Embibe Experts Solutions for Chapter: Chemical Equilibrium, Exercise 1: TS EAMCET 2020 (28-Sep Shift-1)

${\mathrm{K}}_1, {\mathrm{K}}_2$ and ${\mathrm{K}}_3$ are the equilibrium constants for the following reactions (i), (ii) and (iii) respectively.

(i) ${\mathrm{H}}_2\left(\mathrm{g}\right)+{\mathrm{I}}_2\left(\mathrm{g}\right)\rightleftharpoons 2\mathrm{HI}\left(\mathrm{g}\right)$

(ii) $2\mathrm{HI}\left(\mathrm{g}\right)\rightleftharpoons {\mathrm{H}}_2\left(\mathrm{g}\right)+{\mathrm{I}}_2\left(\mathrm{g}\right)$

(iii) $\frac{1}{2}{\mathrm{H}}_2\left(\mathrm{g}\right)+\frac{1}{2}{\mathrm{I}}_2\left(\mathrm{g}\right)\rightleftharpoons \mathrm{HI}\left(\mathrm{g}\right)$

Choose the correct relation between ${\mathrm{K}}_1, {\mathrm{K}}_2$ and ${\mathrm{K}}_3.$

Five moles of ${\mathrm{NH}}_3\left(\mathrm{g}\right)$ in a sealed vessel, dissociates as $2{\mathrm{NH}}_3\left(\mathrm{g}\right)\rightleftharpoons {\mathrm{N}}_2\left(\mathrm{g}\right)+3{\mathrm{H}}_2\left(\mathrm{g}\right)$ Calculate the equilibrium constant, if at equilibrium, one mole of ${\mathrm{N}}_2$ is found to be present.

$4{\mathrm{NH}}_{3\left(\mathrm{g}\right)}+5{\mathrm{O}}_{2\left(\mathrm{g}\right)}\rightleftharpoons 4{\mathrm{NO}}_{\left(\mathrm{g}\right)}+6{\mathrm{H}}_2{\mathrm{O}}_{\left(\mathrm{g}\right)}$

If two moles, each of ${\mathrm{NH}}_3$ and ${\mathrm{O}}_2$ are allowed to react, and the equilibrium is attained after $50\%$ of the ${\mathrm{O}}_2$ has reacted, what is the value of the equilibrium constant $\left({\mathrm{K}}_{\mathrm{C}}\right)$?

For the following three reactions (i), (ii) and (iii), equilibrium constants are given
(i) $\mathrm{CO}\left(\mathrm{g}\right)+{\mathrm{H}}_{2}0\left(\mathrm{g}\right)\rightleftharpoons {\mathrm{CO}}_2\left(\mathrm{g}\right)+{\mathrm{H}}_2\left(\mathrm{g}\right); {\mathrm{K}}_1$
(ii) ${\mathrm{CH}}_4\left(\mathrm{g}\right)+{\mathrm{H}}_2\mathrm{O}\left(\mathrm{g}\right)\rightleftharpoons \mathrm{CO}\left(\mathrm{g}\right)+3{\mathrm{H}}_2\left(\mathrm{g}\right); {\mathrm{K}}_2$
(iii) ${\mathrm{CH}}_4\left(\mathrm{g}\right)+2{\mathrm{H}}_{2}0\left(\mathrm{g}\right)\rightleftharpoons {\mathrm{CO}}_2\left(\mathrm{g}\right)+4{\mathrm{H}}_2\left(\mathrm{g}\right); {\mathrm{K}}_3$
Which of the following relations is correct?

The reaction $2{\mathrm{SO}}_2\left(\mathrm{g}\right)+{\mathrm{O}}_2\left(\mathrm{g}\right)\rightleftharpoons 2{\mathrm{SO}}_3\left(\mathrm{g}\right)$ was carried out in a closed vessel of $1 \mathrm{L}$ capacity at a suitable temperature (initial concentrations of ${\mathrm{SO}}_2$ and ${\mathrm{O}}_2$ are 2 and $1$ moles $\mathrm{L}$ respectively). At equilibrium, $1.6$ moles of ${\mathrm{SO}}_3\left(\mathrm{g}\right)$ was found. The value of ${\mathrm{K}}_{\mathrm{c}}$ at the same temperature is

For the following reaction, ${\mathrm{K}}_{\mathrm{c}}=2\times {10}^{-3}$

$2 \mathrm{A}\rightleftharpoons \mathrm{B}+\mathrm{C}$

Identify the correct statement for the reaction when $\left[\mathrm{A}\right]=\left[\mathrm{B}\right]=\left[\mathrm{C}\right]=3\times {10}^{-4} \mathrm{M}$