The $pK_a$ of a weak acid is $4.8$. What should be the ratio of $[Acid]/[Salt]$ of a buffer if $pH = 5.8$ is required?

If $f(x) = \frac{1}{1+\frac{1}{x}}$ and $g(x) = \frac{1}{1+\frac{1}{f(x)}}$,then $g^{\prime}(2)$ is equal to

Which process of purification is represented by the following equation :
$Ti$ (Impure) $+ 2I_2$ $\xrightarrow{250 \ ^\circ C}$ $TiI_4$ $\xrightarrow{1400 \ ^\circ C}$ $Ti$ (Pure) $+ 2I_2$

The solution of the differential equation $\frac{dy}{dx} = \frac{y}{x} + \frac{\phi(y/x)}{\phi'(y/x)}$ is

It includes multicellular,aquatic or terrestrial,photosynthetic eukaryotic organisms.

The position vectors of $P$ and $Q$ are respectively $\overrightarrow{a}$ and $\overrightarrow{b}$. If $R$ is a point such that $\overrightarrow{PR}=5 \overrightarrow{PQ}$, then the position vector of $R$ is