GATE Collected papers 2005–2021 · chemistry questions

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

ABC26PH0302 · Two trial wavefunction phi =c1 x(a-x) and phi 2=c1 x(a-x)+c2 x2(a-x)2 give ground state energies E1 and E2, respectively, for the… · Atomic Structure – General
ABC26PH0303 · The ground state energies of H atom and H2 molecule -13.6 eV and -31.7 eV, respectively. The dissociation energy of H2 is ____ eV. · Atomic Structure – General
ABC26PH0304 · e^-2 x2 is an eigen function on the operator (d2/dx2-16 x2). The corresponding eigen value is · Atomic Structure – General
ABC26PH0305 · The value of the magnetic quantum number of a px orbital is · Atomic Structure – General
ABC26PH0306 · Suppose psi 1 and psi 2, are two hybrid orbitals: psi 1=0.12 psi 3s+0.63 psi 3px+0.77 psi 3py and psi 2=0.12 psi 3s-0.63 psi 3px-0.77 psi… · Atomic Structure – General
ABC26PH0307 · When the operator, -ħ2 d2 / dx2, operates on the function e-kx, the result is · Atomic Structure – General
ABC26PH0308 · (being typed) · Atomic Structure – General
ABC26PH0309 · The difference in the ground state energies (kJ/mol) of an electron in one-dimensional boxes of lengths 0.2 nm and 2 nm is ____. · Atomic Structure – General
ABC26PH0310 · The linear momentum of a particle described by the wavefunction e-ikx is · Atomic Structure – General
ABC26PH0311 · The experimental ionization energies of hydrogen and helium atoms in their ground states are, respectively, 13.6 eV and 24.6 eV. The ground… · Atomic Structure – General
ABC26PH0312 · A system is described by the following real wavefunction. The probability (P) of finding the particle in a region dx around points I, II… · Atomic Structure – General
ABC26PH0313 · For ortho-hydrogen, the nuclear wavefunction and the rotational quantum number, respectively, are · Atomic Structure – General
ABC26PH0314 · The wavelength associated with a particle in one - dimensional box of length L is (n referes to the quantum number) · Atomic Structure – General
ABC26PH0315 · The lowest energy of a quantum mechanical one-dimensional simple harmonic oscillator is 300 cm-1. The energy (in cm-1) of the next higher… · Atomic Structure – General
ABC26PH0316 · Assume 1,3,5-hexatriene to be a linear molecule and model the pi electrons as particles in a one-dimensional box of length 0.70 nm. The… · Atomic Structure – General
ABC26PH0317 · The angle of orientation (in degrees) of the angular momentum vector with respect to z-axis for l=2 and m=+2 state of H-atom is ____ (up to… · Atomic Structure – General
ABC26PH0318 · Psi = [c phi 1-(1-√(3)) phi 2] represents a normalized molecular orbital constructed from two different atomic orbitals phi 1 and phi 2… · Atomic Structure – General
ABC26PH0319 · The spherical harmonic function Y, m(theta, phi) with appropriate values of and m, is an eigenfunction of Lx2+Ly2 operator. The… · Atomic Structure – General
ABC26PH0320 · Consider the operators, a+=1/(√(2)) (x+ipx) and a-=1/(√(2)) (x-ipx), where x and px are the position and linear momentum operators… · Atomic Structure – General
ABC26PH0321 · The enrgy of a hydrogen molecule in its ground state equilbrium configuration is -31.7 eV. Its dissociation energy is ____ eV(Upto one… · Atomic Structure – General
ABC26PH0322 · In a molecule XY, let psi X and psi Y denote normalized atomic orbitals of atoms X and Y, respectively. A normalized molecular orbital of… · Atomic Structure – General
ABC26PH0323 · At temperature T, the canonical partition function of a harmonic oscillator with fundamental frequency (v) is given by qvib(T) e^-hv / 2 kB… · Atomic Structure – General
ABC26PH0324 · A one-dimensional anharmonic oscillator is treated by perturbation theory. The harmonic oscillator is used as the unperturbed system and… · Atomic Structure – General
ABC26PH0325 · The pi electrons in benzene can be modelled as particles in a ring that follow Pauli's exclusion principle. Given that the radius of… · Atomic Structure – General
