Chemical Engineering Gate 2016 Questions with Answer

Ques 14 GATE 2016

Which one of the following is an iterative technique for solving a system of simultaneous linear algebraic equations?

Ques 15 GATE 2016

The Laplace transform of e^at sin(bt) is

Ques 16 GATE 2016

What are the modulus (r) and argument (θ) of the complex number 3 + 4i?

Ques 17 GATE 2016

A set of simultaneous linear algebraic equations is represented in a matrix form as shown below.

Ques 18 GATE 2016

What is the solution for the second order differential equation d²y/dx² + y = 0, with the initial conditions y(0)=5 and dy/dx at x=0 =10?

Ques 19 GATE 2016

The model y = m x² is to be fit to the data given below.

Ques 20 GATE 2016

The Lagrange mean-value theorem is satisfied for f(x) = x³ + 5, in the interval (1,4) at a value (rounded off to the second decimal place) of x equal to _______

Ques 21 GATE 2016

Values of f(x) in the interval are given below.

Ques 22 GATE 2016

For a flow through a smooth pipe, the Fanning friction factor (f) is given by f = ε Re^{-0.2} in the turbulent flow regime, where Re is the Reynolds number and ε is a constant. Water flowing through a section of this pipe with a velocity 1 m/s results in a frictional pressure drop of 10 kPa. What will be the pressure drop across this section (in kPa), when the velocity of water is 2 m/s?

Ques 23 GATE 2016

A vertical cylindrical vessel has a layer of kerosene (of density 800 kg/m³) over a layer of water (of density 1000 kg/m³). L-shaped glass tubes are connected to the column 30 cm apart. The interface between the two layers lies between the two points at which the L-tubes are connected. The levels (in cm) to which the liquids rise in the respective tubes are shown in the figure below.

Ques 24 GATE 2016

A rigid solid sphere falls with constant velocity in a fluid. Given: viscosity of the fluid μ = 0.1 Pa·s, gravity g = 10 m s^-2, particle density ρ_p = 1180 kg m^-3 and fluid density ρ_f = 1000 kg m^-3. The diameter (in mm, rounded off to the second decimal place) of the largest sphere that settles in the Stokes’ law regime (Reynolds number ≤ 0.1) is ______?

Ques 25 GATE 2016

An agitated cylindrical vessel is fitted with baffles and flat blade impellers. The power number for this system is given by N_p = P / (ρ n³ D⁵) where P is the power consumed for the mixing, ρ is the density of the fluid, n is the speed of the impeller and D is the diameter of the impeller. The diameter of the impeller is 1/3rd the diameter of the tank and the height of liquid level is equal to the tank diameter. The impeller speed to achieve the desired degree of mixing is 4 rpm. In a scaled up design, the linear dimensions of the equipment are to be doubled, holding the power input per unit volume constant. Assuming the liquid to be Newtonian and N_p to be independent of Reynolds number, what is the impeller speed (in rpm) to achieve the same degree of mixing in the scaled up vessel?

Ques 26 GATE 2016

The characteristics curve (Head – Capacity relationship) of a centrifugal pump is represented by the equation ΔH_pump = 43.8 - 0.19 Q, where ΔH_pump is the head developed by the pump (in m) and Q is the flowrate (in m³/h) through the pump. This pump is to be used for pumping water through a horizontal pipeline. The frictional head loss ΔH_piping (in m) is related to the water flowrate Q_L (in m³/h) by the equation ΔH_piping = 0.0135 Q_L^2 + 0.045 Q_L. The flowrate (in m³/h, rounded off to the first decimal place) of water pumped through the above pipeline, is _______