Chemical Engineering Gate 2016 Questions with Answer

Ques 53 GATE 2016

For a unit step input, the response of a second order system is y(t) = K (1 - e^{-t/τ} - (t/τ) e^{-t/τ}) where, K is the steady state gain, τ is the damping coefficient, ω is the natural period of oscillation and φ is the phase lag. The overshoot of the system is exp (-π ζ / √(1 - ζ^2)). For a unit step input, the response of the system from an initial steady state condition at t = 0 is shown in the figure below. What is the natural period of oscillation (in seconds) of the system?

Ques 54 GATE 2016

Standard pipes of different schedule numbers and standard tubes of different BWG numbers are available in the market. For a pipe / tube of a given nominal diameter, which one of the following statements is TRUE?

Ques 55 GATE 2016

The partial molar enthalpy (in kJ/mol) of species 1 in a binary mixture is given by h₁ = 2x₂² + 30x₁x₂, where x₁ and x₂ are the mole fractions of species 1 and 2, respectively. The partial molar enthalpy (in kJ/mol, rounded off to the first decimal place) of species 1 at infinite dilution is _______

Ques 56 GATE 2016

Match the dimensionless numbers in Group-1 with the ratios in