ABC26PH0326 · Suppose the wave function of a one dimensional system is psi =sin (kx) exp (3 ikx) In an experiment measuring the momentum of the system… · Atomic Structure – General
ABC26PH0327 · A particle in one dimensional box of length 2a with potential energy V= 0 |x| a is perturbed by the potential V'=cx eV, where c is a… · Atomic Structure – General
ABC26PH0328 · If alpha | Sx Sy-Sy Sx| alpha =i ħ2 a, where Sx and Sy are spin angular momentum operators and | alpha is spin up eigen function, then the… · Atomic Structure – General
ABC26PH0329 · Consider a two dimensional harmonic oscillator with angular frequency omega x=2 omega y=6.5 × 1014 rad s-1. The wavelength of x polarized… · Atomic Structure – General
ABC26PH0330 · Among the following linear combination of atomic orbitals, the CORRECT representation of the lowest unoccupied pi -molecular orbital of… · Atomic Structure – General
ABC26PH0331 · The hydrogen-like radial wave function of the 3s orbital is given as R3,0=1/(9√(3)) (Z/a0)3/2 (6-2 rho +rho 2/9) e- rho /6 where rho… · Atomic Structure – General
ABC26PH0332 · The% error (rounded off to two decimal places) in the ground state energy of a particle in a one dimensional box of length 'a' described by… · Atomic Structure – General
ABC26PH0333 · The de Broglie wavelength of an argon atom (mass =40 amu) traveling at a speed of 250 m s-1 (rounded off to one decmial place) is ____… · Atomic Structure – General
ABC26PH0334 · Acceptable wavefunction for a quantum particle must be; · Atomic Structure – General
ABC26PH0335 · (being typed) · Atomic Structure – General
ABC26PH0336 · 62(0.95) 63(a) 64. (lambda =212.1 nm) 65. (=3 ħ k) 66. (0) · Atomic Structure – General
ABC26PH0337 · 67. (0.5) 68. (lambda =2.9 × 10-6 m) 69. (a) 70. (c) 71. (1.32) 72. (=40 pm) · Atomic Structure – General
ABC26PH0338 · Which of the following statements is NOT correct for a catalyst? · Chemical Kinetics – General
ABC26PH0339 · The value of the rate constant for the gas phase reaction 2 NO2+F2 → 2 NO2 F is 38 dm3 mol-1 s-1 at 300 K. The order of the reaction is · Chemical Kinetics – General
ABC26PH0340 · For the reaction P+Q+R → S, experimental data for the measured initial rates is given below. The order of the reaction with respect to P, Q… · Chemical Kinetics – General
ABC26PH0341 · Sucrose is converted to a mixture of glucose and fructose in a pseudo first order process under alkaline condi tions. The reaction has a… · Chemical Kinetics – General
ABC26PH0342 · The reaction, 2NO(g)+O2(g) → 2NO2(g) proceeds via the following steps NO+NO ka N2O2 N2O2 ka' NO+NO N2O2+O2 kb NO2+NO2 The rate of this… · Chemical Kinetics – General
ABC26PH0343 · The rate constant of two reactions as temperature T are k1(T) and k2(T) and the corresponding activation energies are E1 and E2 with E2>E1… · Chemical Kinetics – General
ABC26PH0344 · For the reaction 2 X3=3 X2, the rate of formation of X2 is: · Chemical Kinetics – General
ABC26PH0345 · In a homogeneous catalytic reaction, 1.0 M of a substrate and 1.0 mu M of a catalyst yields 1.0 mM of a product in 10 seconds. The turnover… · Chemical Kinetics – General
ABC26PH0346 · For the reaction given below, the relaxation time is 10-6 s. Given that 10% of A remains at equilibrium, the value of k1 (s-1) is A k-1k1⇌ B · Chemical Kinetics – General
ABC26PH0347 · The mechanism of enzyme (E) catalysed reaction of a substrate (S) to yield product (P) is: E+S k2k1⇌[ES] k-2k2⇌ E+P; (-d[S])/dt=(k1… · Chemical Kinetics – General
ABC26PH0348 · For the parallel first order reaction shown below the value of k 1 is 1 × 10-4 s-1. If the reaction starts from X, the ratio of the… · Chemical Kinetics – General
ABC26PH0349 · The half-life (t1 / 2) for the hydrolysis of an ester varies with the initial concentration of the reactant ([E]0) as follows: The oder of… · Chemical Kinetics – General
ABC26PH0350 · The fluorescene lifetime of a molecule in solution is 10 ns. If the flurosence quantum yield is 0.1, the rate constant of fluroscene decay… · Photochemistry – General
ABC26PH0351 · The overall rate constant (koverall) for the formation of P can be expressed as · Chemical Kinetics – General