Which of the following expression is true for the system 2SO2( g)+O2( g)⇔2SO3( g)?

# Which of the following expression is true for the system ?

1. A

${\mathrm{K}}_{\mathrm{p}}{\left({\mathrm{K}}_{\mathrm{c}}\right)}^{-1}<1$

2. B

${\mathrm{K}}_{\mathrm{p}}{\left({\mathrm{K}}_{\mathrm{c}}\right)}^{-1}>1$

3. C

${\mathrm{K}}_{\mathrm{p}}{\left({\mathrm{K}}_{\mathrm{c}}\right)}^{-1}=1$

4. D

${\mathrm{K}}_{\mathrm{p}}={\mathrm{K}}_{\mathrm{c}}$

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### Solution:

For the above reaction, ${\mathrm{K}}_{\mathrm{C}}=\frac{\left[{\mathrm{SO}}_{3}{\right]}^{2}}{\left[{\mathrm{SO}}_{2}{\right]}^{2}\left[{\mathrm{O}}_{2}\right]}$ and ${\mathrm{K}}_{\mathrm{P}}=\frac{\left[{\mathrm{P}}_{{\mathrm{SO}}_{3}^{2}}\right]}{\left[{\mathrm{P}}_{{{\mathrm{SO}}_{2}}^{2}}\right]\left[{\mathrm{P}}_{{\mathrm{O}}_{2}}\right]}$

$∆\mathrm{n}=2-3=-1$ so  Kp < Kc

${\mathrm{K}}_{\mathrm{p}}{\left({\mathrm{K}}_{\mathrm{c}}\right)}^{-1}<1$

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