GATE CY 2013 Question Paper (20-Jan-2013) (Shift 2)

The point group symmetry of $C{H}_2=C=C{H}_2$ is

Two trial wave functions ${\varphi }_1=c_{1}x(a-x)$ and ${\varphi }_2=c_{1}x(a-x)+c_2{x}^2(a\text{–}x{)}^2$ give ground state energies $E_1$ and $E_2$, respectively, for themicroscopic particle in a 1-D boxby using the variation method. If the exact ground state energy is $E_0$, the correct relationship between $E_0$, $E_1$ and $E_2$ is

The ground state energies of H atom and $H_2$ molecule are -13.6 eV and -31.7 eV, respectively. The dissociation energy of $H_2$ is ________ eV.

A 2 L vessel containing 2 g of $H_2$ gas at 27 °C is connected to a 2 L vessel containing 176 g of $C{O}_2$ gas at 27 °C. Assuming ideal behavior of $H_2$ and $C{O}_2$, the partial pressure of $H_2$ at equilibrium is ________ bar.

Consider the reaction $2C(s)+O_2(g)\rightleftharpoons 2CO(g)$ at equilibrium.
The equilibrium can be shifted towards the forward direction by