JEE Advanced Mi...

For a thermodynamic system, the pressure, volume and temperature are related as  where is a positive constant. The work done for this system in a constant pressure process, if the temperature changes from T_o to 2T_o, is

One mole of a perfect gas expands isothermally to ten times its original volume.The change in entropy is :

Fe²⁺ and Fe³⁺ can be distinguished by :

Which of the following is the correct order of stability of the given compounds?

When chlorine water is added to an aqueous solution of sodium halide in the presence of chloroform, a violet colouration is obtained. When more of chlorine water is added, the violet colour disappears and solution becomes colourless. This confirms that sodium halide is :

During the dehydration of alcohols, the hydrogen is removed from the carbon atom having a lesser number of hydrogen atoms to yield the most stable alkene as a major product. Identify the most stable alkene formed during the following conversion:

A tertiary alcohol H upon acid catalysed dehydration gives a product I. Ozonolysis of I leads to compounds J and K. Compound J upon reaction with KOH gives benzyl alcohol and a compound L, whereas K on reaction with KOH gives only M.

Compound H is formed by the reaction of

If f(x) = x tan^-1x, find f'(1) from first principle.