77 476
Assignments Done
99,1%
Successfully Done
In July 2019

Answer to Question #14966 in Calculus for Julia

Question #14966
The gas substance consist of nitrogen oxide and oxygen. Find the oxygen concentration when nitrogen oxide oxides with maximal rate.
Expert's answer
We have the following equation of chemical reaction:
2NO + O_2 = 2NO_2
The
speed of this reaction can be calculated as:
V = kx^2 * y,
where
x -
concentration of NO,
y - concentration of O_2,
k - constant, depends only
on temperature.

Let's substitute y = 100 - x:
V = kx^2 * (100 - x) =
k(100x^2 - x^3).
The derivative is:
dV / dx = k(200x - 3x^2) = 0.
Then
x1 = 0 and x2 = 66.7%.
The first root cannot be the solution of the problem.
So, x = 66.7%
and finally:
y = 100 - 66.7 = 33.3% - concentration of
O_2.

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be first!

Leave a comment

Ask Your question

Submit
Privacy policy Terms and Conditions