GATE CY format:nat PYQs & Answers — Page 15

Questions 141–150 of 166. Imported answers require independent review unless marked reviewed.

Topic practice 166 questionsPage 15 of 17

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)

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

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)

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

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)

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

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)

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The spacing between the two adjacent lines of the microwave spectrum of H³⁵Cl is 6.35 × 10¹¹ Hz. Given that the bond length of D³⁵Cl is 5% greater than that of H³⁵Cl, the corresponding spacing for D³⁵Cl is ______ × 10¹¹ Hz. (Up to two decimal places)

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

For a diatomic vibrating rotor, in vibrational level

and rotational level J, the sum of the rotational and vibrational energies is 11493.6 cm⁻¹. Its equilibrium oscillation frequency is 2998.3 cm⁻¹, anharmonicity constant is 0.0124 and rotational constant under rigid rotor approximation is 9.716 cm⁻¹. The value of J is ____________. (Up to nearest integer)

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Number of carbonyl groups present in the final product of the following reaction sequence is __________.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A tetrapeptide, made up of natural amino acids, has alanine as the N-terminal residue which is coupled to a chiral amino acid. Upon complete hydrolysis, the tetrapeptide gives glycine, alanine, phenylalanine and leucine. The number of possible sequences of the tetrapeptide is _____.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The strongest band observed in the IR spectrum of the final product of the following reaction appears, approximately, at _____ × 100 cm⁻¹. (Up to one decimal place)

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The rate constant of a reaction is 1.25 × 10⁻⁴ mol L⁻¹ s⁻¹. If the initial concentration of the reactant is 0.250 mol L⁻¹, the total time (in seconds) required for complete conversion is ______.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

GATE CY format:nat PYQs

Question 47

Question 48

Question 49

Question 50

Question 51

Question 52

Question 53

Question 54

Question 55

Question 4