AIPMT - 25th July 2015

The $\mathrm{pH}$ of the solution containing $50 \mathrm{mL}$ each of $0.10 \mathrm{M}$ sodium acetate and $0.01 \mathrm{M}$ acetic acid is
[Given ${\mathrm{pK}}_{\mathrm{a}}$ of ${\mathrm{CH}}_3\mathrm{COOH}=4.57$]

$3{{\mathrm{O}}_2}_{\left(\mathrm{g}\right)}\rightleftharpoons 2{{\mathrm{O}}_3}_{\left(\mathrm{g}\right)}$,

for the above reaction at $298 \mathrm{K},{ \mathrm{K}}_{\mathrm{c}}$ is found to be $3.0\times {10}^{-59}$. If the concentration of ${\mathrm{O}}_2$ at equilibrium is $0.040 \mathrm{M}$, then concentration of ${\mathrm{O}}_3$ is:

The ${\mathrm{pK}}_{\mathrm{b}}$ of dimethylamine and ${\mathrm{pK}}_{\mathrm{a}}$ of acetic acid are $3.27$and $4.77$ respectively at $\mathrm{T}\left(\mathrm{K}\right).$ The correct option for the $\mathrm{pH}$ of dimethyl ammonium acetate solution is:

Which among the following salt solutions is basic in nature?

The solubility product for a salt of the type $\mathrm{AB}$ is $4\times {10}^{-8}.$ What is the molarity of its saturated solution?

$\mathrm{HCl}$ was passed through a solution of ${\mathrm{CaCl}}_2$, ${\mathrm{MgCl}}_2$ and $\mathrm{NaCl}$. Which of the following compound(s) crystallise(s)?

Find out the solubility of $\mathrm{Ni}{\left(\mathrm{OH}\right)}_2$ in $0.1\mathrm{M} \mathrm{NaOH}$. Given that the ionic product of $\mathrm{Ni}{\left(\mathrm{OH}\right)}_2$ is $2\times {10}^{–15}$.

Hydrolysis of sucrose is given by the following reaction.
Sucrose $+{\mathrm{H}}_2\mathrm{O}\rightleftharpoons$ Glucose $+$ Fructose
If the equilibrium constant $\left({\mathrm{K}}_{\mathrm{C}}\right)$ is $2\times {10}^{13}$ at $300\mathrm{K}$, the value of ${\mathrm{\Delta }}_{\mathrm{r}}{\mathrm{G}}^{\ominus }$ at the same temperature will be: