At $290 \ K$,a vessel $(I)$ contains equal moles of three liquids $(A, B, C)$. The boiling points of $A, B$ and $C$ are $350 \ K, 373 \ K$ and $308 \ K$ respectively. Vessel $(I)$ is heated to $300 \ K$ and vapours were collected into vessel $(II)$. Identify the correct statements. (Assume vessel $(I)$ contains liquids and vapours and vessel $(II)$ contains only vapours)
$I.$ Vessel $- I$ is rich in liquid $B$
$II.$ Vessel $- II$ is rich in vapour of $C$
$III.$ The vapour pressures of $A, B, C$ in Vessel $(I)$ at $290 \ K$ follows the order $C > A > B$.

• A
  $I, II, III$
• B
  $I, II$ only
• C
  $I, III$ only
• D
  $II, III$ only