GATE CH 2023 CH Q25: Instrumentation and Process Control

A liquid surge tank has

and

as the inlet and outlet flow rates respectively, as shown in the figure below.

is proportional to the square root of the liquid level

. The cross-sectional area of the tank is 20 cm². Density of the liquid is constant everywhere in the system. At steady state,

cm³s⁻¹ and

cm. The variation of

with

is approximated as a first order transfer function. Which one of the following is the CORRECT value of the time constant (in seconds) of this system?

Your answerChoose one option.

128

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