GATE CY 2012 Question Paper (12-Feb-2012) (Shift-2)

The molecular partition function of a system is given by
$q(T)=(\frac{k_{B}T}{hc}{)}^{\frac{3}{2}}(\frac{8{\pi }^{2}m{k}_{B}T}{h^2}{)}^{\frac{3}{2}}$, where the symbols have their usual meanings.
The heat capacity at constant volume for this system is

Consider the phase diagram given below.


At the intersection point Q the phases that are in equilibrium are

Identify the product from the following reaction

The product from the following reaction is

The acid catalyzed cyclization of 5-ketodecan-1,9-diol is given below



The most predominant spiroketal is