GATE 2022 CH – Previous Year Questions with Solutions
All 65 questions of GATE 2022 CH with answers and explanations. Read each question, then practise it by topic or as a full paper.
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- Question 1 – Inhaling the smoke from a burning could you quickly.
- Question 2 – A sphere of radius r cm is packed in a box of cubical shape. What should be the minimum volume (in cm3) of the box that can enclose the sphere?
- Question 3 – Pipes P and Q can fill a storage tank in full with water in 10 and 6 minutes, respectively. Pipe R draws the water out from the storage tank at a rate…
- Question 4 – Six persons P, Q, R, S, T and U are sitting around a circular table facing the center not necessarily in the same order. Consider the following…
- Question 5 – A building has several rooms and doors as shown in the top view of the building given below. The doors are closed initially. What is the minimum…
- Question 6 – Rice, a versatile and inexpensive source of carbohydrate, is a critical component of diet worldwide. Climate change, causing extreme weather, poses a…
- Question 7 – A game consists of spinning an arrow around a stationary disk as shown below. When the arrow comes to rest, there are eight equally likely outcomes.…
- Question 8 – Consider the following inequalities. (i) 3p - q < 4 (ii) 3q - p < 12 Which one of the following expressions below satisfies the above two…
- Question 9 – Given below are three statements and four conclusions drawn based on the statements. Statement 1: Some engineers are writers. Statement 2: No writer…
- Question 10 – Which one of the following sets of pieces can be assembled to form a square with a single round hole near the center? Pieces cannot overlap.
- Question 11 – The value of (1 + i)12, where i = -1, is
- Question 12 – Given matrix A = bmatrix x & 1 & 3 \\ y & 2 & 6 \\ 3 & 5 & 7 bmatrix, the ordered pair (x, y) for which (A) = 0 is
- Question 13 – Let f(x) = e- x , where x is real. The value of dfdx at x = -1 is
- Question 14 – The value of the real variable x 0, which maximizes the function f(x) = xe e-x is
- Question 15 – For a single component system at vapor-liquid equilibrium, the extensive variables A, V, S and N denote the Helmholtz free energy, volume, entropy,…
- Question 16 – Consider turbulent flow in a pipe under isothermal conditions. Let r denote the radial coordinate and z denote the axial flow direction. On moving…
- Question 17 – Consider two stationary spherical pure water droplets of diameters d 1 and 2d 1. CO 2 diffuses into the droplets from the surroundings. If the rate of…
- Question 18 – In soap manufacturing, the triglycerides present in oils and fats are hydrolyzed to mainly produce
- Question 19 – The chemical formula of Glauber's salt, used in the Kraft process, is
- Question 20 – Catalytic reforming is commonly used in the petroleum industry to improve fuel quality. The undesirable reaction in the catalytic reforming of naphtha…
- Question 21 – A control system on the jacket side of a reactor is shown in the figure. Pressurized water flows through the jacket to cool the reactor. The heated…
- Question 22 – Liquid flowing through a heat exchanger (HX) is heated. A bypass stream is provided to control the temperature of the heated exit stream. From the…
- Question 23 – The appropriate feedforward compensator, G ff, in the shown block diagram is
- Question 24 – Choose the option that correctly pairs the given measurement devices with the quantities they measure. S No Measurement Device S No Measured Quantity…
- Question 25 – A simple distillation column is designed to separate an ideal binary mixture to specified distillate and bottoms purities at a given column pressure.…
- Question 26 – The reaction A B is carried out isothermally on a porous catalyst. The intrinsic reaction rate is kC A2, where k is the rate constant and C A is the…
- Question 27 – In an enzymatic reaction, an inhibitor (I) competes with the substrate (S) to bind with the enzyme (E), thereby reducing the rate of product (P)…
- Question 28 – The area of a circular field is 25 m2. The radius, r, is to be determined using the Newton-Raphson iterative method. For an initial guess of r = 2.500…
- Question 29 – 5 moles of liquid benzene, 8 moles of liquid toluene and 7 moles of liquid xylene are mixed at 25 °C and 1 bar. Assuming the formation of an ideal…
- Question 30 – A perfectly insulated double pipe heat exchanger is operating at steady state. Saturated steam enters the inner pipe at 100 °C and leaves as saturated…
- Question 31 – Consider steady-state diffusion in a binary A-B liquid at constant temperature and pressure. The mole-fraction of A at two different locations is 0.8…
- Question 32 – Consider interphase mass transfer of a species S between two immiscible liquids A and B. The interfacial mass transfer coefficient of S in liquid A is…
- Question 33 – A wet solid containing 20% (w/w) moisture (based on mass of bone-dry solid) is dried in a tray-dryer. The critical moisture content of the solid is…
- Question 34 – A process described by the transfer function G p(s) = (10s + 1)(5s + 1) is forced by a unit step input at time t = 0. The output value immediately…
