Chemical Kinetics vs ODE

The “Chemical Kinetics” is an ultimate tool for solving all kind of chemical kinetics problems. It deals with time dependent quantitative analysis of chemical reactions. Specifically, this application solves chemical reaction rate equations and provides graphical representation of reagent and product concentrations vs time. Additionally, app calculates half-life times and equilibrium constants, where it is appropriate. Theoretical Background: For a general chemical reaction: aA + bB => cC + dD, the reaction rate is defined by: rate=k * A^x * B^y where k – is a rate coefficient and sum of powers x and y determines the reaction order. Importantly, actual powers x and y may differ from reaction coefficients a and b, due to overall reaction mechanism complexity. The application features: · User is provided with list of basic mono-step unidirectional and equilibrium reactions, where reaction coefficients are actually represent powers and therefore define reaction order: 2A => B, rate = k[A]^2 A+B = C+D, rate = k1[A] [B] - k2[C] [D] · k1 is a rate coefficient of forward reaction in equilibrium process or rate coefficient for first step in multistep process. Similarly, k2, when available, is a rate coefficient of backward reaction in equilibrium process or rate coefficient for second step in multistep process. · To start plotting the reaction data initially or after updating the concentration or coefficient fields, user is requested to tap Run button. Run button is greyed out immediately after successful calculation. · Complete reaction information is provided on top of the plot: concentrations at certain time point (defined by user or provided automatically), optionally equilibrium constant value and half-life time. · When time field is empty, the app automatically determines the time range. To redefine reaction time limit and find out component concentrations at the altrnative time point, user may update the time field. · Significant attention should be paid to units of rate coefficients. App automatically changes the set of available units as per order of reaction. Units acronyms: d - days, h - hours, a - atmosphere, s - seconds, min - minutes, y - years, M -molars, Pa - pascals. · The basic conversions are as follows: M-1·s-1 = (1e-3) mM-1·s-1 = (60e-3) mM-1·min-1 = (3600) M-1·h-1 1 atm=101325 Pa

The ODESolverIntegrator is a simple but elegant app to find the integral of ODEs. You can solve (find the integral of) nonlinear ODEs. You can reduce the higher order ODE to a set of first order ODEs. You can solve (find the integral of) linear ODEs in the form of ẋ = Ax + Bu; y = Cx + Du. This app uses Runge-Kutta 4th order algorithm to solve the ODEs. Once the ODEs are solved, a beautiful interactive graph for each ODE's is created that you can share with other or save it locally. The reduced ODE's equations are presented beautifully in the math-equation format. You can compute definite integral (single, double, tripple). It uses the midpoint method. It automatically saves your hard work locally on your device so you can come back and pick up from where you left off as your great effort will not be lost. This app also has a Study page to help you learn important integration rules like, power rule, product rule, ect. This app is perfect for students learning calculus. Sharpen you brain by using this app and learning about the calculus. This is an app for all student groups. From high school to college to university students. Be creative. Enjoy the app!