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

In the cell reaction
P⁺(𝑎𝑞)+Q(𝑠)→P(𝑠)+Q⁺(𝑎𝑞) 
the EMF of the cell, 𝐸_{𝑐𝑒𝑙𝑙} is zero. The standard EMF of the cell, 𝐸^𝑜_{𝑐𝑒𝑙𝑙} is 
[Given: 
Activities of all solids are unity. 
Activity of P⁺(𝑎𝑞) is 2 M. Activity of Q⁺(𝑎𝑞) is 1 M. 
𝑅 = universal gas constant; 𝑇 = temperature; 𝐹 = Faraday constant]

A system undergoes one clockwise cycle from point X back to point X as shown in the figure below:

The correct statement about this process is

A salt QCl of a certain metal Q is electrolyzed to its elements. 40 g of metal Q is formed at an electrode. The volume of Cl₂ formed at the other electrode at 1 atm pressure and 298 K is _______ litres. (rounded off to one decimal place)
[Given: The gas constant 𝑅 = 0.082 L atm mol⁻¹ K⁻¹ , the molar mass of Q is 40 g mol⁻¹ and Cl₂ is assumed to be an ideal gas]

The unit cell of a two-dimensional square lattice with lattice parameter a is indicated by the dashed lines as shown below:

The percentage (%) area occupied by the grey circles (of radius r) inside the unit cell is _______. (rounded off to the nearest integer)

The ratio of osmotic pressures of aqueous solutions of 0.01 M BaCl₂ to 0.005 M NaCl is
[Given: Both compounds dissociate completely in water]

An element E has three isotopes:
\(28\\14 E\) (abundance 92.21%, atomic mass: 27.977 a.m.u.), 
\(29\\14 E\) (abundance 4.70%, atomic mass: 28.976 a.m.u.), and 
\(30\\14 E\) (abundance 3.09%, atomic mass: 29.974 a.m.u). 
The atomic mass of E is _______ a.m.u. 
(rounded off to three decimal places

A 1.0 L solution is prepared by dissolving 2.0 g of benzoic acid and 4.0 g of sodium benzoate in water. The pH of the resulting solution is _______. (rounded off to one decimal place)
Given: Molar mass of benzoic acid is 122 g mol⁻¹ 
Molar mass of sodium benzoate is 144 g mol⁻¹ 
p𝐾_a of benzoic acid is 4.2

If 1 M of a dye in water transmits 50% of incident light at 400 nm, then 2 M of the dye in water transmits _______ % of the incident light at 400 nm. (rounded off to the nearest integer)
[Given: Both experiments are performed in the same spectrophotometric cell.]

The wavelength of the γ-ray emitted in

is _______ Å. (rounded off to three decimal places)
[Given: h=6.626×10 ⁻³⁴ J s; c=2.998×10⁸ m s⁻¹ ; 1 MeV=1.602×10⁻¹³ J]

The total vapour pressure of an ideal binary liquid mixture of benzene and toluene is 0.3 bar. The vapour pressure of pure benzene is 0.5 bar and that of toluene is 0.2 bar. The mole fraction of benzene in this mixture is _______.
(rounded off to two decimal places)

In the oxidation of phosphorus with oxygen, 0.2 mol of P₄ produces ____ g of P₄O₁₀.
(rounded off to one decimal place) 
[Given: Atomic weight of P = 31; Atomic weight of O = 16]

The shape of SCN¯ is

Mobility of ions Li⁺ , Na⁺ , K⁺ , Ag⁺ in water at 298 K follows the order

For a zero-order reaction P→Q, the concentration of P becomes half of its initial concentration in 30 minutes after starting the reaction.
The concentration of P becomes zero at ____ minutes. (rounded off to the nearest integer)

The enthalpy change for the reaction
C(𝑔) +\( \frac{1}{2}\) O₂(𝑔)→CO(𝑔) is _______ kJ per mole of CO(𝑔) produced. 
(rounded off to one decimal place) 
[Given: 
C(𝑔)+O₂(𝑔) → CO₂(𝑔), ΔH_rxn = −393.5 kJ per mole of CO₂(𝑔) produced 
CO₂(𝑔) → CO(𝑔) +\( \frac{1}{2}\) O₂(𝑔), ΔH_rxn = 283.0 kJ per mole of CO(𝑔) produced]

Consider photoelectric effect. The number of incident photons is the same for all frequencies. The plot that best describes the dependence of the number of photoelectrons (n) emitted as a function of the incident light frequency (ν) is

Identify the reaction for which, at equilibrium, a change in the volume of the closed reaction vessel at a constant temperature will not affect the extent of the reaction

Consider the wavefunction 𝜓(𝑥) = 𝑁[exp(𝑖𝑘𝑥) + exp(−𝑖𝑘𝑥)]. The complex conjugate 𝜓 ∗ (𝑥) is [Given: 𝑁 is the normalization constant; 𝑖=\(\sqrt-1\)]

A pair of isosteric compounds is

0.1 M aqueous solution of a weak monobasic acid has pH 2.0. The pKa of the monobasic acid is _______. (rounded off to one decimal place)

The magnitude of energy difference between the energy levels 𝑛=3 and 𝑛=2 of a quantum particle of mass 𝑚 in a box of length L is \(\frac{Xℎ ^2}{ 8𝑚L ^2} .\) 
Then X = _______. 
(rounded off to the nearest integer) 
[Given: ℎ is Planck’s constant and 𝑛 denotes the quantum number]

Wavelength of X-rays used in a diffraction experiment is 1.54 Å. X-rays are diffracted from a set of planes with an interplanar spacing of 1.54 Å. Then the angle θ (in degrees) corresponding to the first-order Bragg diffraction is

For the reaction

if the concentration of KCN is increased four times, then the rate of the reaction would be

If nitrogen and oxygen gases are at the same temperature, the correct statement according to the kinetic theory of gases is

Consider the exothermic chemical reaction O₂(𝑔)+2H₂(𝑔) ⇌ 2H₂O(𝑔) at equilibrium in a closed container. The correct statement(s) is/are