GATE CY 2014 Question Paper (02-Feb-2014) (Shift-1)

The molecular partition function for a system in which the energy levels are equispaced by $\text{ε}$, is

A monoatomic gas, X, adsorbed on a surface, follows Langmuir adsorption isotherm. A plot of the fraction of surface coverage, $\theta$, against the concentration of the gas $[X]$, for VERY LOW concentration of the gas, is described by the equation

At a given temperature and pressure, the ratio of the average speed of hydrogen gas to that of helium gas is approximately ______________

An example of nido-borane from the following is

The geometries of $Ni(CO{)}_4$ and $[NiC{l}_4{]}^{2-}$, respectively, are