what happens to the particles kept at some temperature-they get energy and start thermal motion - the average K.E. of particles is related to the temp. and Boltzmann Constant.Janiceleong26 said:
At a given temperature, how much KE will each particle have? (You have to assume some collisions will be head on.)Janiceleong26 said:
drvrm said:
Half of the total KE, but why? I thought they are asking for the sample? Why do we need to consider KE of just one of them?haruspex said:
They are asking for the temperature at which you would expect the reaction to occur. It doesn't have to occur for all particle pairs immediately. Leaving aside that some will have greater than the average KE, they will be moving in various directions. From the temperature you can find the average KE of any given particle, but the reaction involves two particles. Their relative directions of travel matter. Which case makes them most likely to reach the required KE level?Janiceleong26 said:
Janiceleong26 said:
Not sure what you mean by that. Shared between what?drvrm said:
haruspex said:
Doesn't the equation in your post answer that?drvrm said:
well it does -but the question is being asked as to why half of the total KE of the two (given in the question) is being used for estimating T.haruspex said:
When they collide head-on?haruspex said:
It means that given those average KEs each, you can expect the reaction to start.Janiceleong26 said:
Ok, got it, thanks very much!haruspex said:
The formula for calculating the temperature for a reaction to occur is the Arrhenius equation, which is T = (Ea/R) * ln(A/k). This equation takes into account the activation energy (Ea), the gas constant (R), the pre-exponential factor (A), and the rate constant (k).
The activation energy (Ea) can be determined experimentally by measuring the rate of the reaction at different temperatures and then using the Arrhenius equation to calculate the Ea value. It can also be estimated by using the slope of the linear portion of an Arrhenius plot.
The Arrhenius equation can be used to calculate the temperature for any reaction that follows first-order kinetics, meaning that the rate of the reaction is directly proportional to the concentration of the reactants. However, for more complex reactions, other factors may need to be considered in addition to temperature.
Increasing the temperature generally increases the rate of a reaction, as it provides more energy for the reactant molecules to overcome the activation energy barrier. This is due to the fact that at higher temperatures, more molecules have enough energy to react, leading to a higher rate of reaction.
Aside from the factors included in the Arrhenius equation, there are other factors that can influence the temperature for a reaction to occur. These include the presence of a catalyst, which can lower the activation energy and thus decrease the required temperature for the reaction to occur. The concentration and physical state of the reactants, as well as the pressure and presence of other substances, can also affect the temperature for a reaction to occur.