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

The change in enthalpy when 3 mol of liquid benzene transforms to the vapor state at its boiling temperature ($80°C$) and at 1 bar pressure is ________ kJ.

The moment of inertia of a homonuclear diatomic molecule is $7.5\times 10^{-45}{\text{ kg m}}^2$. Its rotational partition function at 500 K is ________.

For a reaction of the type , the correct rate expression is
$([X{]}_{0}and[X]$ correspond to the concentrations of X at time t=0 and t = t, respectively)

The temperature dependence of partition functions are as follows:

$q_{translation}\propto T^{3/2}$ $q_{vibration}\propto T^0$
$q_{rotation}\propto T$ (linear molecule) $q_{rotation}\propto T^{3/2}$ (non-linear molecule)

According to the conventional transition state theory (CTST), the temperature dependence of the Arrhenius pre-exponential factor for a reaction of the type given below is

linear molecule + linear molecule $\rightleftharpoons$ non-linear transition state $\to$ products

Decarbonylation reaction of $[cis-(C{H}_{3}CO)Mn{(}^{13}CO)(CO{)}_4]$ yields X,Y and Z, where $X=[(C{H}_3)Mn(CO{)}_5]$; $Y=[cis-(C{H}_3)Mn{(}^{13}CO)(CO{)}_4]$; $Z=[trans-(C{H}_3)Mn{(}^{13}CO)(CO{)}_4]$

The molar ratio of the products(X : Y : Z) in this reaction is