Gate Chemical Engineering Question Papers – Year 2009 – Part 02
Posted by admin on October 31, 2009 under GATE Exam | 
Be the First to Comment
- 21 to Q. 60 carry two marks each.
- The value of the limit –is
(A) –? (B) 0 (C) 1 (D) ?
- The general solution of the differential equation –
= 0,
with C1 and C2 as constants of integration, is
- C1 e-3x + C2 e-2x (B) C1 e3x + C2 e-2x
- C1 e3x + C2 e2x (D) C1 e-3x + C2 e2x
- Using the residue theorem, the value of the integral (counter clockwise)
around a circle with center at z = 0 and radius = 8 (where z is a complex number and i = ), is
- – 20? i (B) – 40? (C) – 40? i (D) 40? i
- Consider the integral,
over the surface of a sphere of radius = 3 with center at the origin and surface unit normal n pointing away from the origin. Using the Gauss divergence theorem, the value of this integral is
(A) – 180? (B) 0 (C) 90? (D) 180?
- Using the trapezoidal rule and 4 equal intervals (n = 4), the calculated value of the integral (rounded to the first place of decimal)
1 is
(A) 1.7 (B) 1.9 (C) 2.0 (D) 2.1
- The eigenvalues of matrix are 5 and –1. Then the eigenvalues of –2A + 3I (I is a 2 x 2 identity matrix) are
- –7 and 5 (B) 7 and –5 (C) and (D) and
- A fair die is rolled. Let R denote the event of obtaining a number less than or equal to 5 and S denote the event of obtaining an odd number. Then which ONE of the following about the probability (P) is TRUE ?
- P(R/S) = 1 (B) P(R/S) = 0 (C) P(S/R) = 1 (D) P(S/R) = 0
- Pure water (stream W) is to be obtained from a feed containing 5 wt % salt using a desalination unit as shown below:
Recycle (R)
Feed (F) Mixed feed Effluent
5 wt % salt 10 wt % salt Desalination
unit
- Pure water (W)
- 0 % salt
If the overall recovery of pure water (through stream W) is 0.75 kg/kg feed, then the recycle ratio (R/F is
(A) 0.25 (B) 0.5 (C) 0.75 (D) 1.0
- For a binary mixture at constant temperature and pressure, which ONE of the following relations between activity coefficient (?i) and mole fraction (xi) is thermodynamically consistent ?
- ln ?1 = –1 + 2 x1 , ln ?2 =
- ln ?1 = –1 + 2 x1 , ln ?2 =
- ln ?1 = –1 + 2 x1 , ln ?2 =
- ln ?1 = –1 + 2 x1 , ln ?2 =
- Two identical reservoirs, open at the top, are drained through pipes attached to the bottom of the tanks as shown below. The two drain pipes are of the same length, but of different diameters (D1 > D2).
Assuming the flow to be steady and laminar in both drain pipes, if the volumetric flow rate in the larger pipe is 16 times of that in the smaller pipe, the ratio D1/D2 is
(A) 2 (B) 4 (C) 8 (D) 16
- For an incompressible flow, the x- and y- components of the velocity vector are
?x = 2 (x + y); ?y = 3 (y + z);
where x, y, z are in metres and velocities are in m/s. Then the z-component of the velocity vector (vz) of the flow for the boundary condition vz = 0 at z = 0 is
- 5 z (B) –5 z (C) 2x + 3z (D) –2x–3z
- The terminal settling velocity of a 6 mm diameter glass sphere (density: 2500 kg/m3) in a viscous Newtonian liquid (density: 1500 kg/m3) is 100 ?m/s. If the particle Reynolds number is small and the value of acceleration due to gravity is 9.81 m/s2, then the viscosity of the liquid (in Pa.s) is
(A) 100 (B) 196.2 (C) 245.3 (D) 490.5
- A well-insulted hemispherical furnace (radius = 1 m) is shown below:
The self-view factor of radiation for the curved surface 2 is
- 1/4 (B) 1/2 (C) 2/3 (D) 3/4
- A double-pipe heat exchanger is to be designed to heat 4 kg/s of a cold feed from 20 to 40°C using a hot stream available at 160°C and a flow rate of 1 kg/s. The two streams have equal specific heat capacities and the overall heat transfer coefficient of the heat exchanger is 640 W/m2.K. Then the ratio of the heat transfer areas require for the co-current to counter-current modes of operations is
(A) 0.73 (B) 0.92 (C) 1.085 (D) 1.25
- For the composite wall shown below (case 1), the steady state interface temperature is 180°C. If the thickness of layer P is doubled (Case 2), then the rate of heat transfer (assuming 1-D conduction) is reduction by
(A) 20% (B) 40% (C) 50% (D) 70%
- Species A is diffusing at steady state from the surface of a sphere (radius = 1 cm) into a stagnant fluid. If the diffusive flux at a distance r = 3 cm from the center of the sphere is 27 mol/cm2.s, the diffusive flux (in mol/cm2.s) at a distance r = 9 cm is
(A) 1 (B) 3 (C) 9 (D) 27
- The feed to a binary distillation column has 40 mol % vapor and 60 mol % liquid. Then, the slope of the q-line in the McCabe-Thiele plot is
(A) –1.5 (B) –0.6 (C) 0.6 (D) 1.5
- The equilibrium moisture curve for a solid is shown below :
The total moisture content of the solid is X and it is exposed to air of relative humidity H. In the table below, Group Ilists the types of moisture, and Group II represents the region in the graph above
Group I Group II
- Equilibrium moisture 1
- Bound moisture 2
- Unbound moisture 3
- Free moisture 4
Which ONE of the following is the correct match ?
(A) P-1, Q-2, R-3, S-4 (B) P-1, Q-3, R-4, S-2
(C) P-1, Q-4, R-2, S-3 (D) P-1, Q-2, R-4, S-3
- The liquid-phase reaction A à B is conducted in an adiabatic plug flow reactor.
Data :
Inlet concentration of A = 4.0 k.mol/m3
Density of reaction moisture (independent of temperature = 1200 kg/m3
Average heat capacity of feed stream (independent of temperature) = 2000 J/kg.k
Heat of reaction (independent of temperature) = –120 kJ/mol of A reacting
If the maximum allowable temperature in the reactor is 800 K, then the feed temperature (in K) should not exceed.
(A) 400 (B) 500 (C) 600 (D) 700
- An isothermal pulse test is conducted on a reactor and the variation of the outlet tracer concentration with time is shown below :
The mean residence time of the fluid in the reactor (in minutes) is
Add A Comment