The effects of gravitational potential on chemical reaction rates

This study aims to answer through a mathematical model and its numerical simulation the question whether the kinetic rate constants of chemical reactions are influenced by the strength of gravitational field. In order to calculate the effects of gravity on the kinetic rate constants, the model of kinetic rate constants derived from collision theory is amended by introducing the mass and length corrections provided by general relativity. Numerical simulations of the model show that the rate constant is higher where the gravitational field is more intense.

Chemical Kinetics

Chemical Kinetics discusses the rate at which chemical reactions occur and how these rates can be expressed mathematically, with a review of the factors which affect reaction rates. Topics presented with a numerical focus include reaction rate measurements, rate laws and their components including rate constants, determination of reaction orders from integrated rate laws, and effects of temperature on rates. Reaction half life and its determination are discussed. Collision theory, which forms the basis of the rate law, is presented with emphasis on the effect of temperature on the rate constant and the rate. The Arrhenius equation and the concept of activation energy are discussed with illustrative calculations for determining the energy of activation.

Approximation Solution for the Zener Impact Theory

Collisions can be classified as completely elastic or inelastic. Collision mechanics theory has gradually developed from elastic to inelastic collision theories. Based on the Hertz elastic collision contact theory and Zener inelastic collision theory model, we derive and explain the Hertz and Zener collision theory model equations in detail in this study and establish the Zener inelastic collision theory, which is a simple and fast calculation of the approximate solution to the nonlinear differential equations of motion. We propose an approximate formula to obtain the Zener nonlinear differential equation of motion in a simple manner. The approximate solution determines the relevant values of the collision force, material displacement, velocity, and contact time.

Development of Mathematical Model to Study the Variation Temperature due to the Collision of

To study the variation of temperature with the collision of the air molecules, with aircraft the authors consider the random velocities of the air molecules or aerosol and aircraft. After this, the authors start to develop and extend the old relation of gases, collision, velocities, and temperature. On combining, the authors derived a new equation and relation among these parameters. The derivation for this work assumes some suitable and considerable, assumptions based on collision theory. The relation shows, on collision between the aircraft and air molecules the velocity of the aircraft does not change while the velocity of the air molecules goes on change, which is our goal. The change in velocity of gases is used to develop and study the variation of temperature of the atmosphere, the variation of temperature takes place because the speed of aircraft and air molecules are exchangeable in some cases. Therefore, two relations are developed (24) and (25), finally, which depend upon the initial velocities of aircraft and air molecules. On considering the case for initial velocities of aircraft is greater than initial velocities of air molecules, after the collision, the velocities of gases go on the increase, and hence the temperature increase and vice-versa in case of initial velocities of aircraft is less than the initial velocity of air molecules.