A gas can be taken from A to B via two different paths ACB and ADB.

When path ACB is used, $60$ J of heat flows into the system and $30$ J of work is done by the system. If path ADB is used, work done by the system is $10$ J.
The heat flow into the system in path ADB is

Which of the following is a correct statement for a thermodynamic system?

A: Entropy of a perfect crystalline solid at absolute zero approaches zero.
B: For spontaneity of a reaction, $T\Delta S > \Delta H$.
Among the two statements given above, identify the correct answer from the options given below.

Given below are two statements.

Statement-I : Adiabatic work done is positive when work is done on the system and internal energy of the system increases.

Statement - II : No work is done during free expansion of an ideal gas.

In the light of the above statements, choose the correct answer from the options given below.