A 199-cm³ vessel contains krypton gas at a temperature of 24°C and a pressure of 0.862 atm. Unfortunately, the vessel has a tiny hole in its wall, and over a period of 510. minutes the pressure drops to 0.842 atm. What is the radius of the hole? (Assume the hole is circular. Also assume that the effusion rate is independent of the pressure over this range. Use the average pressure when solving the wall collision rate equation.) m

A 199-cm³ vessel contains krypton gas at a temperature of 24°C and a pressure of 0.862 atm. Unfortunately, the vessel has a tiny hole in its wall, and over a period of 510. minutes the pressure drops to 0.842 atm. What is the radius of the hole? (Assume the hole is circular. Also assume that the effusion rate is independent of the pressure over this range. Use the average pressure when solving the wall collision rate equation.) m

Introductory Chemistry: An Active Learning Approach

6th Edition

ISBN:9781305079250

Author:Mark S. Cracolice, Ed Peters

Publisher:Mark S. Cracolice, Ed Peters

Chapter4: Introduction To Gases

Section: Chapter Questions

Problem 2PE

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Concept explainers

Kinetic-Theory of Gases

Kinetic theory of gases is the model or method which was developed in the 19th century by Maxwell and Boltzmann. This is possible as the interatomic force which is of short-range forces that are important for solids and liquids can be neglected for gases. This theory or gas law gives a molecular interpretation of the pressure and temperature of a gas and is consistent with gas laws and Avogadro’s hypothesis. This theory is very helpful to correctly explain the specific heat capacities of many gases, kinetic energy and it also explains the transport qualities such as viscosity, thermal conductivity, and diffusion with molecular parameters. As stated in the kinetic-molecular theory, the temperature of a substance or gas particle is related to the average kinetic energy of the particles of that substance. When a substance is heated, some of the absorbed energy is stored within the particles, while some of the energy increases the motion of the particles, called average kinetic energy.

Question

A 199-cm³ vessel contains krypton gas at a temperature of 24°C and a pressure of 0.862 atm. Unfortunately, the vessel has a tiny hole
in its wall, and over a period of 510. minutes the pressure drops to 0.842 atm. What is the radius of the hole? (Assume the hole is
circular. Also assume that the effusion rate is independent of the pressure over this range. Use the average pressure when solving the
wall collision rate equation.)
m

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