The rate of reaction A + B → P is 4 × 1 0 − 2 mol dm − 3 s − 1 When [ A ] = 0.2 mole dm − 3 and [ B ] = 0.1 mole dm − 3 , What is the rate constant of reaction, if it is first order with respect to A

Question

The rate of reaction A + B → P is 4 × 1 0 − 2 mol dm − 3 s − 1 When [ A ] = 0.2 mole dm − 3 and [ B ] = 0.1 mole dm − 3 , What is the rate constant of reaction, if it is first order with respect to A and second order with respect to B ?

TestHub · Accepted Answer

The rate law for the given reaction is:

$Rate = k [A]^{1} [B]^{2}$

Substituting the given values into the rate law equation:

$4 \times 1 0^{- 2} = k (0.2) (0.1)^{2}$

$4 \times 1 0^{- 2} = k (0.2) (0.01)$

$4 \times 1 0^{- 2} = k (2 \times 1 0^{- 3})$

$k = \frac{4 \times 1 0 ^{- 2}}{2 \times 1 0 ^{- 3}}$

$k = 20 mol^{- 2} dm^{6} s^{- 1}$

Answer: $20 mol^{- 2} dm^{6} s^{- 1}$

Chemistry - Chemical Kinetics Question with Solution | TestHub

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