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Question 14.1: For a chemical reaction H2 + I2 → 2HI, Find out the equilibr......

For a chemical reaction H_2 + I_2 → 2HI, Find out the equilibrium constant at 426°C, if concentrations of H_2,  I_2, HI are respectively 0.0037 mol/L, 0.0037 mol/L and 0.0276 mol/L at equilibrium (at 426°C).
Also, find the equilibrium constant for the reverse equation.

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Given, [HI] = 0.0276  mol/L,  [H_2] = 0.0037  mol/L and [I_2] = 0.0037  mol/L.
(a)   Equilibrium constant from the mass action law is given by:

K= \frac{\left[HI\right]^2 }{\left[H_2\right]^1 \left[I_2\right]^1 } = \frac{0.0276^2}{0.0037 \times 0.0037} = 55.6

(b)   For the reverse equation:

2HI \longrightarrow H_2 + I_2
K^\prime = \frac{\left[H_2\right]^1 \left[I_2\right]^1 }{\left[HI\right] } = \frac{0.0037 \times 0.0037}{0.0276^2} = \frac{1}{55.6}

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