Which of the following is an extensive property?

Fill in the blanks given below:
$(i)$ $A$ system in which the exchange of energy between the system and the surroundings is possible but the exchange of matter is not possible is called a .......
$(ii)$ The total amount of energy, which is the sum of the internal energy of the substance and the product of its pressure and volume, is called .......
$(iii)$ The change in energy that occurs when a chemical reaction is carried out at constant pressure is called .......
$(iv)$ The process of attaining thermal equilibrium between any two heat-conducting substances is known as the ....... law of thermodynamics.

$A$ state function is .......

For $1 \text{ mole}$ of an ideal gas expanding isothermally from $1 \text{ L}$ to $10 \text{ L}$ at $300 \text{ K}$,the value of $\Delta U$ is: $(R = 2 \text{ cal mol}^{-1} \text{ K}^{-1})$

Five moles of an ideal gas at $1 \ bar$ and $298 \ K$ is expanded into vacuum to double the volume. The work done is :-

Assume each reaction is carried out in an open container. For which reaction will $\Delta H = \Delta E$ ?