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

The ratio of molecules distributed between two states is $9.22\times 10^6$ at 300 K. The difference in energy (in kJ $mo{l}^{-1}$) of the two states is

A Carnot engine operates at 55% efficiency. If the temperature of reject steam is 105 °C, then the absolute temperature of input steam is___________

Of the following plots, the correct representation of chemical potential ($\mu$) against absolute temperature (T) for a pure substance is (S, l and g denote solid, liquid and gas phases, respectively)

The enthalpy of fusion of ice at 273 K is 6.01 kJ $mo{l}^{-1}$ and the enthalpy of vaporization of water at 273 K is 44.83 kJ $mo{l}^{-1}$. The enthalpy of sublimation (in kJ $mo{l}^{-1}$) of ice at 273 K, is ___________

Suppose ${\Psi }_1$ and ${\Psi }_2$, are two hybrid orbitals:

${\Psi }_1$ = 0.12${\Psi }_{3s}$ + 0.63${\Psi }_{3p_x}$ + 0.77${\Psi }_{3p_y}$

and

${\Psi }_2$ = 0.12${\Psi }_{3s}$ - 0.63${\Psi }_{3p_x}$ - ${\Psi }_{3p_y}$

The angle (in degrees) between them is _________________