List of top Physical Chemistry Questions asked in Indian Institute Of Technology Joint Admission Test for MSc

In the Born-Haber cycle, the heat of formation of CuCl is ______ kJ/mol.
[Given: Heat of atomization of Cu = +338 kJ/mol, 
Ionization energy of Cu = +746 kJ/mol, 
Heat of atomization of Cl₂ = +121 kJ/mol, 
Electron affinity of Cl = −349 kJ/mol, and 
Lattice energy of CuCl = −973 kJ/mol] 
(round off to the nearest integer)

When a glass capillary tube is dipped in water, a 1.0 cm rise in the water level is observed at 18 °C. The internal radius of the capillary is ______ cm.
[Given: Surface tension of water at 18 °C = 73.2 dyne cm⁻¹ ; difference in the densities of water and air at 18 °C = 0.996 g cm⁻³ ; gravitational acceleration constant, g = 980 cm s⁻² .
Assume that water completely wets the glass capillary and the interface between the water and the air phase inside the capillary is a hemisphere.] (round off to two decimal places)

The molecule(s) that follow(s) 𝐼_𝑎< 𝐼_𝑏=𝐼𝑐 (𝐼_𝑎, 𝐼_𝑏, and 𝐼_𝑐 are the principal moments of inertia) is/are

The volume of 2.0 mol of an ideal gas is reduced to half isothermally at 300 K in a closed system. The value of ΔG is_____ kJ.
[Given: R=8.314 J mol^-1 K^-1 ] 
(round off to two decimal places)

The spin-only magnetic moment of B₂ molecule is_____ μ_𝐵 .
(round off to two decimal places)

The highest possible energy of a photon in the emission spectrum of hydrogen atom is ______ eV.
[Given: Rydberg constant = 13.61 eV] 
(round off to two decimal places)

A 0.06 g/mL solution of (S)-1-phenylethanol placed in a 5 cm long polarimeter tube shows an optical rotation of 1.2^o . The specific rotation is ______ ^o .
(round off to the nearest integer)

The isoelectric point of glutamic acid is ______.

(round off to two decimal places)

The phase diagram of water is best represented by

The standard Gibbs free energy change for the reaction
$H_2O (g) → H_2 (g) + ½ O_2(g)$ at 2500 K is $+118 kJ mol^{-1}$
The equilibrium constant for the reaction is
[Given: $R= 8.314 J K^{-1} mol^{-1}$]

Among the following, the reaction(s) that favor(s) the formation of the products at 25 °C is/are

The Maxwell-Boltzmann distribution $f(v_x)$ of one-dimensional velocities $v_x$ at temperature T is [Given: A is a normalization constant such that $ \int_{-\infty}^{\infty} f(v_x) dv_x = 1$, and $k_B$ is the Boltzmann constant]

The spacing between successive rotational energy levels of a diatomic molecule XY and its heavier isotopic analogue X'Y' varies with the rotational quantum number, J, as

All possible lattice types are observed in the

The number of signals observed in the $^1H NMR$ spectrum of the compound

is _________.

For an N-atom nonlinear polyatomic gas, the constant volume molar heat capacity Cv,m has the expected value of 3(N-1)R, based on the principle of equipartition of energy. The correct statement(s) about the measured value of Cv,m is/are

The common point defect(s) in a solid is/are

The d spacing for the first-order X-ray ($\lambda$= 1.54 Å) diffraction event of metallic iron (fcc) at $2\theta= 20.2°$ is _______.Å. (round off to three decimal places)

The number of CO stretching bands in the infrared spectrum of $Fe(CO)_5$ is

The reaction involve(s)

The conversion of $ICl$ to $ICl^+$ involve(s)

The volume fraction for an element in an fcc lattice is ____________ . (round off to two decimal places)

The ratio of the $2p → 1s$ transition energy in $He^+$ to that in the H atom is closest to

The potential for a particle in a one-dimensional box is given as:
$V(x)=0$ for $0≤x≤L,$ and $V(x) = ∞$ elsewhere.
The locations of the internal nodes of the eigenfunctions $\Psi _n(x), n≥2$, are
[Given: m is an integer such that 0<m<n]

Capillary W contains water and capillary M contains mercury. The contact angles between the capillary wall and the edge of the meniscus at the air-liquid interface in $W$ and $M$ are $\theta_W$ and $\theta_M$, respectively. The contact angles satisfy the conditions