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For the reaction,
math xmlns=http://www.w3.org/1998/Math/MathML class=wrs_chemistrymsubmi mathvariant=normalN/mimn2/mn/msubmo+/momsubmi mathvariant=normalO/mimrowmn2/mnmo(/momo /momi mathvariant=normalg/mimo)/mo/mrow/msubmo⇌/momn2/mnmsubmiNO/mimrowmo(/momi mathvariant=normalg/mimo)/mo/mrow/msub/math
the equilibrium constant is \( \mathrm{K}_{1} \). The equilibrium constant is \( \mathrm{K}_{2} \) for the reaction
\( 2 \mathrm{NO}_{(\mathrm{g})}+\mathrm{O}_{2(\mathrm{~g})} \rightleftharpoons 2 \mathrm{NO}_{2(\mathrm{~g})} \)
What is K for the reaction:
\( \mathrm{NO}_{2(\mathrm{~g})} \rightleftharpoons \frac{1}{2} \mathrm{~N}_{2(\mathrm{~g})}+\mathrm{O}_{2(\mathrm{~g})} ? \)
a. \( \frac{1}{\left(\mathrm{~K}_{1} \mathrm{~K}_{2}\right)} \)
b. \( \frac{1}{\left(2 \mathrm{~K}_{1} \mathrm{~K}_{2}\right)} \)
c. \( \frac{1}{\left(4 \mathrm{~K}_{1} \mathrm{~K}_{2}\right)} \)
d. \( \left[\frac{1}{\left(\mathrm{~K}_{1} \mathrm{~K}_{2}\right)}\right]^{\frac{1}{2}} \)
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