GATE 2024 CH – Previous Year Questions with Solutions
All 65 questions of GATE 2024 CH with answers and explanations. Read each question, then practise it by topic or as a full paper.
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- Question 1 – If '→' denotes increasing order of intensity, then the meaning of the words [simmer → seethe → smolder] is analogous to [break → raze → ]. Which one…
- Question 2 – In a locality, the houses are numbered in the following way: The house-numbers on one side of a road are consecutive odd integers starting from 301,…
- Question 3 – For positive integers p and q, with pq 1, (pq)p/q = p(p/q - 1). Then,
- Question 4 – Which one of the given options is a possible value of x in the following sequence? 3, 7, 15, x, 63, 127, 255
- Question 5 – On a given day, how many times will the second-hand and the minute-hand of a clock cross each other during the clock time 12:05:00 hours to 12:55:00…
- Question 6 – In the given text, the blanks are numbered (i)−(iv). Select the best match for all the blanks. From the ancient Athenian arena to the modern Olympic…
- Question 7 – Three distinct sets of indistinguishable twins are to be seated at a circular table that has 8 identical chairs. Unique seating arrangements are…
- Question 8 – The chart given below compares the Installed Capacity (MW) of four power generation technologies, T1, T2, T3, and T4, and their Electricity Generation…
- Question 9 – In the 4 × 4 array shown below, each cell of the first three columns has either a cross (X) or a number, as per the given rule. 1 1 2 --- --- --- ---…
- Question 10 – During a half-moon phase, the Earth-Moon-Sun form a right triangle. If the Moon-Earth-Sun angle at this half-moon phase is measured to be 89.85°, the…
- Question 11 – The first non-zero term in the Taylor series expansion of (1 - x) - e-x about x = 0 is
- Question 12 – Consider the normal probability distribution function f(x) = 42e-8(x+3)2 If and are the mean and standard deviation of f(x) respectively, then the…
- Question 13 – If z 1 = -1 + i and z 2 = 2i, where i = -1, then Arg(z 1/z 2) is
- Question 14 – A homogeneous azeotropic distillation process separates an azeotropic AB binary feed using a heavy entrainer, E, as shown in the figure. The loss of E…
- Question 15 – An infinitely long cylindrical water filament of radius R is surrounded by air. Assume water and air to be static. The pressure outside the filament…
- Question 16 – The velocity field in an incompressible flow is v = xyi + v yj + k, where i, j and k are unit-vectors in the (x, y, z) Cartesian coordinate system.…
- Question 17 – Consider the steady, uni-directional diffusion of a binary mixture of A and B across a vertical slab of dimensions 0.2 m × 0.1 m × 0.02 m as shown in…
- Question 18 – Consider a vapour-liquid mixture of components A and B that obeys Raoult's law. The vapour pressure of A is half that of B. The vapour phase…
- Question 19 – The ratio of the activation energy of a chemical reaction to the universal gas constant is 1000 K. The temperature-dependence of the reaction rate…
- Question 20 – The rate of a reaction A B is 0.2 mol m-3 s-1 at a particular concentration C A1. The rate constant of the reaction at a given temperature is 0.1 m3…
- Question 21 – Two parallel first-order liquid phase reactions A k 1 B and A k 2 C are carried out in a well-mixed isothermal batch reactor. The initial…
- Question 22 – Consider the block diagram in the figure with control input u, disturbance d and output y. For the feedforward controller, the ordered pair (K, /) is
- Question 23 – Consider the control structure for the overhead section of a distillation column shown in the figure. The composition controller (CC) controls the…
- Question 24 – Which one of the given statements is correct with reference to gas-liquid contactors for mass transfer applications?
- Question 25 – In an ammonia manufacturing facility, the necessary hydrogen is generated from methane. The facility consists of the following process units - P:…
- Question 26 – Consider a linear homogeneous system of equations Ax = 0, where A is an n n matrix, x is an n 1 vector and 0 is an n 1 null vector. Let r be the rank…
- Question 27 – If the Prandtl number Pr = 0.01, which of the following statements is/are correct?
- Question 28 – For the electrolytic cell in a chlor-alkali plant, which of the following statements is/are correct?
- Question 29 – Which of the following statements with reference to the petroleum/petrochemical industry is/are correct?
