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Question

Consider the two gaseous equilibria involving SO2 and the corresponding equilibrium constants at 298 K:
SO2(g)+12O2(g)SO3(g);K1
2SO3(g)2SO2(g)+O2(g);K2
The values of the equilibrium constants are related by:

A
K1=K2
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B
K2=K21
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C
K2=1K21
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D
K2=1K1
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Solution

The correct option is D K2=1K21
The first reaction is multiplied by 2 and reversed to obtain the second reaction. Hence, the value of the equilibrium constant is equal to the reciprocal of the square of the value of the equilibrium constant of the first reaction.
Hence, K2=1K21
K1=[SO3][SO2][O2]12
K2=[SO2]2[O2][SO3]2=1K21.

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