A n automobile plant contracted to buy shock absorbers from two suppliers X and Y. X supplies 60% and Y supplies 40% of the shock absorbers. All shock absorbers are subjected to a quality test. The ones that pass the quality test are considered reliable. Of X's shock absorbers, 96% are reliable. Of Y's shock absorbers, 72% are reliable. The probability that a randomly chosen shock absorber, which is found to be reliable, is made by Y is
1.0.288
2.0.334
3. 0.667
4.0.720
An insulated, evacuated container is connected to a supply line of an ideal gas at pressure Ps, temperature Ts and specific volume Vs. The container is filled with the gas until the pressure in the container reaches Ps. There is no heat transfer between the supply line to the container, and kinetic and potential energies are negligible. If CP and CV are the heat capacities at constant pressure and constant volume, respectively (۪̉ = CP/CV), then the final temperature of the gas in the container is
1.۪̉Ts
2.Ts
3. (۪̉ - 1)Ts
4.(۪̉ - 1)Ts/۪̉
In a mixing tank operating at very high Reynolds number (> 104), if the diameter of the impeller is doubled (other conditions remaining constant), the power required increases by a factor of
1.1/32
2.1/4
3.4
4.32
In a parallel flow heat exchanger operating under steady state, hot liquid enters at a temperature Th, in and leaves at a temperature Th, out. Cold liquid enters at a temperature Tc, in and leaves at a temperature Tc, out. Neglect any heat loss from the heat exchanger to the surrounding. If Th, in >> Tc, in, then for a given time interval, which ONE of the following statements is true?
1.Entropy gained by the cold stream is GREATER than entropy lost by the hot stream
2. Entropy gained by the cold stream is EQUAL to the entropy lost by the hot stream
3.Entropy gained by the cold stream is LESS than the entropy lost by the hot stream
4.Entropy gained by the cold stream is ZERO
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
1.2
2.21/r
3.2(r - 1)/r
4.0.5
In petroleum refining, catalytic reforming is used to convert
1.Paraffins and naphthenes to aromatics
2.Paraffins to hydrogen and carbon monoxide
3.Gas oil to diesel and gasoline
4.Light olefins to gasoline
In the McCabe-Thiele diagram, if the x -coordinate of the point of intersection of the q -line and the vapor-liquid equilibrium curve is greater than the x -coordinate of the feed point, then the quality of the feed is
1.super-heated vapor
2.liquid below bubble point
3.saturated vapor
4.saturated liquid
Match the process in Group I with the catalyst in Group II
Group I Group II
P. Fischer-Tropsch synthesis I. Nickel
Q. Formaldehyde from methanol II. Fe2O3
R. Hydrogenation of vegetable oils III. Silver
S. Dehydrogenation of ethylbenzene IV. Cobalt
1.P-III, Q-IV, R-I, S-II
2.P-IV, Q-II, R-I, S-III
3.P-IV, Q-III, R-I, S-II
4.P-III, Q-IV, R-II, S-I
T he cost function for a product in a firm is given by 5 q2, where q is the amount of production. The firm can sell the product at a market price of RS. 50 per unit. The number of units to be produced by the firm such that the profit is maximized is
1.5
2.10
3.15
4.25
The main unit processes used for the production of hydrogen from natural gas are steam reforming (SR), pressure swing adsorption (PSA), low temperature water gas shift reaction (LT WGS) and high temperature water gas shift reaction (HT WGS). The correct sequence of these in the plant is
1.SR; LT WGS; HT WGS; PSA
2.PSA; SR; LT WGS; HT WGS
3.SR; HT WGS; LT WGS; PSA
4.PSA; HT WGS; LT WGS; SR
The Newton “ Raphson method is used to find the roots of the equation f(x) = x - cos Àx 0 ≤ x ≤ 1. If the initial guess for the root is 0.5, then the value of x after the first iteration is
1.1.02
2. 0.62
3.0.55
4.0.38
Which of the following assertions are CORRECT? P: Adding 7 to each entry in a list adds 7 to the mean of the list Q: Adding 7 to each entry in a list adds 7 to the standard deviation of the list R: Doubling each entry in a list doubles the mean of the list S: Doubling each entry in a list leaves the standard deviation of the list unchanged
1.P, Q
2.Q, R
3. P, R
4.R, S
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
1.748
2.873
3.953
4.1148
