GATE CH Process Calculations and Thermodynamics PYQs & Answers — Page 8

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Questions 71–79 of 79. Imported answers require independent review unless marked reviewed.

Topic practice 79 questionsPage 8 of 8

The volumetric properties of two gases M and N are described by the generalized compressibility chart which expresses the compressibility factor (

) as a function of reduced pressure and reduced temperature only. The operating pressure (

) and temperature (

) of two gases M and N along with their critical properties (

) are given in the table below.

Gas	(bar)	(K)	(bar)	(K)
M	25	300	75	150
N	75	1000	225	500

and

are the compressibility factor of the gases M and N under the given operating conditions, respectively. The relation between

and

Your answerChoose one option.

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Water is heated at atmospheric pressure from 40°C to 80°C using two different processes. In process I, the heating is done by a source at 80°C. In process II, the water is first heated from 40°C to 60°C by a source at 60°C, and then from 60°C to 80°C by another source at 80°C.

Identify the correct statement.

Your answerChoose one option.

Enthalpy change of water in process I is greater than enthalpy change in process II

Enthalpy change of water in process II is greater than enthalpy change in process I

Process I is closer to reversibility

Process II is closer to reversibility

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An aqueous salt-solution enters a crystallizer operating at steady state at 25°C. The feed temperature is 90°C and the salt concentration in the feed is 40 weight %. The salt crystallizes as a pentahydrate. The crystals and the mother liquor leave the crystallizer. The molecular weight of the anhydrous salt is 135. The solubility of the salt at 25°C is 20 weight %. The feed flowrate required for a production rate of 100 kg/s of the hydrated salt, rounded to the nearest integer, is ________ kg/s.

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Reaction A → B is carried out in a reactor operating at steady state and 1 mol/s of pure A at 425°C enters the reactor. The outlet stream leaves the reactor at 325°C. The heat input to the reactor is 17 kW. The heat of reaction at the reference temperature of 25°C is 30 kJ/mol. The specific heat capacities (in kJ/mol.K) of A and B are 0.1 and 0.15, respectively. The molar flowrate of B leaving the reactor, rounded to 2 decimal places, is __________ mol/s.

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The pressure of a liquid is increased isothermally. The molar volume of the liquid decreases from

m³/mol to

m³/mol during this process. The isothermal compressibility of the liquid is

Pa⁻¹, which can be assumed to be independent of pressure. The change in the molar Gibbs free energy of the liquid, rounded to nearest integer, is ______ J/mol.

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A sparingly soluble gas (solute) is in equilibrium with a solvent at 10 bar. The mole fraction of the solute in the gas phase is 0.01. At the operating temperature and pressure, the fugacity coefficient of the solute in the gas phase and the Henry’s law constant are 0.92 and 1000 bar, respectively. Assume that the liquid phase obeys Henry’s law. The MOLE PERCENTAGE of the solute in the liquid phase, rounded to 2 decimal places, is ______.

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The vapour pressure of a pure substance at a temperature

is 30 bar. The actual and ideal gas values of

for the saturated vapour at this temperature

and 30 bar are 7.0 and 7.7, respectively. Here,

is the molar Gibbs free energy and

is the universal gas constant. The fugacity of the saturated liquid at these conditions, rounded to 1 decimal place, is ________ bar.

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The reversible reaction of t-butyl alcohol (TBA) and ethanol (EtOH) to ethyl t-butyl ether (ETBE) is

The equilibrium constant for this reaction is

. Initially, 74 g of TBA is mixed with 100 g of aqueous solution containing 46 weight% ethanol. The molecular weights are: 74 g/mol for TBA, 46 g/mol for EtOH, 102 g/mol for ETBE, and 18 g/mol for water. The mass of ETBE at equilibrium, rounded to 1 decimal place, is _____ g.

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The following gas-phase reaction is carried out in a constant-volume isothermal batch reactor

The reactants A and B as well as the product S are non-condensable gases. At the operating temperature, the saturation pressure of the product R is 40 kPa. Initially, the batch reactor contains equimolar amounts of A and B (and no products) at a total pressure of 100 kPa. The initial concentrations of the reactants are

. The rate of reaction is given by

. The time at which R just starts condensing, rounded to 1 decimal place, is ________ s.

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GATE CH Process Calculations and Thermodynamics PYQs

Question 6

Question 7

Question 30

Question 31

Question 32

Question 33

Question 34

Question 48

Question 49