Butadiene, C₄H₆ (used to make synthetic rubber and latex paints) reacts to C₈H₁₂ with a rate law of rate = 0.014 L/(mol·s) [C₄H₆]². What will be the concentration of C₄H₆ after 3.0 hours if the initial concentration is 0.025 M?

Question

Quizplus · Accepted Answer

Using the given rate law, we can set up a differential equation: $\frac{d[C₄H₆]}{dt} = k[C₄H₆][C₈H₁₂]$ Where k = 0.014 L/(mol·s). Separating variables and integrating, we get: $\int_{[C₄H₆]0}^[C₄H₆]t \frac{d[C₄H₆]}{[C₄H₆]}$ = $\int_0^t k[C₈H₁₂]dt$ After solving the above equation, we'll get concentration of C₄H₆ after 3 hours equal to 0.0052 M. Hence the answer is choice A.

Butadiene, C4H6 (Used to Make Synthetic Rubber and Latex Paints)

Butadiene, C₄H₆ (Used to Make Synthetic Rubber and Latex Paints)