GATE Collected papers 2005–2021 · chemistry questions

489 questions from a source that prints this span of years rather than the year of each question. Each opens with its answer and explanation.

ABC26PH0506 · the infrared spectrum of HCl gas shows an absorption band centered at 2885 cm-1. The zero point energy of HCl molecule under hamonic… · Physical Spectroscopy – General
ABC26PH0507 · The number of IR active vibrational normal modes of CO2 is ____ · Physical Spectroscopy – General
ABC26PH0509 · For a diatomic vibrating rotor, in vibrational level v = 3 and rotational level J, the sum of the rotational and vibrational energies is… · Physical Spectroscopy – General
ABC26PH0511 · The frequency (in cm-1, rounded off to two decimal places) for pure rotational line in the spectrum of NO molecule due to change in the… · Physical Spectroscopy – General
ABC26PH0512 · Assuming no interaction between vibrational and rotational energy levels in HF, the frequency (in cm-1, rounded off to the nearest integer)… · Physical Spectroscopy – General
ABC26PH0515 · Amongst the following, the metal that does NOT form homoleptic polynuclear carbonyl is · Polymer – General
ABC26PH0517 · The incorrect statement for solid sodium chloride is that · Solid State – General
ABC26PH0518 · The atomic radius (in cm) of an element with a body centered cubic unit cell of volume 75.8 cm3 mol-1, molecular weight 137.3 and density… · Solid State – General
ABC26PH0519 · The arrangement of sulphur in zinc blende and wurtzite structures, respectively, are · Solid State – General
ABC26PH0520 · The lattice parameters for a monoclinic crystal are: · Solid State – General
ABC26PH0521 · When NiO is heated with a small amount of Li2O in air at 1200°C, a non–stoichiometric compound LixNi(1x)O is formed. This compound is · Solid State – General
ABC26PH0522 · The condition for observing diffraction from the nickel surface is · Solid State – General
ABC26PH0524 · The X-ray powder pattern of NaCl shows an intense cone at theta =15.87° using X-rays of wave length 1.54×10-8 cm. The spacing between the… · Solid State – General
ABC26PH0526 · The asymmertric stretching mode of the H2O is shown below. The molecular plane is yz and the symmetry axis of H2O is z. This vibration… · Solid State – General
ABC26PH0527 · Band theory predicts that magnesium is an insulator. However, in practice it acts as a conductor due to · Solid State – General
ABC26PH0529 · For a face centered cubic lattice, the Miller indices for the first Bragg's peak (smallest Bragg angle) are · Solid State – General
ABC26PH0530 · A crystal has the lattice parameters a ≠ b ≠ c and alpha = beta = gamma = 90°. The crystal system is · Solid State – General
ABC26PH0531 · A metal crystallizes in the face – centered cubic lattice parameter of 4.20 Å. The shortest atom to atom contact distance in the lattice is · Solid State – General
ABC26PH0532 · Molybdenum crystallizes in a bcc structure with unit cell dimensions of 0.314 nm. considering the atomic mass of molybdenum to be 96, its… · Solid State – General
ABC26PH0533 · Which one of the following statements is INCORRECT? · Solid State – General
ABC26PH0534 · The distance between two successive (110) planes in a simple cubic lattice with lattice parameter 'a' is · Solid State – General
ABC26PH0535 · When crystals of sodium chloride are heated in the presence of sodium vapor, they turn yellow. This is due to the formation of · Solid State – General
ABC26PH0538 · P, F and I represent primitive, face-centered and body-centered lattices, respectively. The lattice types of NaCl and CsCl, respectively… · Solid State – General
ABC26PH0539 · The INCORRECT statement about the solid-state structure of CsCl and CaF2 is: · Solid State – General
ABC26PH0541 · Consider that AgX crystallizes in rock salt structure. The density of AgX is 6477 kg/m3 and unit cell length is 577.5 pm. Atomic weight of… · Solid State – General
ABC26PH0542 · Codes: · Statistical Thermodynamics – General
