Problem: The data shown below were collected for the following first-order reaction: N 2O(g) → N2(g) + 1/2 O2(g) Temperature (K) Rate Constant (1/s)8003.24 x 10 - 59000.0021410000.061411000.955Use an Arrhenius plot to determine frequency factor for the reaction.
FREE Expert Solution
FREE Expert Solution
We’re being asked to determine the frequency factor (A) of a reaction
We’re given the following data
Temperature (K) | Rate Constant (1/s) |
800 | 3.24 x 10^{ - 5} |
900 | 0.00214 |
1000 | 0.0614 |
1100 | 0.955 |
We will plot it using the following two-point form of the Arrhenius Equation:
$\overline{){\mathbf{ln}}{\mathbf{}}{\mathbf{k}}{\mathbf{=}}{\mathbf{-}}\frac{{\mathbf{E}}_{\mathbf{a}}}{\mathbf{R}}{\mathbf{}}\left(\frac{\mathbf{1}}{\mathbf{T}}\right){\mathbf{}}{\mathbf{+}}{\mathbf{}}{\mathbf{ln}}{\mathbf{}}{\mathbf{A}}}$
where:
k = rate constant
E_{a} = activation energy (in J/mol)
R = gas constant (8.314 J/mol • K)
T = temperature (in K)
A = Arrhenius constant or frequency factor
Problem Details
The data shown below were collected for the following first-order reaction: N _{2}O(g) → N_{2}(g) + 1/2 O_{2}(g)
Temperature (K) Rate Constant (1/s)8003.24 x 10^{ - 5}9000.0021410000.061411000.955Frequently Asked Questions
What scientific concept do you need to know in order to solve this problem?
Our tutors have indicated that to solve this problem you will need to apply the Arrhenius Equation concept. You can view video lessons to learn Arrhenius Equation Or if you need more Arrhenius Equation practice, you can also practice Arrhenius Equation practice problems .
What is the difficulty of this problem?
Our tutors rated the difficulty of The data shown below were collected for the following first-... as medium difficulty.
How long does this problem take to solve?
Our expert Chemistry tutor, Sabrina took 10 minutes to solve this problem. You can follow their steps in the video explanation above.
What professor is this problem relevant for?
Based on our data, we think this problem is relevant for Professor McIntosh's class at Maricopa Community Colleges - South Mountain Community College.