For a zero-order reaction 2 A 3 B with rate constant k , consider the following statements: (I) The rate of disappearance of A is 2k . (II) The half-life of the reaction is [ A ]₀ 2k . (III) The rate of appearance of B is 3k . (IV) The reaction goes to 100 % completion in time t = [ A ]₀ k . How many of the above statements are correct?

Step-by-step solution

For the zero-order reaction 2 A 3 B , the rate of reaction is given by: Rate = - 1 2 d[ A ] dt = 1 3 d[ B ] dt = k Statement (I): The rate of disappearance of A is - d[ A ] dt = 2k . This statement is correct. Statement (III): The rate of appearance of B is d[ B ] dt = 3k . This statement is correct. The integrated rate law for this reaction is: [ A ]₀ - [ A ]_t = 2kt Statement (II): At half-life ( t_ 1/2 ), [ A ]_t = [ A ]₀ 2 . [ A ]₀ 2 = 2kt_ 1/2 t_ 1/2 = [ A ]₀ 4k . This statement is incorrect. Statement (IV): F