GATE CY branch:cy PYQs & Answers — Page 26

Questions 251–260 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 26 of 65

For the non-dissociative adsorption of a gas on solid, (i) the Freundlich isotherm is given by

where

is surface coverage,

is pressure,

and

are empirical constants; and (ii) the BET isotherm is given by

where

and

are empirical constants, and

. The correct statement(s) is(are)

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

At low surface coverage, the Langmuir isotherm reduces to the Freundlich isotherm with

At high surface coverage, the Langmuir isotherm reduces to the Freundlich isotherm with

At very low pressure (

), the BET isotherm reduces to the Langmuir isotherm

At very high pressure (

), the BET isotherm reduces to the Langmuir isotherm

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Two different enzyme catalysis reactions I and II have identical Y-intercepts for the Lineweaver-Burke (equation given below) plots. The slope for reaction I is twice that of reaction II.

If the initial concentrations of enzymes in I and II are same, the correct statement(s) is(are)

where

and

are rate and maximum rate;

is Michaelis-Menten constant, and [S] is substrate concentration.

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

Reactions I and II have same turn over number

Michaelis-Menten constants for reactions I and II are identical

Michaelis-Menten constant for reaction I is twice that of reaction II

The rates of the elementary steps for reactions I and II are identical

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The enthalpy change for the exothermic reaction between BeI₂ and HgF₂ is ______ kJ mol⁻¹ (rounded off to the nearest integer)

(Given: Bond dissociation energy (in kJ mol⁻¹) for Be–F = 632, Be–I = 289, Hg–F = 268 and Hg–I = 145)

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Number of carbon atoms connected to the metal center in [W(C₆₀)(CO)₅] is ______ (rounded off to the nearest integer)

(Given: atomic number of W is 74)

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Two-component solid-liquid system of naphthalene-benzene forms a simple eutectic mixture. Assuming that naphthalene-benzene forms an ideal solution, the mole fraction of naphthalene in benzene at 300 K and 1 bar is ______ (rounded off to two decimal places)

(Given: Freezing point (T₍fp₎) and enthalpy of fusion (ΔH₍fus₎) of naphthalene are 353 K and 19.28 kJ mol⁻¹, respectively and gas constant (R) = 8.31 J K⁻¹ mol⁻¹)

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The intrinsic viscosity of a sample of polystyrene in toluene is 84 cm³ g⁻¹ at 30 °C. It follows Mark-Houwink equation with empirical constant values of K = 1.05 × 10⁻² cm³ g⁻¹ and a = 0.75. The molecular weight of the polymer is ______ × 10³ g mol⁻¹ (rounded off to the nearest integer)

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According to Debye-Hückel limiting law, the mean molal activity coefficient for 0.87 g K₂SO₄ (molar mass = 174 g mol⁻¹) in 1 kg of water at 25 °C is ______ (rounded off to two decimal places)

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A solution is prepared by dissolving 128 g of naphthalene (C₁₀H₈) in 780 g of benzene (C₆H₆). The vapor pressure of pure benzene is 12.6 kPa at 25 °C. Assuming that naphthalene in benzene is an ideal solution, the partial vapor pressure of benzene is ______ kPa (rounded off to two decimal places)

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For the galvanic cell: H₂ (g) | HCl (aq) | Cl₂ (g)

the standard electromotive force (E⁰) value is given by

where E⁰ is in Volts and T is in Kelvin.

For the cell reaction, the standard enthalpy change (ΔᵣH⁰) at 300 K is ______ kJ mol⁻¹ (rounded off to the nearest integer)

(Given: Faraday constant, F = 96500 C mol⁻¹)

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A solution of three non-interacting compounds P, Q, and R is taken in a cuvette of 1 cm path length. Their concentrations are [P] = 1×10⁻⁶ M, [Q] = 2×10⁻⁶ M, [R] = 3×10⁻⁶ M and the molar extinction coefficients at 300 nm are εₚ = 1×10⁵ M⁻¹ cm⁻¹, εQ = 2×10⁵ M⁻¹ cm⁻¹ and εR = 3×10⁵ M⁻¹ cm⁻¹. The % transmittance at 300 nm is ______ (rounded off to two decimal places)

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GATE CY branch:cy PYQs

Question 56

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Question 65