Embibe Experts Solutions for Chapter: Equilibrium, Exercise 1: COMEDK UGET 2014

One mole of ${\mathrm{PCL}}_5$ is heated in a closed $2 {\mathrm{dm}}^3$ vessel. At equilibrium $40\% {\mathrm{PCl}}_5$ is dissociated. Calculate the equilibrium constant

In which of the following case, does the reaction go fartiest to completion if

${\mathrm{\Delta G}}^{\mathrm{\theta }}$ for the conversion of ${\mathrm{O}}_2$ to ozone ${\mathrm{O}}_2( \mathrm{g})\to {\mathrm{O}}_3( \mathrm{g})$ at $298 \mathrm{K}$ is ($\mathrm{KP}$ for this conversion is $1\times {10}^{-29}$)

Which of the following equations give ionic product of water?

(i) ${\mathrm{NH}}_{3\left(\mathrm{aq}\right)}+{\mathrm{H}}_2\mathrm{O}\leftrightarrows {\mathrm{NH}}_{4\left(\mathrm{aq}\right)}^{+}+{\mathrm{OH}}_{\left(\mathrm{aq}\right)}^{-}$

(ii) ${\mathrm{NH}}_{4\left(\mathrm{aq}\right)}^{+}+{\mathrm{H}}_2\mathrm{O}\leftrightarrows {\mathrm{H}}_3{\mathrm{O}}^{+}+{\mathrm{NH}}_{3\left(\mathrm{aq}\right)}$

(iii) ${\mathrm{NH}}_{2\left(\mathrm{aq}\right)}^{-}+{\mathrm{H}}_2\mathrm{O}\leftrightarrows {\mathrm{NH}}_{3\left(\mathrm{aq}\right)}+{\mathrm{OH}}^{-}$

(iv) ${\mathrm{NH}}_{3\left(\mathrm{aq}\right)}+{\mathrm{OH}}_{\left(\mathrm{aq}\right)}^{-}\leftrightarrows {\mathrm{NH}}_{2\left(\mathrm{aq}\right)}^{-}+{\mathrm{H}}_2\mathrm{O}$

The number of ${\mathrm{H}}^{+}$ ions present in $1 \mathrm{mL}$ of a solution whose $\mathrm{pH}$ is $13$