GATE CY 2018 Question Paper (04-Feb-2018) (Shift 2)

The symmetry label of valence p orbitals of a metal ion in an octahedral ligand field is

The bond angle (Ti-C-C) in the crystal structure of

is severely distorted due to

The molar heat capacity of a substance is represented in the temperature range 298 K to 400 K by the empirical relation $C_{p,m}=14+bTJ{K}^{-1}mo{l}^{-1}$, where b is a constant. The molar enthalpy change when the substance is heated from 300 K to 350 K is $2kJmo{l}^{-1}$.The value of b is___________________$J{K}^{-2}mo{l}^{-1}$. (Up to two decimal places)

For low partial pressure of ozone ($O_3$), the adsorption of ozone on graphite surface is fully dissociative in nature, and follows Langmuir isotherm. Under these conditions, if the dependence of the surface coverage of graphite ($\theta$) on partial pressure of ozone ($P_{O_3}$) is
given by $\theta \propto (P_{O_3}{)}^x$, the value of x is _______________.(Up to two decimal places)

For the radioactive isotope ${}^{131}I$, the time required for 50% disintegration is 8 days. The time required for the 99.9% disintegration of 5.5 g of ${}^{131}I$ is ________________days. (Up to one decimal place)