Archive of posts with tag “calculus”
The concentration change of gas in reversible reactions
A reversible elementary reaction takes place inside a closed, highly thermally conductive container of constant volume, whose reactants are all gases. Given the reaction equations and the reaction rate constants, a natural question to ask is how the concentration of each gas changes w.r.t. time. In this article, I will answer this question by proposing a general approach to solve it.
- Categories: chemistry
- Tags: calculus, ode, chemical reaction, long paper
Normal vectors of a scalar field
This article gives the formula for the normal vectors of a surface defined by a scalar field on . The normal vector of the graph of the function at is . This also provides us a way to recover a scalar field from the normal vectors of its graph: normalizing the vectors so that the last component is , and then integrate the rest components.
- Categories: math
- Tags: calculus, vector analysis