Question : If the equilibrium constants for the systems H2 + I2 < = > 2HI and 2HI < = > H2 + I2 are K1 and K2 respectively, the relationship between K1 and K2 is :
Option 1: K1 = K2
Option 2: K1 = 2K2
Option 3: K1 = K2 /2
Option 4: K1 = 1/K2
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Correct Answer: K 1 = 1/K 2
Solution : The correct option is K 1 = 1/K 2 .
For the chemical reactions: H 2 + I 2 ⇌ 2HI and 2HI ⇌ H 2 + I 2
The equilibrium constants are given as K 1 and K 2 , respectively. When a reaction is reversed, the equilibrium constant becomes the reciprocal of the original constant. Mathematically, this relationship is expressed as follows: K 1 = 1/K 2 . So, the relationship between K 1 and K 2 for the given reactions is that K 2 is the reciprocal of K 1 .
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