Phosphorus pentachloride decomposes according to the chemical equation PCl5(g) ïƒŸ-ïƒ PCl3(g) + Cl2(g) A 0.213 mol...

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Phosphorus pentachloride decomposes according to the chemicalequation PCl5(g) ïƒŸ-ïƒ PCl3(g) + Cl2(g) A 0.213 mol sample of PCl5(g)is injected into an empty 3.40 L reaction vessel held at 250degrees C. Calculate the concentrations of PCl5(g) and PCl3(g) atequilibrium.

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4.1 Ratings (472 Votes)

PCl5(g)Â Â <-----------------> PCl3(g) + Cl2(g)

Î”G^o_rxn = Î”G^o_products - Î”G^o_reactants

_{Â Â Â Â Â Â Â Â Â Â Â Â Â Â} = (- 267.8 + 0) - (-305.0)

Â Â Â Â Â Â Â Â Â Â = 37.2 kJ/mol

Î”G^o = - R T ln K

37.2 = - 8.314x 10^-3 x 523 x ln K

K = 1.926 x 10^-4

concentration of PCl5 = 0.213 / 3.40 = 0.0626

PCl5(g) -----------------> PCl3(g) + Cl2(g)

0.0626Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 0Â Â Â Â Â Â Â Â Â Â Â 0

0.0626 - xÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â xÂ Â Â Â Â Â Â Â Â Â Â Â x

K = x^2 / 0.0626 - x

1.926 x 10^-4 = x^2 / 0.0626 - x

x = 0.00337

equilibrium concentrations :

[PCl5] = 0.0626 - x = 0.0592 M

[PCl3] = x = 0.00337 M

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Phosphorus pentachloride decomposes according to the chemical equation PCl5(g) ïƒŸ-ïƒ PCl3(g) + Cl2(g) A 0.213 mol...

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90.2K

Verified Solution

Question

Chemistry

Phosphorus pentachloride decomposes according to the chemicalequation PCl5(g) ïƒŸ-ïƒ PCl3(g) + Cl2(g) A 0.213 mol sample of PCl5(g)is injected into an empty 3.40 L reaction vessel held at 250degrees C. Calculate the concentrations of PCl5(g) and PCl3(g) atequilibrium.

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