GATE CY 2022 Question Paper (06-Feb-2022) (Shift 2)

The pure vibrational spectrum of a hypothetical diatomic molecule shows three peaks with the following intensity at three different temperatures.The CORRECT statement is

The point group of SF₆ is

A point originally at (1, 3, 5) was subjected to a symmetry operation (Ô₁) that shifted the point to (−1, −3, 5). Subsequently, the point at (−1, −3, 5) was subjected to another symmetry operation (Ô₂) that shifted this point to (−1, −3, −5). The symmetry operators Ô1 and Ô2 are, respectively,

Adsorption of a gas with pressure P on a solid obeys the Langmuir adsorption isotherm. For a fixed fractional coverage, the correct relation between K and P at a fixed temperature is

[K = kₐ/k${}_b$, kₐ and and k${}_b$ are the rate constants for adsorption and desorption, respectively. Assume non-dissociative adsorption.]

The temperature dependence of the rate constant for a second-order chemical reaction obeys the Arrhenius equation. The SI unit of the ‘pre-exponential factor’ is