GATE CY topic:equilibrium PYQs & Answers — Page 5

Questions 41–50 of 68. Imported answers require independent review unless marked reviewed.

2 L of a gas at 1 atm pressure is reversibly heated to reach a final volume of 3.5 L. The absolute value of the work done on the gas (rounded off to the nearest integer) is ______ Joules.

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The activity of ‘m’ molal CuSO₄ solution can be expressed in terms of its mean activity coefficient (γ±) as:

Your answerChoose one option.

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When three moles of helium is mixed with one mole of neon at constant temperature and pressure (25 °C, 1 atm), the entropy of mixing (in J K

, rounded off to two decimal places) is ______

(Given: R = 8.314 J K

mol

)

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At 25 °C, the emf (in volts, rounded off to three decimal places) of the cell,

Ag | AgBr(s) | Br

(a = 0.20), Cu

(a = 0.48), Cu

(a = 0.24) | Pt

is ______

(Given: The standard emf of the cell is 0.082 V; R = 8.314 J K

mol

; F = 96500 C mol

)

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and

for Fe(g) are 370.7 kJ mol

and 416.3 kJ mol

at 298 K, respectively. Assuming

is constant in the interval 250 K to 375 K,

(rounded off to the nearest integer) for Fe(g) at 375 K is:

Your answerChoose one option.

359 kJ mol

338 kJ mol

325 kJ mol

310 kJ mol

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The van der Waals constants

and

for gaseous CO are given as 1.49 L

atm mol

and 0.039 L mol

, respectively. The fugacity (in atm, rounded off to two decimal places) of CO at 35 °C and 95 atm is ________ (Given:

L atm K

mol

)

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At 30 °C, the vapor pressure and density of a 1.0 M aqueous solution of sucrose are 31.207 mm Hg and 1.1256 g/mL, respectively. If the vapor pressure of pure water at 30 °C is 31.824 mm Hg, the activity coefficient (rounded off to three decimal places) of water in the given solution is ________ (Given: The molar mass of sucrose = 342.3 g mol

)

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Consider the following phase diagram of CO₂ (not to scale). At equilibrium, the INCORRECT statement is:

Your answerChoose one option.

At 200 K, on increasing the pressure from 1 to 50 atm, CO₂ gas condenses to liquid.

It is not possible to obtain liquid CO₂ from gaseous CO₂ below 5.11 atm.

Both liquid and gas phase of CO₂ coexist at 298.15 K and 67 atm.

With increasing pressure, the melting point of solid CO₂ increases.

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An ideal gas occupies an unknown volume V liters (L) at a pressure of 12 atm. The gas is expanded isothermally against a constant external pressure of 2 atm so that its final volume becomes 3 L. The work involved for this expansion process is ________ cal. (Round off to two decimal places) (Gas constant R = 0.082 L atm mol⁻¹ K⁻¹ = 2 cal mol⁻¹ K⁻¹)

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The entropy change for the melting of ‘x’ moles of ice (heat of fusion is 80 cal g⁻¹) at 273 K and 1 atm pressure is 28.80 cal K⁻¹. The value of ‘x’ is ______. (Round off to two decimal places) (Molecular weight of water =18 g/mol)

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GATE CY topic:equilibrium PYQs

Question 54

Question 14

Question 22

Question 23

Question 42

Question 52

Question 53

Question 8

Question 20

Question 21