GATE CH topic:process-calculations-thermodynamics PYQs & Answers — Page 3

Questions 21–30 of 79. Imported answers require independent review unless marked reviewed.

Consider the process in the figure for manufacturing B. The feed to the process is 90 mol% A and a close-boiling inert component I. At a particular steady-state: •

product rate is 100 kmol h

• Single-pass conversion of A in the reactor is 50% • Recycle-to-purge stream flow ratio is 10 The flow rate of A in the purge stream in kmol h

, rounded off to 1 decimal place, is ____

Diagram for Chemical Engineering question 54

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Methane combusts with air in a furnace as

. The heat of reaction

kJ per mol

and is assumed to be constant. The furnace is well insulated and no other side reactions occur. All components behave as ideal gases with a constant molar heat capacity of 44 J mol

°C

. Air may be considered as 20 mol%

and 80 mol%

. The air-fuel mixture enters the furnace at 50 °C. The methane conversion

varies with the air-to-methane mole ratio,

, as

where

is the stoichiometric air-to-methane mole ratio. For

, the exit gas temperature in °C, rounded off to 1 decimal place, is _____

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An isolated system consists of two perfectly sealed cuboidal compartments A and B separated by a movable rigid wall of cross-sectional area 0.1 m

as shown in the figure. Initially, the movable wall is held in place by latches

and

such that the volume of compartment A is 0.1 m

. Compartment A contains a monoatomic ideal gas at 5 bar and 400 K. Compartment B is perfectly evacuated and contains a massless Hookean spring of force constant 0.3 N m

at its equilibrium length (stored elastic energy is zero). The latches

and

are released, the wall moves to the right by 0.2 m, where it is held at the new position by latches

and

. Assume all the walls and latches are massless. The final equilibrium temperature, in K, of the gas in compartment A, rounded off to 1 decimal place, is ________

Diagram for Chemical Engineering question 56

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Ethylene obeys the truncated virial equation-of-state

where P is the pressure, V is the molar volume, T is the absolute temperature and B is the second virial coefficient. The universal gas constant

bar cm

mol

. At 340 K, the slope of the compressibility factor vs. pressure curve is

bar

. Let

denote the molar residual Gibbs free energy. At these conditions, the value of

, in cm

mol

, rounded off to 1 decimal place, is __________

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Heat is available at a rate of 2 kW from a thermal reservoir at 400 K. A two-stage process harnesses this heat to produce power. Stages 1 and 2 reject heat at 360 K and 300 K, respectively. Stage 2 is driven by the heat rejected by Stage 1. If the overall process efficiency is 50% of the corresponding Carnot efficiency, the power delivered by the process, in kW, rounded off to 2 decimal places, is _____

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For a reversible endothermic chemical reaction with constant heat of reaction over the operating temperature range,

is the thermodynamic equilibrium constant. Which one of the following figures shows the CORRECT dependence of

on temperature

Your answerChoose one option.

Diagram for Chemical Engineering question 17

Diagram for Chemical Engineering question 17 (figure 2)

Diagram for Chemical Engineering question 17 (figure 3)

Diagram for Chemical Engineering question 17 (figure 4)

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John and Jane independently performed a thermodynamic experiment, in which X and Y represent the initial and final thermodynamic states of the system, respectively. John performed the experiment under reversible conditions, for which the change in entropy of the system was

. Jane performed the experiment under irreversible conditions, for which the change in entropy of the system was

. Which one of the following relationships is CORRECT?

Your answerChoose one option.

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Consider a system where a Carnot engine is operating between a source and a sink. Which of the following statements about this system is/are NOT correct?

Your answerSelect all correct options. You can choose more than one.

This engine is reversible.

The engine efficiency is independent of the source and sink temperatures.

This engine has the highest efficiency among all engines that operate between the same source and sink.

The total entropy of this system increases at the completion of each cycle of the engine.

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Burning of methane in a combustor yields carbon monoxide, carbon dioxide, and water vapor. Methane is fed to the combustor at 100 mol·hr

, of which 50 % reacts. The theoretical oxygen requirement (in mol·hr

) is ________ (rounded off to one decimal place).

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Water in a container at 290 K is exposed to air containing 3 %

by volume. Air behaves like an ideal gas and is maintained at 100 kPa pressure. The liquid phase comprising of dissolved

in water behaves like an ideal solution. Use Henry’s constant of

dissolved in water at 290 K as 12 MPa. Under equilibrium conditions, which one of the following is the CORRECT value of the mole fraction of

dissolved in water?

Your answerChoose one option.

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GATE CH topic:process-calculations-thermodynamics PYQs

Question 54

Question 55

Question 56

Question 57

Question 61

Question 17

Question 19

Question 28

Question 32

Question 40