Explain the liquefaction of real gases and permanent gases.

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(N/A) Liquefaction of Real Gases: All real gases,upon isothermal compression,exhibit behavior similar to $CO_2$. To liquefy a gas,it must be cooled below its critical temperature $(T_c)$. The critical temperature is defined as the highest temperature at which a gas can be liquefied by pressure alone.
Liquefaction of Permanent Gases: Permanent gases (gases that show continuous positive deviation in the compressibility factor $Z$) require both significant cooling and high compression. Compression brings molecules into close proximity,while cooling reduces their kinetic energy. Consequently,intermolecular forces become strong enough to hold the molecules together,leading to liquefaction.

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The isotherms of a gas are shown below:
Among the following:
$(i)$ At $T_1$,the gas cannot be liquefied.
$(ii)$ At point $B$,liquid starts to appear at $T_2$.
$(iii)$ $T_c$ is the highest temperature at which the gas can be liquefied.
$(iv)$ At point $A$,a small increase in pressure condenses the whole system to a liquid.
The correct statements are:

What is the Andrews isotherm graph used for?

$A$ liquid can exist only,

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$(i)$ 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 $T_1$?
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$(v)$ What portion of the isotherm at $T_1$ represents liquid and gaseous $CO_2$ at equilibrium?

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Liquefaction of a gas can occur $....................$

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