Question 23M.1.HL.TZ1.22

This reaction has an equilibrium constant K_c = 650 at a certain temperature.

NO₂ (g) + SO₂ (g) ⇌ NO + SO₃ (g)

What is the equilibrium constant for the following reaction at the same temperature?

$\frac{1}{2}\mathrm{NO}\hspace{0.17em}\left(\mathrm{g}\right)+\frac{1}{2}{\mathrm{SO}}_3\hspace{0.17em}\left(\mathrm{g}\right)\rightleftharpoons \frac{1}{2}{\mathrm{NO}}_2\hspace{0.17em}\left(\mathrm{g}\right)+\frac{1}{2}{\mathrm{SO}}_2\hspace{0.17em}\left(\mathrm{g}\right)$

A.  $\sqrt{650}$

B.  $\frac{1}{650}$

C.  $\frac{1}{\sqrt{650}}$

D.  $\frac{1}{2}\times 650$