Which assumptions of the kinetic–molecular theory explain the behavior of gases described by Gay-Lussac's law? Explain your answer.

Question

Accepted Answer

Welcome back, everyone. Which of the following postulates of kinetic molecular theory best describes Gay Loose Tax law and we need to explain why. So let's begin by recalling that our Gay Loose Socks Law tells us that pressure is directly proportional to temperature under conditions of constant volume. And note that in this law, our temperature is in terms of Kelvin units. Now, we want to think of the applications of kinetic molecular theory which ultimately, we recall help us explain the behavior of gasses since it's based on the idea that gasses consisting of small particles being molecules or atoms are in constant motion. So within kinetic molecular theory, we want to recall a key postulate in which we recall that small particles with large spaces or separating these particles allow for the creation of compression. And we should recall that this is explained by the fact that gas particles will occupy a smaller amount of space and can be compressed without gas molecule interactions. Another key postulate we should recall is that elastic collisions of particles with one another or with the walls of their container will correspond to a maintenance of kinetic energy. So kinetic energy is maintained and this allows for pressure to be created. So ultimately, all kinetic energy is converted into gas pressure. And lastly, we want to recall our third key postulate under kinetic molecular theory in which we can derive a direct relationship between kinetic energy of particles to the temperature in Kelvin. And this therefore results in a linear relationship between pressure and temperature. Now, all of these facts that we've outlined to describe Gay Lusaka's law also apply to Charles and boils his loss where we should recall that for Boyle's law, pressure is directly related to inverse volume at constant temperature. And for Charles Law, we should recall that volume is directly proportional to temperature at constant pressure. So let's look at our answer choices based on what we've outlined, looking at choice. A it says that the postulate that best describes gala sacks law is gas particles, kinetic energy is proportional to the Kelvin temperature because this shows that the pressure and temperature of gas particles have a linear relationship. We definitely outlined that with our third key postulate where due to in our second key postulate elastic collisions, the maintenance of kinetic energy allows for the creation of pressure. And because kinetic energy is directly related to temperature, there is therefore a linear relationship between pressure and temperature. So we would agree with choice A as a correct statement to best describe Gay Loose tax law. And now moving onto choice B, it reads that the postulate that best describes Gay Loose tax law is gas particles occupy a much smaller amount of space than the amount of space between particles. Because this shows that a gas can be compressed without gas molecule interactions. We would also recognize this as a true statement based on what we've outlined. Since we understand that gas particles will occupy a smaller amount of space, then the amount of space between our particles and lastly choice reads that the postulate that best describes Gala Socks law is the gas particle collisions are elastic, whether they are with other particles or the contain wall because this shows that all of the kinetic energy is converted into gas pressure. And we certainly outline this within our second postulate where due to the maintenance of kinetic energy because of these elastic collisions pressure is therefore created. So choice C is also a correct choice to best described a loose tax law. And so we would confirm that choice D is going to be for all of the above statements A through C as best describing Gay Loose tax Law based on our three key postulates within kinetic molecular theory that applied to not only Gay Loose tax Law, but also Boyle's Law and Charles Law. So choice D is going to be our final answer to complete this example. I hope that this made sense and let us know if you have any questions

Which assumptions of the kinetic–molecular theory explain the behavior of gases described by Gay-Lussac's law? Explain your answer.

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Key Concepts

Kinetic-Molecular Theory

Gay-Lussac's Law

Assumptions of Ideal Gases