​The number of cation vacancies per mole,

The system with the largest internal pressure is

A compound consists of atoms A and B. Atoms of B form cubic close packing lattice and atoms of A occupy half of octahedral voids and half of tetrahedral voids. What is the molecular formula of the compound?

Entropy associated with a die with all its six faces having equal probability of being on top is (k_B : Boltzmann constant):

​$$\text{The characters of a reducible representation } \Gamma_R \text{ under the } C_{3h} \text{ point group are presented at the end of the character table below. The correct coefficients of the irreducible representations } A' \text{ and } A'' \text{ in the } \Gamma_R \text{ are}$$​

​

The equivalent symmetry operations for $$S^4_6$$ and $$S_3^3$$ are, respectively,​

The compound that will show the following characteristic splitting pattern in the ¹H NMR spectrum is

For CO, the contour plot of the molecular orbital which best represents the HOMO is

The degree of polymerization at t = 10h of a polymer formed by a stepwise process with polymerization rate constant of $$3 \times 10^{-2} \, \text{M}^{-1} \, \text{s}^{-1}$$​and an initial monomer concentration of 50 mM is

Iron belongs to the BCC lattice. The Miller indices of the second allowed reflection in the powder diffraction pattern of iron would be

A gas is known to satisfy Langmuir isotherm when adsorbed on a certain metal surface. If the fractional coverage of the gas is 0.5 when the gas pressure is 1.0 Pa, the fractional coverage at 3.0 Pa would be closest to