Equilibrium Question 801

Question: One mole of $ O_2(g) $ and two moles of $ SO_2(g) $ were heated in a closed vessel of one-litre capacity at 1098 K. At equilibrium 1.6 moles of $ SO_3( g ) $ were found. The equilibrium constant $ K_{c} $ of the reaction would be

Options:

A) 30

B) 40

C) 80

D) 60

Show Answer

Answer:

Correct Answer: C

Solution:

$ \begin{aligned} & \begin{matrix} {} & {} & & O_2+2SO_2\rightarrow 2SO_3 \\ \end{matrix} \\ & \begin{matrix} at,t=0 & {} & 1 & {} \\ \end{matrix},\begin{matrix} 2 & {} & {} & 0 \\ \end{matrix} \\ & \begin{matrix} at,equil\text{.} & (1-\alpha ) & 2(1-\alpha ) & 2\alpha \\ \end{matrix} \\ \end{aligned} $ Given at equilibrium $ 2\alpha =1.6 $

$ \alpha =0.8 $

$ K_{C}=\frac{{{(2\alpha )}^{2}}}{(1-\alpha ){{(2-2\alpha )}^{2}}}=\frac{{{(0.8)}^{2}}}{(1-0.8){{(1-0.8)}^{2}}} $

$ =\frac{0.64}{0.008} $

$ K_{C}=80 $



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