First-order decay processes as described in the previous problem can also be applied to a variety of atomic and molecular processes. For example, in aqueous solution the decay of singlet molecular oxygen (O₂(¹Î”_g)) to the ground-state triplet configuration proceeds according to:

In the above expression, 1 [O₂ (1Δg)] is the concentration of singlet oxygen at a given time, and the subscript €œ0€ indicates that this is the concentration of singlet oxygen present at the beginning of the decay process (t = 0).

a. How long does one have to wait until 90% of the singlet oxygen has decayed?

b. How much singlet oxygen remains after t = (2.4 × 10⁵ s^ˆ’1)^ˆ’1?

[0,('4,)] -(2.4x10' s-1)r