On a thin layer chromatographic plate,an organic compound moved by $3.5 \ cm$,while the solvent moved by $5 \ cm$. The retardation factor of the organic compound is . . . . . . $\times 10^{-1}$.

Using the provided information in the following paper chromatogram,calculate the $R_{f}$ value of $A$ .......... $\times 10^{-1}$.

Which of the following statements are correct?
$A$. Glycerol is purified by vacuum distillation because it decomposes at its normal boiling point.
$B$. Aniline is purified by steam distillation as it is immiscible in water.
$C$. Ethanol can be separated from an ethanol-water mixture by azeotropic distillation because it forms an azeotrope.
$D$. An organic compound is pure if the mixed $M.P.$ remains the same.
Choose the most appropriate answer from the options given below:

State whether the following statements regarding fractional distillation are True or False:
$(i)$ The freezing of vapour of a liquid with a high boiling point takes place first.
$(ii)$ In the column,the more volatile liquid is present in a higher concentration in the vapour phase at higher levels.
$(iii)$ The condensed liquid flows down and provides heat to the vaporizing liquid.
$(iv)$ The liquid with the highest boiling point reaches the top of the column.

Thin layer chromatography of a mixture shows the following observation:
The correct order of elution in the silica gel column chromatography is

How do you perform the purification of the following?
$(i)$ The boiling point of liquid $X$ is $450 \ K$ and it decomposes at $400 \ K$ temperature.
$(ii)$ Mixture of $60 \% \ \text{Camphor}$ and $40 \% \ BaSO_4$.