GATE CY topic:equilibrium PYQs & Answers — Page 2

Questions 11–20 of 68. Imported answers require independent review unless marked reviewed.

The phase diagram of a single component system is given below.

The option with the correct number of degrees of freedom corresponding to the labelled points i, j, and k, respectively, is

Your answerChoose one option.

0, 1, 2

3, 2, 1

2, 0, 1

0, 2, 1

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An approximate partition function

of a gas is given below.

The equation of state(s) for this gas is/are

[Note:

is a parameter independent of volume.]

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

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The mean energy of a molecule having two available energy states at

J and

J at 300 K is _____

J (rounded off to two decimal places).\n\n[Given: Boltzmann constant (

) =

J K

]

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For the cell reaction,\n\n

\n\nThe standard cell potential is

V, and

V K

. The standard enthalpy change of the reaction (

) at 298 K is

kJ mol

. The value of

is _____ (rounded off to two decimal places).\n\n[Given: Faraday constant

C mol

]

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Consider a Carnot engine with a hot source kept at 500 K. From the hot source, 100 J of energy (heat) is withdrawn at 500 K. The cold sink is kept at 300 K. The efficiency of the Carnot engine is _____ (rounded off to one decimal place).

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The correct statement(s) related to an ensemble is (are):

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

an ensemble is a collection of an infinite number of imaginary replications of the system of interest.

all members of an ensemble are macroscopically identical and also have identical microstates.

an ensemble average of any macroscopic property of the system is equal to the value of the property averaged over a sufficiently long time.

all systems in a canonical ensemble need NOT have the same composition.

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The partial vapor pressure of 0.1 mol solution of B in liquid A is 60 kPa at 300 K. The partial vapor pressure (in kPa) of a solution containing B with mole fraction of 0.1 in liquid A at 300 K is ____. (Assume the solute B obeys Henry’s law. The molar mass of A is 80 g mol

.) (rounded off to three decimal places)

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and

are the molecular and molar translational partition functions of X₂, respectively, then

(N is the Avogadro number)

Your answerChoose one option.

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ΔS° (in J mol⁻¹ K⁻¹) for the given reaction at 298 K is ______.

[Cu(H₂O)₆]²⁺ + en → [Cu(H₂O)₄(en)]²⁺ + 2H₂O

(Given: log K₁ = 10.6, where K₁ is the equilibrium constant, ΔH° = −54 kJ mol⁻¹ and R = 8.314 J mol⁻¹ K⁻¹)

(rounded off to two decimal places)

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2 mol of a monatomic ideal gas with initial volume of 5 L and pressure 10 bar undergoes an irreversible adiabatic expansion against a constant final pressure of 1 bar. The final volume (in L) is ____.

(Given: R = 8.314 × 10⁻² L bar mol⁻¹ K⁻¹)

(rounded off to one decimal place)

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GATE CY topic:equilibrium PYQs

Question 46

Question 47

Question 62

Question 63

Question 64

Question 28

Question 34

Question 47

Question 58

Question 64