At –20°C and 1 atm pressure, a cylinder is filled with equal number of , and HI molecules for the reaction , the for the process is

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Solution

Q.
At –20°C and 1 atm pressure, a cylinder is filled with equal number of $H_{2}$ , $I_{2}$ and HI molecules for the reaction $H_{2} (g) + I_{2} (g) ⇌ 2 HI (g)$ , the $K_{p}$ for the process is $x \times 10^{- 1}$ , $x =$ _______ . [Given : R = 0.082 L atm $K^{- 1}$ ${mol}^{- 1}$ ] [2024]

1 1

2 2

3 10

4 0.01

Ans.
(3)

$n_{HI} = n_{H_{2}} = n_{I_{2}} = x$

$H_{2} (g) + I_{2} (g) ⇌ 2 HI (g)$

$K_{p} = K_{c} = \frac{{[HI]}^{2}}{[H_{2}] [I_{2}]} = \frac{{(n_{HI} / V)}^{2}}{(n_{H_{2}} / V) (n_{I_{2}} / V)} = \frac{{(n_{HI})}^{2}}{n_{H_{2}} \times n_{I_{2}}} = \frac{{(x)}^{2}}{x \times x} = 10 \times 10^{- 1}$

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