The rate constant for a first order reaction is 4.606 × 10 – 3   s – 1 . The time required to reduce 2.0   g of the reactant to 0.2   g is :

Step-by-step solution

k = 4 . 606 × 10 − 3 s − 1 k = 2 . 303 t log C ∘ C t where C ∘ = initial concentration C t = concentration after time t k = 2 . 303 t log 10 2 0 .2 4 . 606 × 10 − 3 × t = 2 . 303 × log 10 t = 1000 2 = 500   s