Embibe Experts Solutions for Chapter: Chemical Equilibrium, Exercise 1: AP EAPCET Medical 2021 (6-Sep Forenoon)

If the equilibrium constant for the reaction, conducted in a closed vessel, $2{\mathrm{CO}}_{\left(\mathrm{g}\right)}+{{\mathrm{O}}_2}_{\left(\mathrm{g}\right)}$ $\rightleftharpoons 2{{\mathrm{CO}}_2}_{\left(\mathrm{g}\right)}$ is $\text{'}\mathrm{K}\text{'},$ then find the equilibrium constant for the reaction ${\mathrm{CO}}_{\left(\mathrm{g}\right)}+\frac{1}{2}{\mathrm{O}}_{2\left(\mathrm{g}\right)}\rightleftharpoons {{\mathrm{CO}}_2}_{\left(\mathrm{g}\right)}.$

Consider the following reactions in which all the reactants and products are in the gaseous state

$2\mathrm{PQ}\rightleftharpoons {\mathrm{P}}_2+{\mathrm{Q}}_2 {\mathrm{K}}_1=2.5\times {10}^5$

$\mathrm{PQ}+\frac{1}{2}{\mathrm{R}}_2\rightleftharpoons \mathrm{PQR} {\mathrm{K}}_2=5\times {10}^{-3}$

The value of ${\mathrm{K}}_3$ for the equilibrium $\frac{1}{2}{\mathrm{P}}_2+\frac{1}{2}{\mathrm{Q}}_2+\frac{1}{2}{\mathrm{R}}_2\rightleftharpoons \mathrm{PQR}$equals:-

For the reaction

${\mathrm{H}}_{2\left(\mathrm{g}\right)}+{\mathrm{CO}}_{2\left(\mathrm{g}\right)}\rightleftharpoons {\mathrm{CO}}_{\left(\mathrm{g}\right)}+{\mathrm{H}}_2{\mathrm{O}}_{\left(\mathrm{g}\right)},$ if the initial concentration of $\left[{\mathrm{H}}_2\right]=\left[{\mathrm{CO}}_2\right] = 1\mathrm{M}$ and $\mathrm{x}$ moles$/\mathrm{L}$ of ${\mathrm{H}}_2$ is consumed at equilibrium, the correct expression of ${\mathrm{K}}_{\mathrm{P}}$ is.

At $\mathrm{T}\left(\mathrm{K}\right)$, for the gaseous reaction
$2 \mathrm{A}\rightleftharpoons \mathrm{B}+\mathrm{C},{\mathrm{K}}_{\mathrm{C}}$ is $2\times {10}^{-3}$

at a given time the composition of reaction mixture is $\left[\mathrm{A}\right]=\left[\mathrm{B}\right]=\left[\mathrm{C}\right]=3.0\times {10}^{-4}\mathrm{M},$the state of the reaction is

For the reaction ${{\mathrm{H}}_2}_{\left(\mathrm{g}\right)}+{{\mathrm{Br}}_2}_{\left(\mathrm{g}\right)}\rightleftharpoons 2{\mathrm{HBr}}_{\left(\mathrm{g}\right)},$ the concentrations of ${\mathrm{H}}_2, {\mathrm{Br}}_2$ and $\mathrm{HBr}$ at equilibrium are found to be $3.5\times {10}^{-3} \mathrm{M}, 4.7\times {10}^{-3} \mathrm{M}$ and $3.3\times {10}^{-3} \mathrm{M}.$ If the reaction takes place in a sealed vessel at $600°\mathrm{C},$ then find the value of its ${\mathrm{K}}_{\mathrm{c}}$

When some helium gas is added, at constant pressure, to an equilibrium mixture of $2{\mathrm{SO}}_{2\left(\mathrm{g}\right)}+{\mathrm{O}}_{2\left(\mathrm{g}\right)}\rightleftharpoons 2{\mathrm{SO}}_{3\left(\mathrm{g}\right)},$ which of the following conditions will occur ?

If the value of ${\mathrm{K}}_{\mathrm{p}}$ for the reaction $\frac{1}{2}{\mathrm{N}}_2+\frac{3}{2}{\mathrm{H}}_2\rightleftharpoons 2{\mathrm{NH}}_3$ is found to be $100 \mathrm{atm}$, calculate $\mathrm{\Delta G}°$ at $298 \mathrm{K}$.

If the value of $\Delta \mathrm{G}°$ for the equilibrium reaction at $300 \mathrm{K}$ is $57.44 \mathrm{kJ} {\mathrm{mol}}^{-1}$, the equilibrium constant ${\mathrm{K}}_{\mathrm{c}}$ is: