Question

A vessel of one litre capacity containing $1$ mole of $SO_3$ is heated till a state of equilibrium is attained. ${2SO3_{(g)} <=> 2SO2_{(g)} + O2_{(g)}}$ At equilibrium, $0.6 \,moles$ of $SO_2$ had formed. The value of equilibrium constant is

• A. 0.18
• B. 0.36
• C. 0.45
• D. 0.68

Answer 1

Answer: (D)

0.68

Answer 2

${2SO 3_{(g)} <=> 2SO2_{(g)} + O2_{(g)}}$ $\begin{matrix}{\text{Inital conc}}.&\rightarrow&1.0\, mole&0.0\, mole&0.0\, mole\\\ {\text{Equilibrium}} &\rightarrow&0.4 \,mole&0.6\, mole&0.3 \,mole\end{matrix}$ $\Rightarrow$ Equilibrium constant is given by : $K=\frac{\left[SO_{2}\right]^{2}\left[O_{2}\right]}{\left[SO_{3}\right]^{2}}=\frac{\left(0.6\right)^{2}\left(0.3\right)}{\left(0.4\right)^{2}}$ $=0.675 =0.68$