A bed of spherical glass beads (density 3000 kg/m3 diameter 1 mm, bed porosity 0.5) is to be fluidized by a liquid of density 1000 kg/m3 and viscosity 0.1 Pa.s. Assume that the Reynolds number based on particle diameter is very small compared to one. If g = 10 m/s2 then the minimum velocity (in m/s) required to fluidize the bed is
1.3.33 * 10-4
2.3.33 * 10-1
3.3
4.30
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
1.1026
2.1062
3.1260
4. 1620
A counter-current extraction column is designed to remove 99% of solute C from a solution of solvent A and solute C using pure solvent B. The initial concentration of solute in the solution of A + C is 20 wt %, and the total flow of solution is 1000 kg/h. If the equilibrium relationship is Y = 2X , where Y = mass of C/mass of A and X = mass of C/mass of B. I f the flow rate of B is 2400 kg/h, then the theoretical number of stages in the column, using Kremser's equation (adjusted to the next integer) is
1.5
2.9
3.11
4.13
A counter-current extraction column is designed to remove 99% of solute C from a solution of solvent A and solute C using pure solvent B. The initial concentration of solute in the solution of A + C is 20 wt %, and the total flow of solution is 1000 kg/h. If the equilibrium relationship is Y = 2X , where Y = mass of C/mass of A and X = mass of C/mass of B. T he minimum flow rate of solvent B required (in kg/h) is
1.1454
2.1584
3.1676
4.1874
A political party orders an arch for the entrance to the ground in which the annual convention is being held. The profile of the arch follows the equation y = 2x - 0.1x2 where y is the height of the arch in meters. The maximum possible height of the arch is
1.8 meters
2.10 meters
3.12 meters
4.14 meters
A solid sphere with an initial temperature Ti is immersed in a large thermal reservoir of temperature T0. The sphere reaches a steady temperature after a certain time t1. If the radius of the sphere is doubled, the time required to reach steady-state will be
1.t1/4
2. t1/2
3.2t1
4.4t1
A thermocouple having a linear relationship between 0oC and 350oC shows an emf of zero and 30.5 mV, respectively at these two temperatures. If the cold junction temperature is shifted from 0oC to 30oC, then the emf correction (in mV) is
1.3.13
2.2.92
3.2.61
4.2.02
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
1.1.98
2.1.35
3.1.26
4.1.09
An equimolar mixture of A and B (A being more volatile) is flash distilled continuously at a feed rate of 100 kmol/h, such that the liquid product contains 40 mol % of A. If the relative volatility is 6, then the vapor product, in kmol/h, is
1.10
2.20
3.25
4.45
Choose the grammatically INCORRECT sentence:
1.They gave us the money back less the service charges of Three Hundred rupees
2.This country's expenditure is not less than that of Bangladesh.
3.The committee initially asked for a funding of Fifty Lakh rupees, but later settled for a lesser sum
4.This country's expenditure on educational reforms is very less.
Choose the most appropriate alternative from the options given below to complete the following sentence: Despite several “““““““““ the mission succeeded in its attempt to resolve the conflict.
1.attempts
2.setbacks
3.meetings
4.delegations
Consider a binary liquid mixture at constant temperature T and pressure P . If the enthalpy change of mixing, ∆H = 5x1x2, where x1 and x2 are the mole fraction of species 1 and 2 respectively, and the entropy change of mixing ∆S = -R[x1 ln x1 + x2 ln x2] (with R = 8.314 J/mol.K), then the minimum value of the Gibbs free energy change of mixing at 300 K occurs when
1. x1 = 0
2.x1 = 0.2
3.x1 = 0.4
4.x1 = 0.5
Consider the following set of linear algebraic equations x1 + 2x2 + 3x3 = 2 x2 + x3 = - 1 2x2 + 2x3 = 0 The system has
1.a unique solution
2.no solution
3.an infinite number of solutions
4.only the trivial solution
For an exothermic reversible reaction, which one of the following correctly describes the dependence of the equilibrium constant ( K ) with temperature (T ) and pressure ( P ) ?
1.K is independent of T and P
2.K increases with an increase in T and P
3. K increases with T and decreases with P
4.K decreases with an increase in T and is independent of P
For heat transfer across a solid-fluid interface, which one of the following statements is NOT true when the Biot number is very small compared to 1?
