GATE CH format:nat PYQs & Answers — Page 18

Questions 171–180 of 252. Imported answers require independent review unless marked reviewed.

Topic practice 252 questionsPage 18 of 26

Consider the following dataset:

	1	3	5	15	25
	6	8	10	12	5

The value of the integral

using Simpson’s 1/3rd rule is ________ (round off to 1 decimal place).

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The product of the eigenvalues of the matrix

is ______ (rounded off to one decimal place).

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For a hydraulic lift with dimensions shown in figure, assuming

, the maximum diameter

(in m) that lifts a vehicle of mass 1000 kg using a force of 100 N is ______ (rounded off to two decimal places).

Diagram for Chemical Engineering question 23

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The liquid flow rate through an equal percentage control valve, when fully open, is 150 gal/min and the corresponding pressure drop is 50 psi. If the specific gravity of the liquid is 0.8, then the valve coefficient,

(in gal/(min psi

)) is ______ (rounded off to two decimal places).

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Consider a sealed rigid bottle containing CO

and H

O at 10 bar and ambient temperature. Assume that the gas phase in the bottle is pure CO

and follows the ideal gas law. The liquid phase in the bottle contains CO

dissolved in H

O and is an ideal solution. The Henry’s constant at the system pressure and temperature is

bar. The equilibrium mole fraction of CO

dissolved in H

O is ______ (rounded off to three decimal places).

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and

are directions in a Cartesian coordinate system and

and

are the respective unit vectors, the directional derivative of the function

at the point

in the direction

is __________ (rounded off to two decimal places).

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Two unbiased dice are thrown. Each dice can show any number between 1 and 6. The probability that the sum of the outcomes of the two dice is divisible by 4 is__________ (rounded off to two decimal places).

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The Newton-Raphson method is used to determine the root of the equation

. If the initial guess for the root is 0, the estimate of the root after two iterations is ________ (rounded off to three decimal places).

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Carbon monoxide (CO) reacts with hydrogen sulfide (H₂S) at a constant temperature of 800 K and a constant pressure of 2 bar as:

The Gibbs free energy of the reaction

J/mol and universal gas constant

J/(mol K). Both the reactants and products can be assumed to be ideal gases. If initially only 4 mol of H₂S and 1 mol of CO are present, the extent of the reaction (in mol) at equilibrium is ________ (rounded off to two decimal places).

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For a given binary system at constant temperature and pressure, the molar volume (in m³/mol) is given by:

, where

and

are the mole fractions of components A and B, respectively. The volume change of mixing

(in m³/mol) at

is ________ (rounded off to one decimal place).

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GATE CH format:nat PYQs

Question 55

Question 22

Question 23

Question 24

Question 25

Question 34

Question 35

Question 36

Question 37

Question 38