- Question 30 – Consider a matrix A = bmatrix -5 & a \\ -2 & -2 bmatrix, where a is a constant. If the eigenvalues of A are −1 and −6, then the value of a, rounded…
- Question 31 – Consider the reaction N 2(g) + 3H 2(g) 2NH 3(g) in a continuous flow reactor under steady-state conditions. The component flow rates at the reactor…
- Question 32 – Consider a binary mixture of components A and B at temperature T and pressure P. Let V A and V B be the partial molar volumes of A and B,…
- Question 33 – Consider the steady, uni-directional, fully-developed, pressure-driven laminar flow of an incompressible Newtonian fluid through a circular pipe of…
- Question 34 – The opposite faces of a metal slab of thickness 5 cm and thermal conductivity 400 W m-1 °C-1 are maintained at 500 °C and 200 °C. The area of each…
- Question 35 – The capital cost of a distillation column is Rs. 90 lakhs. The cost is to be fully depreciated (salvage value is zero) using the double-declining…
- Question 36 – Consider a steady, fully-developed, uni-directional laminar flow of an incompressible Newtonian fluid (viscosity ) between two infinitely long…
- Question 37 – The temperatures of two large parallel plates of equal emissivity are 900 K and 300 K. A reflection radiation shield of low emissivity and negligible…
- Question 38 – Hot oil at 110 °C heats water from 30 °C to 70 °C in a counter-current double-pipe heat exchanger. The flow rates of water and oil are 50 kg min-1 and…
- Question 39 – A solid slab of thickness H 1 is initially at a uniform temperature T 0. At time t = 0, the temperature of the top surface at y = H 1 is increased to…
- Question 40 – A gas stream containing 95 mol% CO 2 and 5 mol% ethanol is to be scrubbed with pure water in a counter-current, isothermal absorption column to remove…
- Question 41 – Sulfur dioxide (SO 2) gas diffuses through a stagnant air-film of thickness 2 mm at 1 bar and 30 °C. The diffusion coefficient of SO 2 in air is 1…
- Question 42 – A simple distillation column separates a binary mixture of A and B. The relative volatility of A with respect to B is 2. The steady-state composition…
- Question 43 – Alumina particles with an initial moisture content of 5 kg per kg dry solid are dried in a batch dryer. For the first two hours, the measured drying…
- Question 44 – A first-order heterogenous reaction A B is carried out using a porous spherical catalyst. Assume isothermal conditions, and that intraphase diffusion…
- Question 45 – A first-order liquid phase reaction A B is carried out in two isothermal plug flow reactors (PFRs) of volume 1 m3 each, connected in series. The feed…
- Question 46 – The residence time distribution, E, for a non-ideal flow reactor is given in the figure. A first-order liquid phase reaction with a rate constant 0.2…
- Question 47 – Let r and be the polar coordinates defined by x = r and y = r. The area of the cardioid r = a(1 - ), 0 2, is
- Question 48 – For the block diagram shown in the figure, the correct expression for the transfer function G d = y 1(s)d(s) is
- Question 49 – For purchasing a batch reactor, three alternatives P, Q and R have emerged, as summarized in the table. For a compound interest rate of 10% per annum,…
- Question 50 – The Newton-Raphson method is used to solve f(x) = 0, where f(x) = ex - 5x. If the initial guess x(0) = 1.0, the value of the next iterate, x(1),…
- Question 51 – Consider the line integral CF(r) dr, with F(r) = xi + yj + zk, where i, j and k are unit vectors in the (x, y, z) Cartesian coordinate system. The…
- Question 52 – Consider the ordinary differential equation x2d2ydx2 - xdydx - 3y = 0, with the boundary conditions y(x = 1) = 2 and y(x = 2) = 17/2. The solution…
- Question 53 – Consider the function f(x, y, z) = x4 + 2y3 + z2. The directional derivative of the function at the point P(-1, 1, -1) along (i + j), where i and j…
- Question 54 – Consider the process in the figure for manufacturing B. The feed to the process is 90 mol% A and a close-boiling inert component I. At a particular…
- Question 55 – Methane combusts with air in a furnace as CH 4 + 2O 2 CO 2 + 2H 2O. The heat of reaction H rxn = -880 kJ per mol CH 4 and is assumed to be constant.…
- Question 56 – An isolated system consists of two perfectly sealed cuboidal compartments A and B separated by a movable rigid wall of cross-sectional area 0.1 m2 as…
- Question 57 – Ethylene obeys the truncated virial equation-of-state PVRT = 1 + BPRT where P is the pressure, V is the molar volume, T is the absolute temperature…
- Question 58 – A metallic spherical particle of density 7001 kg m-3 and diameter 1 mm is settling steadily due to gravity in a stagnant gas of density 1 kg m-3 and…
- Question 59 – Water of density 1000 kg m-3 is pumped at a volumetric flow rate of 3.14 10-2 m3 s-1, through a pipe of inner diameter 10 cm and length 100 m, from a…
- Question 60 – A Venturi meter with a throat diameter d = 2 cm measures the flow rate in a pipe of diameter D = 6 cm, as shown in the figure. A U-tube manometer is…
- Question 61 – Heat is available at a rate of 2 kW from a thermal reservoir at 400 K. A two-stage process harnesses this heat to produce power. Stages 1 and 2 reject…
- Question 62 – A chemostat with cell recycle is shown in the figure. The feed flow rate and culture volume are F = 75 L h-1 and V = 200 L, respectively. The glucose…
- Question 63 – Consider the surge drum in the figure. Initially the system is at steady-state with a hold-up V = 5 m3, which is 50% of full tank capacity, V full,…
- Question 64 – A PD controller with transfer function G c is used to stabilize an open-loop unstable process with transfer function G p, where G c = K c Ds + 1(…
- Question 65 – Consider a tray-column of diameter 120 cm. Each downcomer has a cross-sectional area of 575 cm2. For a tray, the percentage column cross-sectional…