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Rate of effusion of a gas depends upon:
  • a)
    Size of pin hole
  • b)
    Pressure
  • c)
    Temperature
  • d)
    Molecular mass
Correct answer is option 'A,B,C,D'. Can you explain this answer?
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Factors Influencing Rate of Effusion
The rate of effusion, which is the process of gas escaping through a small hole, is influenced by several key factors:
Size of the Pin Hole
- A larger pinhole allows more gas molecules to escape simultaneously, increasing the rate of effusion.
- Conversely, a smaller pinhole restricts the flow, resulting in a slower rate.
Pressure
- According to Graham's law, an increase in pressure on one side of the pinhole increases the rate of effusion.
- Higher pressure pushes more gas molecules toward the hole, facilitating a quicker escape.
Temperature
- Temperature affects the kinetic energy of gas molecules.
- Higher temperatures result in faster-moving molecules, increasing the likelihood of them escaping through the hole.
- Hence, an increase in temperature correlates with a higher rate of effusion.
Molecular Mass
- Graham's law also states that the rate of effusion is inversely proportional to the square root of the molecular mass of the gas.
- Lighter gases effuse faster than heavier gases because they have higher average speeds at a given temperature.
In summary, the rate of effusion is a complex interplay of these factors, with each contributing significantly to how quickly a gas can escape through a small opening. Understanding these principles is crucial in various applications, including gas separation and diffusion processes in chemistry.
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