Final answer:
The rate of the reaction for the decomposition of dinitrogen pentoxide (N₂O₅) at a concentration of 0.40 M with a rate constant of 6.2 × 10⁻⁴ min⁻¹ is 2.48 × 10⁻⁴ M/min.
Step-by-step explanation:
To calculate the rate of the reaction for the decomposition of dinitrogen pentoxide (N₂O₅), we need the rate constant and the concentration of N₂O₅. The decomposition reaction of N₂O₅ in the gas phase is:
2N₂O₅(g) → 4NO₂(g) + O₂(g)
Given that the rate constant for this first-order reaction at 45 °C in chloroform (CHCl₃) is 6.2 × 10⁻⁴ min⁻¹ and the concentration of N₂O₅ is 0.40 M, the rate of the reaction can be calculated using the formula:
Rate = k[N₂O₅]
Where k is the rate constant and [N₂O₅] is the concentration of dinitrogen pentoxide. Therefore, the rate of the reaction is:
Rate = (6.2 × 10⁻⁴ min⁻¹)(0.40 M)
This gives us a rate of 2.48 × 10⁻⁴ M/min for the reaction when the concentration of N₂O₅ is 0.40 M.