460.6 minutes
230.3 minutes
23.03 minutes
46.06 minutes
K = 0.693/t1/2
K = 0.693/6.93 = 0.1 min⁻¹
For a first-order reaction,
ln(A₀/A) = Kt
Where,
A₀ = Initial concentration
A = Concentration at time t
K = Rate constant
t = Time
For 99% completion, only 1% of the reactant remains.
Therefore, A = 0.01A₀
ln(A₀/0.01A₀) = 0.1t
ln(100) = 0.1t
4.605 = 0.1t
t = 46.05 minutes ≈ 46.06 minutes