Question 91. e-2x2 is an eigen function of the operator (d2/dx2 - 16 x2). The corresponding eigen value is

Question 92. 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.

Question 93. The moment of inertia of a homonuclear diatomic molecule is 7.5 * 10“45 kg m2. Its rotational
partition function at 500 K is _____________ .

Question 94. The temperature dependence of partition functions are as follows: qtranslation ∝ T3/2                            qvibration ∝ T0 qrotation ∝ T (linear molecule)     qrotation ∝ T3/2 (non-linear molecule) According to the conventional transition state theory (CTST), the temperature dependence of the Arrhenius pre-exponential factorfor a reaction of the type given below is linear molecule + linear molecule ⇆ non-linear transition state → products

Question 95. Decarbonylation reaction of [cis-(CH3CO)Mn(13CO)(CO)4] yields X,Y and Z, whereX =[(CH3)Mn(CO)5]; Y = [cis-(CH3)Mn(13CO)(CO)4]; Z = [trans-(CH3)Mn(13CO)(CO)4]The molar ratio ofthe products(X : Y : Z) in this reaction is