4.5 moles each of hydrogen and iodine is heated in a sealed ten litre vessel. At equilibrium, 3 moles of HI were found. The equilibrium constant for is ________. [2023]

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Solution

Q.
4.5 moles each of hydrogen and iodine is heated in a sealed ten litre vessel. At equilibrium, 3 moles of HI were found. The equilibrium constant for $H_{2} (g) + I_{2} (g) ⇌ 2 HI (g)$ is ________. [2023]

Ans.
(1)

$\begin{matrix} H_{2} (g) & + & I_{2} (g) & ⇌ & 2 HI (g) \\ Initial moles & 4.5 & 4.5 & 0 \\ Moles at eq. & 4.5 - 1.5 = 3 & 4.5 - 1.5 = 3 & 3 \end{matrix}$

$K_{equilibrium} = \frac{{[HI]}^{2}}{{[H_{2}]}^{1} {[I_{2}]}^{1}} = \frac{{[3]}^{2}}{3 \times 3} = 1$

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