GATE CY kind:question PYQs & Answers — Page 58

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Questions 571–580 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 58 of 65

The reaction of PCl₃ with PhLi in 1:3 molar ratio yields X as one of the products, which on further treatment with CH₃I gives Y. The reaction of Y with n-BuLi gives product Z. The products X, Y and Z, respectively, are

Your answerChoose one option.

[PPh₄]Cl, [Ph₂P=CH₂] and Ph₂P(n-Bu)

PPh₃,

Ph₃PI

and Ph₂P(n-Bu)

PPh₃, [Ph₃P(CH₃)]I and Ph₃P=CH₂

[PPh₄]Cl, [Ph₃P=CH₂] and [Ph₃P(n-Bu)]Li

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The reaction of equimolar quantities of Fe(CO)₅ and OH⁻ gives a complex species X which on further reaction with MnO₂ gives species Y. X and Y, respectively, are

Your answerChoose one option.

[Fe(CO)₅(OH)]⁻ and Fe₂(CO)₉

[Fe(CO)₄]²⁻ and Mn₂(CO)₁₀

[HFe(CO)₄]⁻ and Fe₂O₃

[HFe(CO)₄]⁻ and Fe₃(CO)₁₂

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The rate constant of a first order reaction, X → Y, is 1.6 × 10⁻³ s⁻¹ at 300 K. Given that the activation energy of the reaction is 28 kJ mol⁻¹ and assuming Arrhenius behavior for the temperature dependence, the total time required to obtain 90% of Y at 350 K is__________ s. (Up to one decimal place. Use R = 8.31 J K⁻¹ mol⁻¹)

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The molar conductivity of a 0.01 M weak acid (HX) at 298 K, measured in a conductivity cell with cell constant of 0.4 cm⁻¹, is 64 S cm² mol⁻¹. The limiting molar conductivities at infinite dilution of H⁺ and X⁻ at 298 K are 350 and 410 S cm² mol⁻¹, respectively. Ignoring activity coefficients, the pKₐ of HX at 298 K is __________. (Up to two decimal places)

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The Latimer diagram of oxygen is given below. The value of x is ______ V. (Up to two decimal places)

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At temperature T, the canonical partition function of a harmonic oscillator with fundamental frequency (ν) is given by

For

, the probability of finding the harmonic oscillator in its ground vibrational state is ________. (Up to two decimal places)

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The enthalpy of vaporization of a liquid at its boiling point (Tᵦ = 200 K) is 15.3 kJ mol⁻¹. If the molar volumes of the liquid and the vapour at 200 K are 110 and 12000 cm³ mol⁻¹ respectively, then the slope

of the liquid-vapour boundary is ________ kPa K⁻¹. (Up to two decimal places. Note: 1 Pa = 1 J m⁻³)

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In a molecule XY, let

and

denote normalized atomic orbitals of atoms X and Y, respectively. A normalized molecular orbital of XY is given by

. The value of the overlap integral of

and

is ________________. (Up to two decimal places)

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The absorption maxima of two dyes X and Y are 520 and 460 nm, respectively. The absorbance data of these dyes measured in a 1 cm path length cell are given in the table below.

Dye solution	Absorbance at 460 nm	Absorbance at 520 nm
X (9 mM)	0.144	0.765
Y (12 mM)	0.912	0.168
Mixture of X and Y	0.700	0.680

The concentration of Y in the mixture is ________ mM. (Up to two decimal places)

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The π electrons in benzene can be modeled as particles in a ring that follow Pauli’s exclusion principle. Given that the radius of benzene is 1.4 Å, the longest wavelength of light that is absorbed during an electronic transition in benzene is __________ nm. (Up to one decimal place. Use mₑ = 9.1×10⁻³¹ kg, h = 6.6×10⁻³⁴ J s, c = 3.0×10⁸ m s⁻¹)

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