GATE CY 2017 question paper — Paper 1

Consider particles at temperature , pressure , volume and chemical potential having energy . The parameters that are kept constant for a canonical ensemble are

For ortho -hydrogen, the nuclear wavefunction and the rotational quantum number, respectively, are

m₁ and m₂ are the slopes (dP/dT) of the solid-liquid equilibrium lines in the P-T phase diagrams of H₂O and CO₂, respectively. For P < 10 atm, the values of m₁ and m₂ are

The rate constant of a reaction is 1.25 × 10⁻⁴ mol L⁻¹ s⁻¹. If the initial concentration of the reactant is 0.250 mol L⁻¹, the total time (in seconds) required for compl…

Consider an ideal gas of volume at temperature and pressure . If the entropy of the gas is , the partial derivative is equal to

The wavelength associated with a particle in one-dimensional box of length is ( refers to the quantum number)

The dependence of rate constant on temperature (in K) of a reaction is given by the expression The activation energy of the reaction (in kJ mol ) is (up to two decimal p…

The lowest energy of a quantum mechanical one-dimensional simple harmonic oscillator is 300 cm . The energy (in cm ) of the next higher level is

The electronic ground state term for the chromium ion in [Cr(CN) ] is

The VO , CrO and MnO ions exhibit intense ligand to metal charge transfer transition. The wavelengths of this transition follow the order

The lanthanide ion that exhibits color in aqueous solution is

The hapticity of cycloheptatriene, (C H ), in Mo(C H )(CO) is