Isotherms of carbon dioxide at various temperatures are represented in the figure. Answer the following questions based on this figure.
$(i)$ In which state will $CO_2$ exist between the points $a$ and $b$ at temperature $T_1$?
$(ii)$ At what point will $CO_2$ start liquefying when temperature is $T_1$?
$(iii)$ At what point will $CO_2$ be completely liquefied when temperature is $T_2$?
$(iv)$ Will condensation take place when the temperature is $T_3$?
$(v)$ What portion of the isotherm at $T_1$ represents liquid and gaseous $CO_2$ at equilibrium?

(A) $(i)$ At temperature $T_1$,between points $a$ and $b$,$CO_2$ exists in the gaseous state.
$(ii)$ At point $b$,the isotherm becomes horizontal,indicating the start of the phase transition where $CO_2$ begins to liquefy.
$(iii)$ At temperature $T_2$,the $CO_2$ is completely liquefied at point $g$.
$(iv)$ Condensation will not take place at temperature $T_3$ because $T_3$ is greater than the critical temperature $(T_c)$.
$(v)$ The portion of the isotherm at $T_1$ between points $b$ and $c$ represents the equilibrium between liquid and gaseous $CO_2$.