Answer:
After three hours, concentration of C₂F₄ is 0.00208M
Step-by-step explanation:
The rate constant of the reaction:
2 C2F4 → C4F8 is 0.0410M⁻¹s⁻¹
As the units are M⁻¹s⁻¹, this reaction is of second order. The integrated law of a second-order reaction is:
![(1)/([A]) =(1)/([A]_0) +Kt](https://img.qammunity.org/2021/formulas/chemistry/high-school/3a06saiolz6282x1qd83mywb5tn70wlfzv.png)
Where [A] and [A]₀ represents initial and final concentrations of the reactant (C₂F₄), K is rate constant (0.0410M⁻¹s⁻¹) and t is time of the reaction (In seconds).
3.00 hours are in seconds:
3 hours ₓ (3600 seconds / 1 hour) = 10800 seconds
Initial concentration of C2F4 is:
0.105mol / 4.00L = 0.02625M
Replacing in the integrated law:
![(1)/([A]_0)= (1)/(0.02625) +0.0410M^(-1)s^(-1)*10800s\\(1)/([A]_0)=480.9M^(-1)](https://img.qammunity.org/2021/formulas/chemistry/high-school/2ufibgwl7p96fpz6sllb8oktdhmznear9c.png)
[A] = 0.00208M
After three hours, concentration of C₂F₄ is 0.00208M