Gate Chemical Engineering Question Papers – Year 2009 – Part 01
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CHEMICAL ENGINEERING – Gate Chemical Engineering Question Papers – Year 2009
- There are a total of 60 questions carrying 100 marks. Questions 1 through 20 are 1-mark questions; questions 21 through 60 are 2-mark questions.
- Questions 51 through 56 (3 pairs) are common data questions and questions pairs (57, 58) and (59, 60) are linked answer questions. The answer to the second question of the above 2 pairs depends on the answer to the first question of the pair. It the first question in the linked pair is wrongly answered or is un-attempted, then the answer to the second question in the pair will not be evaluated.
- Questions not attempted will carry zero marks.
- Wrong answers will carry NEGATIVE marks. For Q.1 to Q.20, 1/3 mark will be deducted for each wrong answer. For Q.21 to Q.56, 2/3 marks will be deducted for each wrong answer. The questions pairs (Q.57, Q.58) and (Q.59, Q.60) are questions with linked answers. There will be negative marks only for wrong answer to the first question of the linked answer question pair i.e. for Q.57 and Q.59, 2/3 mark will be deduced for each wrong answer. There is no negative marking for Q.58 and Q.60.
Q.1 – Q.20 carry one mark each.
- The direction of largest increase of the function xy3 – x2 at the point (1,1) is
(A) (B) (C) (D)
- The modulus of the complex number is
(A) (B) (C) 1 (D)
- The system of linear equations Ax = 0, where A is an n ´ n matrix, has a non-trivial solution ONLY if
- rank of A > n (B) rank of A = n
- rank of A < n. (D) A is an identity matrix
- A dehumidifier (shown below) is used to completely remove water vapor from air.
Which ONE of the following statements is TRUE ?
- Water is the ONLY tie component
- Air is the ONLY tie component,
- BOTH water and air are the components
- There are NO tie components
- Dehydrogenation of ethane, C2H6 (g) àC2H4 (g) + H2 (g), is carried out in a continuous stirred tank reactor (CSTR). The feed is pure ethane. If the reactor exit stream contains unconverted ethane along with the products, then the number of degrees of freedom for the CSTR is
(A) 1, (B) 2, (C) 3, (D) 4
- An ideal gas at temperature T1 and pressure P1 is compressed isothermally to pressure P2 (> P1) in a closed system. Which ONE of the following is TRUE for internal energy (U) and Gibbs free energy (G) of the gas at the two states ?
- U1 = U2, G1 > G2 (B) U1 = U2, G1 < G2
- U1 > U2, G1 = G2 (D) U1 < U2, G1 = G2
- Under fully turbulent flow conditions, the frictional pressure drop across a packed bed varies with the superficial velocity (V) of the fluid as
- V -1 (B) V (C) V 3/2 (D) V 2
- For a mixing tank operating in the laminar regime, the power number varies with the Reynolds number (Re) as
- Re –1/2 (B) Re 1/2 (C) Re (D) Re -1
- During the transient convective cooling of a solid object, Biot numberà0 indicates.
- Uniform temperature throughout the object
- Negligible convection at the surface of the object
- Significant thermal resistance within the object
- Significant temperature gradient within the object
- The Prandtl number of a fluid is the ratio of
- Thermal diffusivity to momentum diffusivity
- Momentum diffusivity to thermal diffusivity
- Conductive resistance to convective resistance
- Thermal diffusivity to kinematic diffusivity
- According to the penetration theory of mass transfer, the mass transfer coefficient (k) varies with diffusion coefficient (D) of the diffusing species as
- D (B) D -1/2 (C) D 1/2 (D) D 3/2
- The ratio of the liquid to gas flow rate in a counter-current gas absorption column is increased at otherwise identical conditions. Which ONE of the following statements is TRUE ?
- The operating line shifts towards the equilibrium curve
- The operating line shifts away from the equilibrium curve
- The concentration of the absorbed species increases in the exit liquid stream
- The operating line dies not shift.
- For a homogeneous reaction system, where
Cj is the concentration of j at time t
Nj is the number of moles of j at time t
V is the reaction volume at time t
t is the reaction time.
The rate of reaction for species j is defined as
(A) (B) (C) (D)
- The half-life of a first order liquid phase reaction is 30 seconds. Then the rate constant, in min-1, is
(A) 0.0231 (B) 0.602 (C) 1.386 (D) 2.0
- For a solid-catalyzed reaction, the Thiele modulus is proportional to
- Which ONE of the following sensors is used for the measurement of temperature in a combustion process (T > 1800°C) ?
- Type J thermocouple, (B) Thermistor
- Resistance temperature detector, (D) Pyrometer.
- The roots of the characteristic equation of an under damped second order system are
- Real, negative and equal, (B) Real, negative and unequal,
- Real, positive and unequal, (D) Complex conjugates.
- The total fixed cost of a chemical plant is Rs. 10.0 lakhs; the internal rate of return is 15% and the annual operating cost is Rs. 2.0 lakhs. The annualized cost of the plant (in lakhs of Rs.) is
(A) 1.8 (B) 2.6 (C) 3.5 (D) 4.3
- In petroleum refining operations, the process used for converting paraffins and naphthenes to aromatics is
- Catalytic reforming (B) Catalytic cracking
- Hydrocarcking, (D) Alkylation.
- The active component of catalysts used in steam reforming of methane to produce synthesis gas is
- Nickel (B) Iron (C) Platinum (D) Palladium
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