For a given reaction R P , t _ 1 / 2 is related to [ A ]₀ as given in table. Given: 2=0.30 Which of the following is true? A. The order of the reaction is 1 / 2 . B. If [ A ]₀ is 1 M , then t _ 1 / 2 is 200 10 ~min C. The order of the reaction changes to 1 if the concentration of reactant changes from 0.100 M to 0.500 M . D. t _ 1 / 2 is 800 min for [ A ]₀=1.6 M Choose the correct answer from the options given below:

Step-by-step solution

t₁ 2 (C₀ )^ 1- aligned & t₁ t₂ = ( C₁ C₂ )^ 1- & 200 100 = ( 0.100 0.025 )^ 1- & 2=(4)^ 1- & (1- )= 1 2 & = 1 2 & For = 1 2 & -d A d t =k(A)^ 1 2 & _ C₀ ^C d A (A)^ 1 2 =- ₀^t k d t & 2 ~A ^ 1 2 =- kt & C - C ₀ = - kt 2 & C - C ₀ - kt 2 & For C ₀=0.1 t _ 1 2 =200 ~min & c₀ 2 = c₀ - k t 2 & kt 2 = c ₀ - c ₀ 2 & kt 2 = c ₀ ( 2 -1 2 ) & t_ 1 2 = 2 c₀ k ( 2 -1 2 ) & 200= 2 0.1 k ( 2 -1 2 ) aligned k = 0.1 100 ( 2 -1 2 ) For C ₀=1 M t_ 1 2 = 2 100( 2 ) 0.1 ( 2 -1) ( 2 -1) 2 200 10 ~min . B is correct C is incorrect For