1. Conduction resistance in the solid is very small compared to convection resistance in the fluid
2.Temperature profile within the solid is nearly uniform
3.Temperature drop in the fluid is significant
4.Temperature drop in the solid is significant
For the function f(t) = e-t/T, the Taylor series approximation for t << T is
1.1 + t/T
2.1 - t/T
3.1 - t2/2T2
4.1 + t
For which of the following combinations, does the absorption operation become gas-film controlled? P. The solubility of gas in the liquid is very high Q. The solubility of gas in the liquid is very low R. The liquid-side mass transfer coefficient is much higher than the gas-side mass transfer coefficient S. The liquid-side mass transfer coefficient is much lower than the gas-side mass transfer coefficient
1. P & Q
2. P & R
3.P & S
4.Q & R
Given the sequence of terms, AD CG FK JP, the next term is
1.OV
2.OW
3.PV
4. PW
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
1.33500
2.43800
3.54200
4. 65400
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
1.33500
2.43800
3.54200
4. 65400
Heat is generated at a steady rate of 100 W due to resistance heating in a long wire (length = 5 m, diameter = 2 mm). This wire is wrapped with an insulation of thickness 1 mm that has a thermal conductivity of 0.1 W/m.K. The insulated wire is exposed to air at 30°C. The convective heat transfer between the wire and surrounding air is characterized by a heat transfer coefficient of 10 W/m2.K. The temperature (in °C) at the interface between the wire and the insulation is
1.211.2
2.242.1
3.311.2
4.484.2
If a and b are arbitrary constants, then the solution to the ordinary differential equation d2y/dx2 - 4y = 0 is
1.y = ax + b
2.y = ae-x
3.y = asin 2x + bcos2x
4.y = acosh 2x + bsinh 2x
If the temperature of saturated water is increased infinitesimally at constant entropy, the resulting state of water will be
1.Liquid
2.Liquid "“ vapor coexistence
3.Saturated vapor
4.Solid
In a counter-flow double pipe heat exchanger, oil (m = 2 kg/s, CP = 2.1 kJ/kg.°C) is cooled from 90 °C to 40 °C by water (m = 1 kg/s, CP 4.2 kJ/kg.°C) which enters the inner tube at 10 °C. The radius of the inner tube is 3 cm and its length is 5 m. Neglecting the wall resistance, the overall heat transfer coefficient based on the inner radius, in kW / m2. K, is
1.0.743
2.7.43
3.74.3
4.2475
Match the polymer in Group I to the polymer characteristic in Group II Group I Group II P. Polyethylene I. Elastomer Q. Phenol-formaldehyde polymer II. Fiber R. Polyisoprene III. Thermoplastic S. Polyester IV. Thermosetting polymer
1.P-III, Q-IV, R-I, S-II
2.P-IV, Q-II, R-III, S-I
3.P-III, Q-II, R-I, S-IV
4.P-IV, Q-III, R-I, S-II
The Bode stability criterion is applicable when
1.Gain and phase curves decrease continuously with frequency
2.Gain curve increases and phase curve decreases with frequency
3.Gain curve and phase curve both increase with frequency
4.Gain curve decreases and phase curve increases with frequency
The characteristic equation for a system is s3 + 9s2 + 26s + 12(2 + Kc) = 0. Using the Routh test, the value of Kc that will keep the system on the verge of instability is
1.20.9
2.18.4
3.17.5
4.15.3
The final boiling points of gasoline, diesel, atmospheric gas oil (AGO) and lubricating oils vary as
1.gasoline > diesel > AGO > lubricating oils
2.lubricating oils > AGO > diesel > gasoline
3. AGO > lubricating oils > diesel > gasoline
4.lubricating oils > diesel > AGO > gasoline
The first order liquid phase reaction A ---> P is conducted isothermally in a plug flow reactor of 5 liter volume. The inlet volumetric flow rate is 1 liter/min and the inlet concentration of A is 2 mole/liter. If the exit concentration of A is 0.5 mole /liter, then the rate constant, in min-1, is
1.0.06
2.0.28
3.0.42
4.0.64
The first order liquid phase reaction A ---> P is conducted isothermally in a plug flow reactor of 5 liter volume. The inlet volumetric flow rate is 1 liter/min and the inlet concentration of A is 2 mole/liter. The plug flow reactor is replaced by 3 mixed flow reactors in series, each of 2.0 liters volume. The exact conversion of A (in %) is
1.35.9
2.52.5
3.73.7
4. 94.8
The half-life of an nth order reaction in a batch reactor depends on
1.only the rate constant
2.only the rate constant and the order of the reaction
3.only the rate constant and the initial reactant concentration
4.the rate constant, initial reactant concentration, and the order of the reaction
The local velocity of a fluid along a streamline can be measured by
1.Pitot tube
2.Venturi meter
3.Rotameter
4.Orifice meter
Wanted Temporary, Part-time persons for the post of Field Interviewer to conduct personal interviews to collect and collate economic data. Requirements: High School-pass, must be available for Day, Evening and Saturday work. Transportation paid, expenses reimbursed. Which one of the following is the best inference from the above advertisement?
1.Gender-discriminatory
2.Xenophobic
3.Not designed to make the post attractive
4.Not gender-discriminatory
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
1.decreases 2 times
2.decreases 16 times
3.increases 2 times
4.increases 16 times
What is the unit of specific gravity?
1.Dimensionless
2.m/s2
3.N/m3
4.Kg/m3
Which of the following has the same number of moles as in 398 grams of CuSO4?
1.35 grams of nitrogen
2.58.5 grams of Sodium chloride
3. 2 grams of hydrogen
4.40 grams of oxygen
Which one of the following options is the closest in meaning to the word given below? Mitigate
1. Diminish
2.Divulge
3.Dedicate
4.Denote