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Question: For a chemical reaction \(A \rightarrow B\) it is found that the rate of reaction doubles, when the ...

For a chemical reaction ABA \rightarrow B it is found that the rate of reaction doubles, when the concentration of A is increased four times. The order in A for this reaction is.

A

Two

B

One

C

Half

D

Zero

Answer

Half

Explanation

Solution

r=K[A]mr = K\lbrack A\rbrack^{m} also 2r=K[4A]m2r = K\lbrack 4A\rbrack^{m}, 12=(14)m\frac{1}{2} = \left( \frac{1}{4} \right)^{m}

m=12\therefore m = \frac{1}{2} .