From the kinetic theory of gases and the law of perfect gases, we can derive Graham`s formula of diffusion or effusion. According to Graham`s Law, molecules or atoms of lower molecular weight will come out faster at constant pressure and temperature than molecules or atoms of higher molecular weight. Thomas even discovered the speed at which they escaped through broadcast. In other words, it indicates that the effusion rate of a gas is inversely proportional to the square root of its molecular weight. This formula is generally used to compare the rates of two different gases at the same pressures and temperatures. The formula can be written as follows: that is, the effusion rate multiplied by the square root of the mass (relative molecular weight or molar mass) is a constant. It`s the same term as for the diffusion rate! The diffusion or effusion rate is thought to be directly proportional to the mean square velocity or any other average velocity. Graham`s Law states that the rate of diffusion or effusion of a gas is inversely proportional to the square root of its molecular weight. Thus, if the molecular weight of one gas is four times that of another, it would diffuse through a porous plug or escape through a small hole in one container at half the speed of the other (heavier gases diffuse more slowly). A complete theoretical explanation of Graham`s law was provided years later by the kinetic theory of gases. Graham`s Law provides a basis for isotope separation by diffusion – a method that played a crucial role in the development of the atomic bomb.  Graham`s research into gas diffusion was triggered by his reading of German chemist Johann Döbereiner`s observation that hydrogen gas from a small crack in a glass bottle diffused faster than the surrounding air to replace it. Graham measured the rate of diffusion of gases through gypsum plugs, through very thin pipes and through small openings.
In this way, it slowed down the process so that it could be studied quantitatively. He first established in 1831 that the rate of effusion of a gas is inversely proportional to the square root of its density, and later in 1848 showed that this rate is inversely proportional to the square root of the molar mass.  Graham then studied the diffusion of substances in solution and discovered that some apparent solutions are actually suspensions of particles too large to pass through a parchment filter. He called these materials colloid, a term that refers to an important class of finely dispersed materials.  Finally, an example showing how to calculate molar mass from effusion velocity data. Note that this answer is reasonable: since Ne is lighter than Xe, the effusion rate of Ne is higher than that of Xe, which means that the effusion time of Ne is less than that of Xe. Before discussing Graham`s Law in detail, it is worth knowing the basic definitions of diffusion and effusion. Solution: The effusion rate, r1 = 432 ml/36 min = 12 ml min−1 r2 = 288 ml/48 min = 6 ml min−1 Molar mass, M2 = 64 g mol−1 The gas outlet is due to the pressure difference between the container and the external environment. In the study of chemistry or physics, the effusion rate is used to calculate the density, pressure, and temperature of gases. If a gas mixture is placed in a container with porous walls, the gases seep through the small openings in the walls. Lighter gases pass through small openings faster (at higher speed) than heavier ones (Figure 3).
In 1832, Thomas Graham studied the frequency of the effusion of various gases and formulated Graham`s law on effusion: The rate of effusion of a gas is inversely proportional to the square root of the mass of its particles: Okay, so let`s talk about Graham`s law. Graham`s Law states that the diffusion rate of a gas is inversely proportional to the square root of its molar mass. Now, let`s break down exactly what that means. Okay.So, we define diffusion because the word effusion comes from the word diffusion. All right. Diffusion therefore means the movement of one material through another. So, let`s say let`s use it, let`s take a picture for ourselves and say you`re sleeping on a Saturday morning and your mom or dad is downstairs and they`re making your breakfast. All right? And so you will be woken up by the smell of bacon and so you are really looking forward to having breakfast on the ground floor. Well, how did this bacon scent come to you? When your parents are downstairs preparing your breakfast, those smelling gas particles are like traveling from the kitchen through your house, down the stairs, into your bedroom, and finally into your nose. This ranges from a high concentration, the kitchen to a low concentration, your bedroom.
Thus, gas particles pass through the material air that is already in your home. So this is an example of dissemination. An example of an effusion where the gas could be a tea kettle through a small opening. A tea kettle, the gas produced when boiling water in a kettle, escapes from the small hole in the opening and makes that hiss. This is an example of an outpouring. Often, a gas particle can escape from a nylon balloon, helium gas can escape into the nylon balloon, and the gas can shrink and the balloon shrink. It is also an example of effusion. So let`s talk about what it actually means and how fast these particles go. Okay, so we know that the effusion rate is equal to the square root, the inverse of the square root of the molar mass.