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Characteristics of Equilibrium Constant

In the equili...

Question

In the equilibrium, ${S O}_{2} {C l}_{2} ⇌ {S O}_{2} + {C l}_{2}$ at $2000 K$ , the total pressure is $10 a t m$ , and % ${C l}_{2} =$ % ${S O}_{2} = 40$ by volume. Then:

A

K_{p} = 2

atm

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B

\frac{n ({S O}_{2} {C l}_{2})}{n ({S O}_{2})} = \frac{1}{4}

at equilibrium

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C

K_{p} = 8

atm

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D

n ({S O}_{2} {C l}_{2}) = n ({S O}_{2}) = n ({C l}_{2})

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Solution

The correct option is D $K_{p} = 8$ atm
$S O_{2} C l_{2} ⇌ S O_{3} + C l_{2}$
Let the initial percentage of $S O_{2} C l_{2} = 100$
Thus, $S O_{2} C l_{2} ⇌ S O_{2} + C l_{2}$
$I n i t i a l l y \div 10000$
$E q u i l i b r i u m \div 100 - 40 - 40 + 40 + 40$
$204040$
$2 a t m 4 a t m 4 a t m$
$K_{p} = \frac{[c l_{2}] [S O_{2}]}{[S O_{2} C l_{2}]} = \frac{4 \times 4}{2} = 8 a t m$

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