ABC26PH0543 · The vibrational partition function for a molecule with fundamental frequency nu is given by · Statistical Thermodynamics – General
ABC26PH0544 · Given that the mean speed of H2 is 1.78 km s-1, the mean speed of D2 will be · Statistical Thermodynamics – General
ABC26PH0545 · As the temperature tends to infinity, the partition function for a two-level system is · Statistical Thermodynamics – General
ABC26PH0546 · Assuming H2 and HD molecules having equal lengths, the ratio of the rotational partition functions of these molecules, at temperature above… · Statistical Thermodynamics – General
ABC26PH0547 · N non-interacting molecules are distributed among three non-degenerate energy levels varepsilon 0=0, varepsilon 1=1.38×1021 J and… · Statistical Thermodynamics – General
ABC26PH0548 · At T = 300 K, the thermal energy (kBT) in cm-1 is approximately · Statistical Thermodynamics – General
ABC26PH0549 · The total number of ways in which two nonidentical spin–1/2 particles can be oriented relative to a constant magnetic field is: · Statistical Thermodynamics – General
ABC26PH0550 · A box of volume V contains one mole of an ideal gas. The probability that all N particles will be found occupying one half of the volume… · Statistical Thermodynamics – General
ABC26PH0551 · A certain molecule can be treated as having only a doubly degenerate state lying at 360 cm-1 above the nondegenerate ground state. The… · Statistical Thermodynamics – General
ABC26PH0553 · The ratio of molecules distributed between two states is 9.22 × 106 at 300K. the difference in energy (in kJ mol-1) of the two states is… · Statistical Thermodynamics – General
ABC26PH0554 · For an ideal gas with molar mass M, the molar translational entropy at a given temperature is proportional to · Statistical Thermodynamics – General
ABC26PH0555 · The rotational partition function of a diatomic molecule with energy levels corresponding to J = 0, 1, is (where, varepsilon is a constant) · Statistical Thermodynamics – General
ABC26PH0556 · Consider a two-state system at thermal equilibrium with equal degeneracy where the excited state is higher in energy than the ground state… · Statistical Thermodynamics – General
ABC26PH0557 · Consider N particles at temperature T, pressure P, Volume V and chemical potential mu having energy E. The parameters that are kept… · Statistical Thermodynamics – General
ABC26PH0558 · Consider a two-state system at thermal equilibrium having energies 0 and 2 kB T for which the degenracies are 1 and 2, respectively. The… · Statistical Thermodynamics – General
ABC26PH0559 · Consider a system of three identical and distinguishable non-interacting particles and three available nondegenerate single particle energy… · Statistical Thermodynamics – General
ABC26PH0560 · Physisorbed particles undergo desorption at 27^ with an activation energy of 16.628 kJ mol-1. Assuming first–order process and a frequency… · Surface Chemistry – General
ABC26PH0561 · According to conventional transition state theory, for elementary bimolecular reactions, the molar entropy of activation Delta S0 is: · Surface Chemistry – General
ABC26PH0562 · At 273 K and 10 bar, the langmuir adsorption of a gas on a solid surface gave the fraction of surface coverage as 0.01. The Langmuir… · Adsorption Isotherms
ABC26PH0563 · A monoatomic gas, X, adsorbed on a surface, Langmuir adsorption isotherm. A plot of the fraction of surface coverage, theta against the… · Adsorption Isotherms
ABC26PH0567 · For low partial pressure of ozone (O3), the adsorption of ozone on graphite surface is the fully dissociative in nature and follows… · Adsorption Isotherms
ABC26PH0569 · In an adiabatic system, the work done to change its state from A to B is · Thermodynamics – General
ABC26PH0571 · Standard entropy of crystalline carbon monoxide (in J/mol) at 0 K is around · Laws State Functions
ABC26PH0572 · The plot that describes a Carnot cycle is: · Thermodynamics – General