NEET 2012
- Exam
- NEET
- Year
- 2012
- Subject
- Chemistry
- Chapter
- Chemical Equilibrium
NEET 2012 · Chemistry · Chemical Equilibrium
Given that the equilibrium constant for the reaction, 2 SO _ 2 (g)+...
Given that the equilibrium constant for the reaction,
2 \mathrm{SO}}_{2}(g)+ \mathrm{O}}_{2}(g) 2 \mathrm{SO}}_{3}(g)
has a value of 278 at a particular temperature. What is the value of the equilibrium constant for the following reaction at the same temperature?
\mathrm{SO}}_{3}(g) \rightleftharpoons \mathrm{SO}}_{2}(g)+\frac{1}{2} \mathrm{O}}_{2}(g)
Options
- A
- B
- C
- D
Correct answer
C.
Step-by-step solution
2 \mathrm{SO}}_{2}(g)+ \mathrm{O}}_{2}(g) 2 \mathrm{SO}}_{3}(g)
Equilibrium constant for this reaction,
\begin{gathered}
K=\frac{\left[\mathrm{SO}_3\right]^2}{\left[\mathrm{SO}_2\right]^2\left[\mathrm{O}_2\right]}\\
\mathrm{SO}}_{3}(g) \rightleftharpoons \mathrm{SO}}_{2}(g)+\frac{1}{2} \mathrm{O}}_{2}(g)
\end{gathered}
Equilibrium constant for this reaction,
K^{\prime}=\frac{\left[\mathrm{\text{ SO }}_2\right]\left[\mathrm{O}_2\right]^{\frac{1}{2}}}{\left[\mathrm{SO}_3\right]}On squaring Eq. (ii) both sides, we have
\left(K^{\prime}\right)^2=$$