In the synthesis of NH₃ from H₂ and N₂ , if 6 10⁻² mole of hydrogen disappears in 10 minutes, the number of moles of NH₃ formed in 0.3 minutes is:

Step-by-step solution

The balanced chemical equation for the synthesis of ammonia is: N₂ + 3H₂ 2NH₃ The rate of disappearance of H₂ is given by: - d[H₂] dt = 6 10⁻² 10 = 6 10⁻³ mol min ⁻¹ From the stoichiometry of the reaction, the rate of formation of NH₃ is related to the rate of disappearance of H₂ as: 1 2 d[NH₃] dt = - 1 3 d[H₂] dt d[NH₃] dt = - 2 3 d[H₂] dt = 2 3 6 10⁻³ = 4 10⁻³ mol min ⁻¹ The number of moles of NH₃ formed in 0.3 minutes is: Moles of NH₃ = Rate Time = 4 10⁻³ 0.3 = 1.2 10⁻³ moles Answer: 1.2 10⁻³ moles