Question 11. The Bode stability criterion is applicable when

Question 12. A thermometer initially at 100°C is dipped at t = 0 into an oil bath, maintained at 150°C. If the recorded temperature is 130°C after 1 minute, then the time constant of thermometer (in min) is

Question 13. A batch reactor produces 1 * 105 kg of a product per year. The total batch time (in hours) of the reactor is k√PB, where PB is the product per batch in kg and k = 1.0 h/√kg The operating cost of the reactor is Rs. 200/h. The total annual fixed charges are Rs. 340 * PB and the annual raw material cost is Rs. 2 * 106 The optimum size (in kg) of each batch (adjusted to the nearest integer) is

Question 14. Heat integration is planned in a process plant at an investment Rs. 2 * 106. This would result in a net energy savings of 20 GJ per year. If the nominal rate of interest is 15% and the plant life is 3 years, then the breakeven cost of energy, in Rs. per GJ (adjusted to the nearest hundred), is

Question 15. Match the polymer in Group I to the polymer characteristic in Group IIGroup I                                                               Group IIP. Polyethylene                                               I. Elastomer Q. Phenol-formaldehyde polymer              II. Fiber    R. Polyisoprene                                               III. ThermoplasticS. Polyester                                                      IV. Thermosetting polymer

Question 16. In a 1-1 pass floating head type shell and tube heat exchanger, the tubes (od = 25 mm; id = 21 mm) are arranged in a square pitch. The tube pitch is 32 mm. The thermal conductivity of the shell side fluid is 0.19 W/m.K, and the Nusselt number is 200. The shell-side heat transfer coefficient (in W/m2. K), rounded off to the nearest integer, is

Question 17. Match the process in Group I with the catalyst in Group II                   Group I                                                    Group IIP. Fischer-Tropsch synthesis                                 I. Nickel         Q. Formaldehyde from methanol                         II. Fe2O3   R. Hydrogenation of vegetable oils                       III. SilverS. Dehydrogenation of ethylbenzene                    IV. Cobalt 

Question 18. The number of emails received on six consecutive days is 11, 9, 18, 18, 4 and 15, respectively. What are the median and the mode for these data?

Question 19. A gaseous system contains H2, I2, and HI, which participate in the gas-phase reaction2 HI H2 + I2
At a state of reaction equilibrium, the number of thermodynamic degrees of freedom is _________

Question 20. For two rolls of a fair die, the probability of getting a 4 in the first roll and a number less than 4 in the second roll, up to 3 digits after the decimal point, is _________