GATE CH 2021 Paper 1 — page 11

Questions 31–33 of 65. Imported answers require review unless explicitly marked reviewed.

The van der Waals equation of state is given by

where

and

represent reduced pressure, reduced temperature and reduced molar volume, respectively. The compressibility factor at critical point (

) is 3/8.

and

, then the compressibility factor based on the van der Waals equation of state is __________ (round off to 2 decimal places).

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Consider a steady flow of an incompressible, Newtonian fluid through a smooth circular pipe. Let

and

denote the kinetic energy correction factors for laminar and turbulent flow through the pipe, respectively. For turbulent flow through the pipe

Here,

is the average velocity,

is the centerline velocity, and

is a parameter. The ratio of average velocity to the centerline velocity for turbulent flow through the pipe is given by

For

, the value of

is __________ (round off to 2 decimal places).

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The molar heat capacity at constant pressure

(in J mol⁻¹ K⁻¹) for n-pentane as a function of temperature (T in K) is given by

At 100 K, the rate of change of molar entropy of n-pentane with respect to temperature at constant pressure is __________ J mol⁻¹ K⁻² (round off to 2 decimal places).

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2021 · Paper 1

Question 21

Question 22

Question 23