Answer:
67.3 s
Explanation:
The equation for the reaction can be represented as:
N₂O₅ ⇄ NO₂ + O₂
Rate (k) = [tex]5.89 * 10^{-3[/tex]
Rate law for first order is expressed as:
In [A] = -kt + In [A]₀
Given that:
[A] = Final Concentration = 1.85 M
[A]₀ = Initial Concentration = 2.75 M
time-taken = ???
substituting our given data; we have:
In[1.85] = -[5.89 × 10⁻³](t) + In [2.75]
t = [tex]\frac{In(2.75)-In(1.85)}{(5.89*10^{-3}}[/tex]
t = [tex]\frac{0.3964}{5.89*10^{-3}}[/tex]
t = 67.3 s