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Question

Chemistry Question on Chemical Kinetics

The kinetic study of a reaction like vA \to P at 300 K provides the following curve, where concentration is taken in mol dm3^-3 and time in min. Identify the correct order(n) and rate constant(k) :

A

n = 0, k = 4.0 mol dm 3min1^{-3}min^{-1}

B

n = 1/2, k = 2.0 mol1/2mol^{1/2} dm3/2min1dm^{3/2} min^{-1}

C

n = 1, k = 8.0 min1 min^{-1}

D

n = 2, k = 16.0 dm3mol1min1 dm^{3}mol^{-1}min^{-1}

Answer

n = 2, k = 16.0 dm3mol1min1 dm^{3}mol^{-1}min^{-1}

Explanation

Solution

r0=4[A0],r0=16[A0]2,Rate=k[A0]nk=16andn=2\sqrt{r_{0}}=4\left[A_{0}\right], r_{0}=16\left[A_{0}\right]^{2}, Rate =k\left[A_{0}\right]^{n} \therefore k=16 and n=2