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Chapter 10: Problem 87

Explain the difference between effusion and diffusion.

Short Answer

Expert verified
Effusion is a process where gas particles escape from a container through a small opening or hole individually, while diffusion is the movement of particles from an area of higher concentration to an area of lower concentration until equilibrium is reached. Effusion is influenced by factors such as the size of the hole, temperature, and particle mass, whereas diffusion is determined by factors like concentration gradient, temperature, and particle size.

Step by step solution

01

1. Define Effusion

Effusion is a process where gas particles escape from a container through a small opening or hole. The particles move out individually and escape into the surroundings or another container. The rate of effusion depends on factors such as the size of the hole, the temperature, and the mass of the gas particles. A common example of effusion is the escape of air from a punctured tire or a balloon.
02

2. Define Diffusion

Diffusion is a process where particles (generally gas or liquid) move from an area of higher concentration to an area of lower concentration, eventually reaching an equilibrium state where the particles are evenly distributed. This movement is due to the random motion of particles and their interaction with one another. An everyday example of diffusion is the dispersion of scent particles from a perfumed candle throughout a room.
03

3. Compare and Contrast Effusion and Diffusion

Effusion and diffusion are both processes related to the movement of particles. Here are their key differences: - Effusion involves gas particles escaping through a small opening as individual particles, while diffusion is the spreading of particles throughout a medium until they are evenly distributed. - Effusion typically occurs when there is a pressure difference between the inside and outside of a container, while diffusion occurs due to a concentration gradient. - The rate of effusion is influenced by factors such as the size of the hole, temperature, and particle mass, whereas the rate of diffusion is determined by factors such as concentration gradient, temperature, and particle size. In conclusion, effusion and diffusion are two distinct processes of particle movement. Effusion is the escape of gas particles from a container through a small opening, while diffusion is the spreading of particles from an area of higher concentration to an area of lower concentration within a medium, eventually reaching an equilibrium state.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Gas Particle Movement
In understanding how gases behave, it's pivotal to comprehend the fundamental concept of gas particle movement. Gas particles are in constant, random motion, colliding with each other and with the walls of their container. This behavior aligns with the kinetic molecular theory, which helps explain various gas-related phenomena, including effusion and diffusion.

The chaotic and continuous motion of gas particles is driven by their kinetic energy, which in turn is affected by the gas's temperature. A higher temperature means greater kinetic energy, leading to faster movement of particles. This kinetic energy is also impacted by the mass of the particles; lighter particles (those with less mass) will typically move faster than heavier ones. This basic knowledge of gas particle movement is integral to understanding how and why gases effuse or diffuse under certain conditions.
Concentration Gradient
The concept of a concentration gradient is key to explaining not just diffusion, but many processes that involve the movement of particles. A concentration gradient is the difference in the proportion of particles, such as molecules of a substance, within a given space or between two regions.

Particles tend to move down their concentration gradient, from a region of high concentration to a region where they are less concentrated, until an equilibrium state is reached. This movement is a form of passive transport, requiring no external energy because particles move due to their innate kinetic energy. Diffusion is an outstanding example: scent molecules spread from where they are most concentrated (the source) to evenly fill the surrounding space. The steeper the concentration gradient, the faster the rate of diffusion, as particles seek to balance out the unequal distributions of concentration across the medium.
Equilibrium State
Equilibrium state is an essential concept in both chemistry and physics, signifying a condition where the properties of a system are unvarying over time. In the context of gas movement, an equilibrium state is reached when the concentration of gas particles becomes uniform throughout the space they occupy.

This does not mean that the particles stop moving; rather, the overall distribution of gas particles remains consistent despite their constant motion. Effusion can contribute to reaching equilibrium within a closed system if the gas particles are able to escape the system. Otherwise, diffusion works alone to ensure that particles spread out to achieve a uniform concentration. The equilibrium state is critical to many natural and industrial processes, as systems will naturally move towards equilibrium over time, and understanding this process is vital for the manipulation or control of these systems.

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Most popular questions from this chapter

Assume that an exhaled breath of air consists of \(74.8 \% \mathrm{~N}_{2}\), \(15.3 \% \mathrm{O}_{2}, 3.7 \% \mathrm{CO}_{2},\) and \(6.2 \%\) water vapor. (a) If the total pressure of the gases is 0.985 atm, calculate the partial pressure of each component of the mixture. (b) If the volume of the exhaled gas is \(455 \mathrm{~mL}\) and its temperature is \(37^{\circ} \mathrm{C},\) calculate the number of moles of \(\mathrm{CO}_{2}\) exhaled. (c) How many grams of glucose \(\left(\mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6}\right)\) would need to be metabolized to produce this quantity of \(\mathrm{CO}_{2}\) ? (The chemical reaction is the same as that for combustion of \(\mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6} .\) See Section 3.2 and Problem \(\left.10.59 .\right)\)

The atmospheric concentration of \(\mathrm{CO}_{2}\) gas is presently 390 ppm (parts per million, by volume; that is, \(390 \mathrm{~L}\) of every \(10^{6} \mathrm{~L}\) of the atmosphere are \(\left.\mathrm{CO}_{2}\right)\). What is the mole fraction of \(\mathrm{CO}_{2}\) in the atmosphere?

Hydrogen gas is produced when zinc reacts with sulfuric acid: $$ \mathrm{Zn}(s)+\mathrm{H}_{2} \mathrm{SO}_{4}(a q) \longrightarrow \mathrm{ZnSO}_{4}(a q)+\mathrm{H}_{2}(g) $$ If \(159 \mathrm{~mL}\) of wet \(\mathrm{H}_{2}\) is collected over water at \(24{ }^{\circ} \mathrm{C}\) and a barometric pressure of 738 torr, how many grams of \(Z\) n have been consumed? (The vapor pressure of water is tabulated in Appendix B.)

Consider the following gases, all at STP: \(\mathrm{Ne}, \mathrm{SF}_{6}, \mathrm{~N}_{2}, \mathrm{CH}_{4} .\) (a) Which gas is most likely to depart from the assumption of the kinetic-molecular theory that says there are no attractive or repulsive forces between molecules? (b) Which one is closest to an ideal gas in its behavior? (c) Which one has the highest root-mean-square molecular speed at a given temperature? (d) Which one has the highest total molecular volume relative to the space occupied by the gas? (e) Which has the highest average kinetic-molecular energy? (f) Which one would effuse more rapidly than \(\mathrm{N}_{2} ?\) (g) Which one would have the largest van der Waals \(b\) parameter?

Consider a mixture of two gases, \(A\) and \(B\), confined in a closed vessel. A quantity of a third gas, \(C,\) is added to the same vessel at the same temperature. How does the addition of gas \(\mathrm{C}\) affect the following: (a) the partial pressure of gas \(A,\) (b) the total pressure in the vessel, \((\mathbf{c})\) the mole fraction of gas \(\mathrm{B} ?\)
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