Plot the level response for a tank with constant cross-sectional area of 4 ft2 as a function of time for the following sequence of events; assume an initial level of 1.0 ft with the drain open, and that level and outflow rate are linearly related. The steady-state inflow and outflow are initially equal to 2 ft3/min. The graph should show numerical values of level vs. time. The drain is suddenly closed, and the inflow remains constant for 3 min (0 ≤ t ≤ 3). The drain is opened for 15 min, keeping the inflow at 2 ft3/min, where a steady state is essentially reached (3 ≤ t ≤ 18). The inflow rate is doubled to 4 ft3/min for 15 min (18 ≤ t ≤ 33). The inflow rate is returned to its original value of 2 ft3/min for 17 min (33 ≤ t ≤ 50).

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
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Plot the level response for a tank with constant cross-sectional area of 4 ft2 as a function of time for the following sequence of events; assume an initial level of 1.0 ft with the drain open, and that level and outflow rate are linearly related. The steady-state inflow and outflow are initially equal to 2 ft3/min. The graph should show numerical values of level vs. time.

The drain is suddenly closed, and the inflow remains constant for 3 min (0 ≤ t ≤ 3).
The drain is opened for 15 min, keeping the inflow at 2 ft3/min, where a steady state is essentially reached (3 ≤ t ≤ 18).
The inflow rate is doubled to 4 ft3/min for 15 min (18 ≤ t ≤ 33).
The inflow rate is returned to its original value of 2 ft3/min for 17 min (33 ≤ t ≤ 50).

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