Question

The specific rate constant of the decomposition of N₂O₅ is 0.008 min⁻¹. The volume of O₂ collected after 20 minutes is 16 ml. The volume that would be collected at the end of the reaction is ______ mL. NO₂ formed is dissolved in CCl₄.

Options

• 15.50

• 17.49

• 18.23

• 19.78

Answer 1

The specific rate constant of the decomposition of N₂O₅ is 0.008 min⁻¹. The volume of O₂ collected after 20 minutes is 16 ml. The volume that would be collected at the end of the reaction is 17.49 mL. NO₂ formed is dissolved in CCl₄.

Explanation:

Given k = 0.008 min⁻¹

From the unit of k, the reaction is of the order of first.

∴ k = `2.303/20 log  "V"_∞/("V"_∞ - "V"_"t")`

⇒ 0.008 = `2.303/20 log  "V"_∞/("V"_∞ - 16)`

⇒ 0.0695 = `log  "V"_∞/("V"_∞ - 16)`

⇒ V_∞ = 17.49 mL