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Question: Equilibrium constants \(K _ { 1 }\)and \(K _ { 2 }\)for the following equilibria <img src="https://...

Equilibrium constants K1K _ { 1 }and K2K _ { 2 }for the following equilibria

NO2( g)\mathrm { NO } _ { 2 } ( \mathrm {~g} )and

are related as.

A

K2=1K1K _ { 2 } = \frac { 1 } { K _ { 1 } }

B

K2=K12K _ { 2 } = K _ { 1 } ^ { 2 }

C

K2=K12K _ { 2 } = \frac { K _ { 1 } } { 2 }

D

K2=1K12K _ { 2 } = \frac { 1 } { K _ { 1 } ^ { 2 } }

Answer

K2=1K12K _ { 2 } = \frac { 1 } { K _ { 1 } ^ { 2 } }

Explanation

Solution

K1=[NO2][NO][O2]1/2\mathrm { K } _ { 1 } = \frac { \left[ \mathrm { NO } _ { 2 } \right] } { [ \mathrm { NO } ] \left[ \mathrm { O } _ { 2 } \right] ^ { 1 / 2 } };

\Rightarrow\Rightarrow

\Rightarrow K1=1K2K _ { 1 } = \frac { 1 } { \sqrt { K _ { 2 } } }; K2=1K12K _ { 2 } = \frac { 1 } { K _ { 1 } ^ { 2 } }.