Chemical Engineering Gate 2018 Questions with Answer

Ques 14 GATE 2018

Consider the following two equations:
dx/dt + x + y =0
dy/dt - x = 0
The above set of equations is represented by

Ques 15 GATE 2018

The fourth order Runge-Kutta (RK4) method to solve an ordinary differential equation dy/dx = f(x,y) is given as

Ques 16 GATE 2018

A watch uses two electronic circuits (ECs). Each EC has a failure probability of 0.1 in one year of operation. Both ECs are required for functioning of the watch. The probability of the watch functioning for one year without failure is

Ques 17 GATE 2018

The figure which represents y = sin x/ x for x > 0 (x in radians) is

A

B

C

D

Ques 18 GATE 2018

A person is drowning in sea at location R and the lifeguard is standing at location P. The beach boundary is straight and horizontal, as shown in the figure.

Ques 19 GATE 2018

If y = e^-x2 then the value of lim_x→∞ (dy/dx)/x is ________.

Ques 20 GATE 2018

For the matrix A = [cos θ -sin θ; sin θ cos θ], if det stands for the determinant and A^T is the transpose of A then the value of det(A^T A) is ____________

Ques 21 GATE 2018

The volume of liquid filled in a spherical storage tank of radius R is computed from height of liquid, h, in the outside tube (neglecting the volume of liquid in the outside tube) as V=π h² (3R - h)/3.

Ques 22 GATE 2018

The terminal velocity of a spherical particle in gravitational settling under Stokes’ regime varies

Ques 23 GATE 2018

Pitot tube is used to measure

Ques 24 GATE 2018

A Venturi meter is installed to measure the flow rate of water in a 178 mm diameter (ID) pipe. The throat diameter is 102 mm. The differential pressure measured using a manometer is 154.3 kN/m².
The data given are: discharge coefficient = 0.98; water density = 1000 kg/m³.

Ques 25 GATE 2018

The initial water level in a tank is 4 m. When the valve located at the bottom is opened, the rate of change of water level (L) with respect to time (t) is,
dL/dt = −k√t, where
k = 0.6 m s^−3/2.
The level of water (in m) in the tank at time 0.5 s after opening the valve is ____________ (rounded off to second decimal place).

Ques 26 GATE 2018

Under isothermal condition, a vertical tube of length L = 100 m contains a gas of molecular weight equal to 60.
The pressure and temperature at the top of the tube are 100 kPa and 25 °C, respectively.
Consider the universal gas constant and acceleration due to gravity as 8.314 J mol⁻¹ K⁻¹ and 9.81 m s⁻², respectively.
If the gas is ideal, the pressure (in kPa) at the bottom of the tube will be ____________ (rounded off to third decimal place).