GATE CY 2017 Question Paper (05-Feb-2017) (Shift 1)

The dissociative chemisorption of $X_2(g)$ on a metal surface follows Langmuir adsorption isotherm. The ratio of the rate constants of the adsorption and desorption processes is $4.0{\text{ atm}}^{-1}$. The fractional surface coverage of X(adsorbed) at 1.0 atm pressure is ________ (up to two decimal places)

The ionic activity coefficients of $C{a}^{2+}$ and $F^{-}$ are 0.72 and 0.28, respectively. The mean activity coefficient of $Ca{F}_2$ is ________ (up to two decimal places)

The angle of orientation (in degrees) of the angular momentum vector with respect to z-axis for $l=2$ and $m_l=+2$ state of H-atom is ________ (up to two decimal places)

The Gibbs free energy of mixing is denoted as $\Delta G_{mix}$. 1.0 mole of He, 3.0 moles of Ne and 2.0 moles of Ar are mixed at the same pressure and temperature. Assuming ideal gas behavior, the value of $\Delta G_{mix}/RT$ is ________ (up to two decimal places)

$\Psi =[c{\varphi }_1-(1/\sqrt{3}){\varphi }_2]$ represents a normalized molecular orbital constructed from two different atomic orbitals ${\varphi }_1$ and ${\varphi }_2$ that form an orthonormal set. The value of $|c|$ is ________ (up to two decimal places)