$t=t_{e q}(1-\alpha) \quad \alpha \quad \frac{\alpha}{2}$
$\mathrm{P}_{\mathrm{B}}=\frac{\alpha}{\left(1+\frac{\alpha}{2}\right)} . \mathrm{P}, \mathrm{P}_{\mathrm{A}}=\frac{(1-\alpha)}{\left(1+\frac{\alpha}{2}\right)} \cdot \mathrm{P}, \mathrm{P}_{\mathrm{C}}=\frac{\frac{\alpha}{2}}{\left(1+\frac{\alpha}{2}\right)} \cdot \mathrm{P}$
$K_P=\frac{P_B \cdot P_C^{\frac{1}{2}}}{P_A}$
$=\frac{(\alpha)^{\frac{3}{2}}(P)^{\frac{1}{2}}}{(1-\alpha)(2+\alpha)^{\frac{1}{2}}}$
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(IMAGE)
$[A]$ ( $M$ and $O)$ and ( $N$ and $P$ ) are two pairs of diastereomers
$[B]$ Bromination proceeds through trans-addition in both the reactions
$[C]$ $O$ and $P$ are identical molecules
$[D]$ (M and $O)$ and ( $N$ and $P)$ are two pairs of enantiomers
| Column $I$ | Column $II$ |
| $(A)$ Freezing of water at $273 K$ and $1 \ atm$ | $(P)$ $q =0$ |
| $(B)$ Expansion of $1 \ mol$ of an ideal gas into a vacuum under isolated conditions | $(Q)$ $w=0$ |
| $(C)$ Mixing of equal volumes of two ideal gases at constant temperature and pressure in an isolated container | $(R)$ $\Delta S _{\text {sy5 }} < 0$ |
| $(D)$ Reversible heating of $H _2( g )$ at $1 \ atm$ from $300 \ K$ to $600 \ K$, followed by reversible cooling to $300 \ K$ at $1 \ atm$ | $(S)$ $\Delta U =0$ |
| $(T)$ $\Delta G =0$ |
