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In a reaction if the concentraion of...

In a reaction if the concentraion of reaction A is tripled, the rate of reaction becomes twety seven times. What is the order the reaction ?

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The correct Answer is:
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Rate of any elementary reaction can be represented as
` " "r=k[A]^(n)`
After changing concentration to its triple value A = 3A, r becomes 27 r
`" "27r=k[3A]^(n)`
`" "(r)/(27r)=(k[A]^(n))/(k[3A]^(n))`
`" "(1)/(27)=[(1)/(3)]^(n)rArr[(1)/(3)]^(3)=[(1)/(3)]^(n)`
Hence, `n`=3
Order or reaction is three.
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