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Rate equation table

I willl upload the question, im stuck on the last row of the table experiment 3. To work conc of A in experiment 3 i did 4x10-5/0.053 (0.053 is the rate constant) but because in the rate equation A is 2nd order i square root my answer and i get 0.0:0094.... but the actal answeer is 3.0x10-5 for conc of A in experiment 3image.jpg
(edited 5 years ago)
It is given that the rate equation is rate = k[A]^2
so the rate is independent of
compare 1 and 2:
1 to 2: [A] doubles, so rate x 4. Hence rate is 4.8 x 10^-5 mol dm^-3 s^-1

compare 1 and 3:
1 to 3: rate x 4. So [A] doubled. so [A] = 2 x 1.5 x 10^-2 = 3.0 x 10^-2 mol dm^-3

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