Chemistry, 12.07.2019 18:00 brendaesme
Butadiene, c4h6 (used to make synthetic rubber and latex paints) dimerizes 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?
Answers: 1
![[\text{C}_4 \text{H}_6] \approx 5.2 \times 10^{-3} \; \text{mol} \cdot \text{L}^{-1}](/tpl/images/0081/8065/95395.png)
![\text{d} [\text{C}_4 \text{H}_6] /\text{d}t = - 0.014 \cdot [\text{C}_4 \text{H}_6]^{2}](/tpl/images/0081/8065/1e7b2.png)
![[\text{C}_4 \text{H}_6]](/tpl/images/0081/8065/d460c.png)
the reactant concentration, in 
(or equivalently, 
the time into the reaction process, in seconds, and![\text{d} [\text{C}_4 \text{H}_6] /\text{d}t](/tpl/images/0081/8065/ecac7.png)
the reaction rate in differential form.![[\text{C}_4 \text{H}_6]](/tpl/images/0081/8065/b0566.png)
andtime ![-[\text{C}_4 \text{H}_6]^{-2} \cdot \text{d} [\text{C}_4 \text{H}_6] = 0.014 \cdot \text{d}t](/tpl/images/0081/8065/bdd3e.png)
") for concentration ![\int(- [\text{C}_4 \text{H}_6]^{-2} )\cdot \text{d} [\text{C}_4 \text{H}_6] = \int 0.014 \cdot \text{d}t](/tpl/images/0081/8065/2717c.png)
![[\text{C}_4 \text{H}_6]^{-1} = 0.014 \cdot \text{t} + C](/tpl/images/0081/8065/1115a.png)
![[\text{C}_4 \text{H}_6] = 1/ (0.014 \cdot \text{t} + C)](/tpl/images/0081/8065/70ac6.png)
concentration ![[\text{C}_4 \text{H}_6] = 0.025 \text{mol}\cdot \text{L}^{-1}](/tpl/images/0081/8065/88dc1.png)
, as seen in the question)![1/ (0.014 \cdot \text{t} + C) = 1\; /\; C = [\text{C}_4 \text{H}_6]_{\text{initial}} = 0.025](/tpl/images/0081/8065/1402b.png)
concentration at time 
given an initial 
would be  = 1/(0.014 \cdot t +40)](/tpl/images/0081/8065/aea30.png)
 = 5.2 \times 10^{-3} \; \text{mol} \cdot \text{L}^{-1}](/tpl/images/0081/8065/e3cd4.png)
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Butadiene, c4h6 (used to make synthetic rubber and latex paints) dimerizes to c8h12 with a rate law...
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