GATE CH purpose:exam-prep PYQs & Answers — Page 58 — Exam Papers

Questions 571–580 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 58 of 65

It is decided to extract A from a feed containing 20 mol% A and 80 mol% B in two ideal cross-current stages as shown below, using equal amount of pure solvent C in each stage.

Diagram for Chemical Engineering question 41

Components B and C are immiscible. 60% of A in the feed is extracted in Stage 1. The equilibrium relation is given by

where,

= moles of B per mole of A in raffinate

= moles of A per mole of C in extract in equilibrium with raffinate

The mol % of A in raffinate from Stage 2 is __________ (rounded off to second decimal place).

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A binary distillation column is designed by McCabe-Thiele method to get a distillate mole fraction of 0.9. The enriching section operating line has an intercept with y-axis at 0.3 mole fraction. The ratio of liquid to vapor molar flow rate in the enriching section is __________ (rounded off to third decimal place).

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A fiberboard sheet (1.5 m × 2.0 m × 15 mm) is being dried by suspending it horizontally in a current of hot, dry air. The edges are insulated so that drying takes place only from the top and bottom surfaces. The wet sheet weighing 16 kg with initial moisture content of 60% loses moisture at a constant rate of 1.25 × 10⁻⁵ kg m⁻² s⁻¹ until the moisture content falls to 30%. All moisture contents are on dry basis. The time required for drying during constant rate period (in hour) is __________ (rounded off to third decimal place).

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Consider the following transfer function:

where, the natural period of oscillation is in min. The amplitude ratio at a frequency of 0.5 rad/min is ____________ (rounded off to second decimal place).

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For a closed-loop system, consider the following transfer functions: process

, controller

, measuring device

, and final control element

The offset in the closed loop response due to a unit step change introduced in the set point of the output variable is ________.

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If

then the value of

is ________

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For the matrix

, if det stands for the determinant and

is the transpose of A then the value of

is ____________

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An azeotropic mixture of ethanol and water is to be separated in a distillation column using benzene as an entrainer. At the column operating conditions, two liquid phases are formed on a tray. The degree(s) of freedom of the system for the choice of intensive properties at equilibrium is(are) __________

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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

.

Diagram for Chemical Engineering question 49

The estimate of liquid height (in m) to store V = 30 m³ of water in R = 3 m tank, after performing ONE iteration of Secant method, using 1 m and 3 m as two initial guesses of liquid height is ____________ (rounded off to second decimal place).

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In a closed piston-cylinder system, methane was observed to obey the following equation of state

where

m³/mol. The temperature and volume are 500 °C and 5 m³ respectively for 100 moles of methane. At this state of the system, the isobaric rate of change of temperature with volume (in °C/m³) is __________ (rounded off to second decimal place).

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