Time required for 90 % completion of a first order reaction is ' x ' minute. Calculate the time required to complete 99.9 % of the reaction at same temperature.

Step-by-step solution

aligned t _ 90 % & = 2.303 k ₁₀ [ A ]₀ [ ~A ]_t = 2.303 k ₁₀ 100 10 & = 2.303 k ₁₀ 10 t _ 99.9 % & = 2.303 k ₁₀ [ A ]₀ [ ~A ]_ t = 2.303 k ₁₀ 100 0.1 & = 2.303 k ₁₀ 1000 t _ 99.9 % t _ 90 % & = 2.303 k ₁₀ 1000 2.303 k ₁₀ 10 = ₁₀ 1000 ₁₀ 10 = 3 1 t _ 99.9 % & =3 t _ 90 % =3 x minute (since, t _ 90 % =x minute) aligned