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[Solved] Kc for PCl5(g) ⇌ PCl3(g) + Cl2(g) is 0.04 at 250°C. How many moles of PCl5 must be added to a 3L flask to obtain a Cl2 concentration of 0.15 M

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Kc for PCl5(g) ⇌ PCl3(g) + Cl2(g) is 0.04 at 250°C. How many moles of PCl5 must be added to a 3L flask to obtain a Cl2 concentration of 0.15 M

(a) 4.2 moles

(b) 2.1 moles

(c) 5.5 moles

(d) 6.3 moles

1 Answer
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Correct answer: (b) 2.1 moles

Explanation:

At equilibrium the moles of Cl2 must be

= 0.15 × 3 = 0.45

PCl5(g) ⇌ PCl3(g) + Cl2(g)

Eqn. Conc. \(\frac{x - 0.45}{3}\)  \(\frac{0.45}{3}\)  \(\frac{0.45}{3}\)

Kc = \(\frac{[PCl_3][Cl_2]}{[PCl_5]}\)

∴ 0.04 = \(\frac{0.15\times 0.15}{\frac{(x-0.45)}{3}}\)

∴ x = 2.1 moles

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