Calculate the work done in joule if $1 \ mole$ of an ideal gas is compressed from volume $24 \ dm^3$ to $13 \ dm^3$ at a constant external pressure of $3 \ bar$. (in $J$)

Fill in the blanks:
$(i)$ The change in heat energy during a chemical reaction at constant volume is called .......
$(ii)$ During a ....... process,there is no absorption or evolution of heat.
$(iii)$ The equation $\Delta G = \Delta H - T \Delta S$ was proposed by .......

Given below are two statements $ : $
Statement $I :$ When a system containing ice in equilibrium with water $(\text{liquid})$ is heated, heat is absorbed by the system and there is no change in the temperature of the system until whole ice gets melted.
Statement $II :$ At the melting point of ice, there is absorption of heat in order to overcome intermolecular forces of attraction within the molecules of water in ice, and the kinetic energy of molecules is not increased at the melting point.
In the light of the above statements, choose the correct answer from the options given below $ : $

If $\Delta H$ is the change in enthalpy,$\Delta U$ is the change in internal energy,$N_P$ is the number of moles of products,and $N_r$ is the number of moles of reactants,then which of the following is correct for a gaseous reaction?

An ideal gas expands from $1 \times 10^{-3} \ m^{3}$ to $1 \times 10^{-2} \ m^{3}$ at $300 \ K$ against a constant external pressure of $1 \times 10^{5} \ Nm^{-2}$. The work done is:

The process,in which no heat enters or leaves the system,is termed as