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Characteristics of Equilibrium Constant

The equilibri...

Question

The equilibrium constant, $K_{c}$ for is $4 L^{2} m o l^{- 2}$ . If the equilibrium concentration of benzene is $0.5 m o l L^{- 1}$ then the concentration of acetylene in $m o l . L^{- 1}$ must be:

$3 C_{2} H_{2} (g) ⇌ C_{6} H_{6} (g)$

0.025

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0.25

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0.05

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0.5

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Solution

The correct option is C $0.5$
$K_{c} = \frac{[C_{6} H_{6}]}{[C_{2} H_{2}]^{3}}$

$4 L^{2} m o l^{- 2} = \frac{0.5 m o l / L}{[C_{2} H_{2}]^{3}}$

$[C_{2} H_{2}] = (\frac{0.5 m o l / L}{4 L^{2} m o l^{- 2}})^{1 / 3}$

$∴ [C_{2} H_{2}] = 0.5 m o l / L$

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