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Solve for the rate constant of first order and 2nd order reaction with example and find the half life reaction when order of reaction is 3/2, 1/2, 1

Solve for the rate constant of first order and 2nd order reaction with example and find the half life reaction when order of reaction is 3/2, 1/2, 1

Grade:Upto college level

1 Answers

Naveen Kumar
askIITians Faculty 60 Points
7 years ago
For the 3/2 order,
Let rate,r= -d[A]/dt=k[A]3/2
..................-d[A]/[A]3/2=kdt
...................-\int_{[A]_0}^{[A]_t}[A]^{-3/2}d[A]]=k\int_{0}^{t}dt
…...............................[[A]^{-1/2}]_{[A]_0}^{[A]_t}=2kt

{\frac{1}\sqrt{[A]_t}}-{\frac{1}\sqrt{[A]_0}} =2*k*t

For half-life t_{1/2} , [A]t=[A]0/2, t1/2=1/2k[A]01/2;Similarly for ½ and 1storder

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