0.3 1 0.4 0.5 Soln. Molality = Number of gram moles of solute per kilogram of solvent. Molality= 0.3 x 1000 / 600 = 0.5. 1 kg = 1000 g 19. Fourier's law applies to the heat transfer by A. B. C. D. Conduction Convection Induction Radiation 20. The heat flux (from outside to inside) across an insulating wall with thermal conductivity, K= 0.04 W/m.°K and thickness 0.16m is 10 W/m2. The temperature of the inside wall is - 5°C. The outside wall temperature is A. B. C. D. 35°C 25°C 32°C 28°C Soln. Q = KA(T2-T1)/dx. Q = 10, K = .04, T1 = -5, dx = .16, A = 1. 10 = .04*(T2+5)/.16. T2 + 5 = 40, T2 = 40-5, T2 = 35.