Liquid A decomposes with nth-order kinetics in a batch reactor A->B, r =kca. the conversion of A reaches 50% in a five minute run. a. What is the order of the reaction if it takes 10 minutes to reach 75% conversion?
b. What is the order of the reaction if it takes 20 minutes to reach 75% conversion?
c. What is the order of the reaction if it takes 30 minutes to reach 75% conversion?

A) 1

B) 2.5

C) 3.32

Explanation:

The  possibility of n=1 is not achievable in 20 minutes and 30 minutes as calculated n=1 for 10 minutes. The same conversion cannot be achieved for the  rest of the time which is impossible as 75% conversion and it cannot   be achieved at 10 min and 20 min at the same time

A) what is the order of the reaction if it takes 10 minutes to reach 75% conversion

= n ( order )  = 1

B) what is the order of reaction if it takes 20 minutes to reach 75% conversion

= n ( order ) ≈ 2.5

C) what is the order of reaction if it takes 30 minutes to reach 75% conversion

= n ( order ) ≈ 3.32

attached below is a detailed solution

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