- Question 35 – A compressor with a life of 10 years costs Rs 10 lakhs. Its yearly operating cost is Rs 0.5 lakh. If the annual compound interest rate is 8%, the…
- Question 36 – The partial differential equation u t = 122u x2 where, t 0 and x [0, 1], is subjected to the following initial and boundary conditions: u(x, 0) = (…
- Question 37 – N moles of an ideal gas undergo a two-step process as shown in the figure. Let P, V and T denote the pressure, volume and temperature of the gas,…
- Question 38 – A horizontal cylindrical water jet of diameter D 1 = 2 cm strikes a vertical solid plate with a hole of diameter D 2 = 1 cm, as shown in the figure. A…
- Question 39 – Consider a horizontal rod of radius aR (a < 1) in a stationary pipe of radius R. The rod is pulled coaxially at a constant velocity V as shown in the…
- Question 40 – Consider a bare long copper wire of 1 mm diameter. Its surface temperature is T s and the ambient temperature is T a (T s > T a). The wire is to be…
- Question 41 – Two large parallel planar walls are maintained at 1000 K and 500 K. Parallel radiation shields are to be installed between the two walls. Assume that…
- Question 42 – Saturated steam condenses on a vertical plate maintained at a constant wall temperature. If x is the vertical distance from the top edge of the plate,…
- Question 43 – Match the product in Group-1 with the manufacturing process in Group-2. The correct combination is Group-1 Group-2 --- --- P Nitric acid I Trona…
- Question 44 – The directional derivative of f(x, y, z) = 4x2 + 2y2 + z2 at the point (1,1,1) in the direction of the vector v = i - k is (rounded off to two decimal…
- Question 45 – Consider a sphere of radius 4, centered at the origin, with outward unit normal n on its surface S. The value of the surface integral S(2xi + 3yj +…
- Question 46 – The equation dydx = xy2 + 2y + x - 4.5 with the initial condition y(x = 0) = 1 is to be solved using a predictor-corrector approach. Use a predictor…
- Question 47 – A substance at 4 °C has a thermal expansion coefficient = 1v( v T) P = 0 K-1, an isothermal compressibility, T = -1v( v P) T = 5 10-4 Pa-1 and a molar…
- Question 48 – The molar excess Gibbs free energy (gE) of a liquid mixture of A and B is given by gERT = x Ax B[C 1 + C 2(x A - x B)] where x A and x B are the mole…
- Question 49 – For a pure substance, the following data at saturated conditions are given: Psat (bar) T (K) --- --- 0.693 350 1.386 370 Assume that the vapor phase…
- Question 50 – Consider the process flowsheet in the figure. An irreversible liquid-phase reaction A B (reaction rate -r A = 164x A kmol m-3 h-1) occurs in a 1 m3…
- Question 51 – Two reservoirs located at the same altitude are connected by a straight horizontal pipe of length 120 m and inner diameter 0.5 m, as shown in the…
- Question 52 – A venturi meter (venturi coefficient, C v = 0.98) is connected to a pipe of inner diameter 50 mm. Water (density 1000 kg m-3) is flowing through the…
- Question 53 – In a constant-rate cake filtration operation, the collected filtrate volumes are 120 m3 and 240 m3 at 1 min and 2 min, respectively. Assume the cake…
- Question 54 – A cylindrical fin of diameter 24 mm is attached horizontally to a vertical planar wall. The heat transfer rate from the fin to the surrounding air is…
- Question 55 – A single-effect evaporator with a heat transfer area of 70 m2 concentrates a salt solution using steam. The salt solution feed rate and temperature…
- Question 56 – An equimolar binary mixture is to be separated in a simple tray-distillation column. The feed rate is 50 kmol min-1. The mole fractions of the more…
- Question 57 – The dry-bulb temperature of air in a room is 30 °C. The Antoine equation for water is given as Psat = 12.00 - 4000T - 40 where T is the temperature in…
- Question 58 – In the block diagram shown in the figure, the transfer function G = K( s + 1) with K > 0 and > 0. The maximum value of K below which the system…
- Question 59 – Consider the tank level control system shown in the figure, where the cross-section area of the tank is A. Assume perfect flow controllers (FC). The…
- Question 60 – Consider a single-input-single-output (SISO) system with the transfer function G p(s) = 2(s + 1)(12s + 1)(14s + 1) where the time constants are in…
- Question 61 – Information for a proposed greenfield project is provided in the table. The discounted cash flow for the fourth year is Rs crores (rounded off to one…
- Question 62 – Consider the process in the figure. The liquid phase elementary reactions A + B P, -r B1 = k 1x Ax B P + B S, -r B2 = k 2x Px B S + A 2P, -r S3 = k 3x…
- Question 63 – An elementary irreversible liquid-phase reaction, 2A B, is carried out under isothermal conditions in a 1 m3 ideal plug flow reactor (PFR) as shown in…
- Question 64 – An elementary irreversible gas-phase reaction, A B + C, is carried out at fixed temperature and pressure in two separate ideal reactors: (i) a 10 m3…
- Question 65 – An elementary irreversible liquid-phase reaction, 2P k Q, where the rate constant k = 2 L mol-1 min-1, takes place in an isothermal non-ideal reactor.…